A toy car and a battery together costs £44. The ratio of the cost of the car to the battery is 10:1. How much did the battery cost?

Answers

Answer 1

Answer:

4,4

Step-by-step explanation:

44x1/10


Related Questions

please help quickly!!!A shuffled deck of cards is placed face-down on the table. It contains 5 hearts, 6 diamonds, 4 clubs and 3 spades. What is the probability that the top two cards are both spades?.

Answers

The probability of getting two spades when two cards are drawn from the deck is 1/17.

What is probability?

Probability branch of mathematics the deal with the likewood of an event occouring. It is the measure of how likely it is something will happen or be the case. Probabilities expressed as a number between zero and one 00 indicates impossibility and one indicus certainity. Probability can be used to calculate the chances of certain outcome based on a state condition or data. Probability can also be used to make decision and prediction about the future.

The probability of getting two spades when two cards are drawn from a shuffled deck of cards is 3/52 x 2/51, or 1/17.

This is because there is a 3/52 chance of getting the first spade and a 2/51 chance of getting the second spade (since there is one less card in the deck).

Therefore, the probability of getting two spades when two cards are drawn from the deck is 1/17.

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Freddy had two of the brownies from a large pan. His friend said he ate 1/8 of the brownies in the pan. Tell why you agree or disagree.

Answers

I agree that Freddy ate 1 / 8 of the brownies in the pan because two brownies represents 1 / 8 of the brownies in the pan.

How to find the proportion of brownies eaten ?

The large pan is said to have been used to make 16 brownies which means that if Freddy ate 2 brownies out of this, the proportion that he would have eaten of the cookies in the pan is:

= Number of brownies Freddy ate / Number of total brownies in the large pan

= 2 / 16

= 1 / 8

This therefore shows that Freddy's friend was right in saying that Freddy ate 1 / 8 of the brownies in the pan.

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Full question is:

A large pan is used to make 16 brownies. Freddy had two of the brownies from a large pan. His friend said he ate 1/8 of the brownies in the pan. Tell why you agree or disagree.

A soda company would like to replace the label on a can of soda with a radius of 2 and three fourths cm. If the label touches end to end with no overlap, what is the length of the label? Use 22 over 7 for π.

121 over 7 cm
121 over 14 cm
121 over 28 cm
121 over 56 cm

Answers

The length of the label is 121 over 28. (option C)

What is the length of the label?

The length of the label is equivalent to the circumference of the cylinder. The circumference of an object is the distance round the object.

The formula for circumference of a cylinder = 2πr

Where:

π = 22/7

r = 2 3/4 = 11/4

2 x 22/7 x (11/4) = 121/28 cm

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Answer: 121/7

Step-by-step explanation: I got it correct :)

h is defined by the rule


h(x)=2x-3

Answers

The complete function table using the defined function rule is as shown below.

How to solve function tables?

We are given the function rule as;

h(x) = 2x - 3

From the function table attached, we will need to find the value of the function h(x) at x = -3, -2, 1, 3, 5

Thus;

Plugging in the value of -3 for x in the given function rule gives us the output as;

h(-3) = 2(-3) - 3

h(-3) = -9

Plugging in the value of -2 for x in the given function rule gives us the output as;

h(-2) = 2(-2) - 3

h(-2) = -7

Plugging in the value of 1 for x in the given function rule gives us the output as;

h(1) = 2(1) - 3

h(1) = -1

Plugging in the value of 3 for x in the given function rule gives us the output as;

h(3) = 2(3) - 3

h(3) = 3

Plugging in the value of 5 for x in the given function rule gives us the output as;

h(5) = 2(5) - 3

h(5) = 7

Thus, the complete function table is;

x        h(x)

-3       -9

-2       -7

1         -1

3         3

5         7

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Ravi and Susan each opened a savings account today. Ravi opened his account with a starting amount of $650, and he is going to take out $40 dollars per month. Susan opened her account with a starting amount of $850 dollars, and she is going to take out $65 per month. Write an expression to show how much money will be in each account after 6 months, and also another to show when the two accounts would have the same amount of money.

Answers

The amount in Ravi account after 6 months will be $410.

The amount in Susan account after 6 months will be $460

How to illustrate the expression?

From the information, Ravi and Susan each opened a savings account today. Ravi opened his account with a starting amount of $650, and he is going to take out $40 dollars per month. This will be:

650 - 40m

Susan opened her account with a starting amount of $850 dollars, and she is going to take out $65 per month. This will be:

850 - 65m

The amount in Ravi account after 6 months will be;

= 650 - 40(6)

= 410

The amount in Susan account after 6 months will be:

= 850 - 65(6)

= $460

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MARKING BRAINLIEST!!!!! The Sea Dragon, a pendulum ride at an amusement park, moves from its central position at rest according to the trigonometric function below, where t represents time, in seconds. F(t) = 20cos (2pi/5)t, how many seconds does it take the pendulum to complete one full cycle?

Answers

According to the trigonometric function,  F(t) = 20 cos (2π/5)t where t represents time, in seconds. representing the pendulum ride of the sea dragon. It will take the pendulum 5 seconds to complete one full cycle.

What is a period in math?

A period on a graph function is the distance between two repeating points.

The graph repeats itself as it advances along the x-axis, as you can see.

Periods are the cycles of this predictable repetition. Every 6.28 units, or 2 pi radians, this graph repeats.

The equation is F(t) = 20 cos (2π/5)t

The amplitude of the equation is 20 and the graph makes 2π/5 oscillations at every t seconds

the period to complete an oscillation which is 2π

2π/5 * t = 2π

t = 2π * 5/2π  

t = 5 seconds

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Question 4(Multiple Choice Worth 2 points)
(Slope LC)
What is the slope of the line that contains the points (2, -8) and (-4,4)?

2
1/2
-1/2
-2

Answers

Answer:

the slope is -2

Step-by-step explanation:

hope this helps!!

You or your parents purchased a car for 28,125+7. 5% sales tax the down payment is 3125 your fair credit rating what is your new principal balance at the beginning of the second month if you pay $529.75 at the end of the first month

Answers

26,706.08 nearest to  26,706.14

What is purchase?

Purchasing is the set of functions associated with acquiring the goods and services that an organization requires. Purchasing is a small subset of the broader procurement function.

The 6 key steps of the purchasing process are:

Identification of the need The description of the product characteristics Drafting the specifications. Is it necessary to issue a tender Supplier sourcing Preparing for the negotiation In-depth analysis of applications

Fair secured apr: 5.60% = 0.4666% for 1 month

28,125 x 1.075 = 30,234.38 - 3125 = 27,109.38

27,109.38 x 1.004666 = 27,235.87 - 529.79 = 26,706.08

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Classify the variables in the data if it’s (qualitative, nominal, ordinal, quantitative, discrete, or continuous etc)

Answers

Answer:

Like

Step-by-step explanation:

1. Nominal

2. Discrete

3. Quantitative

4. discrete

5. discrete

6. Qualitative

Emily wants to plan a garden in her backyard Emily's mom says she can make a card and that has a width of 5/6 yard and a length of 1/4 yard what is the area of Emilys new garden?

Answers

Therefore , the solution of the given problem of surface area comes out to be  0.2083 yard square.

Exactly what is surface area?

A surface is a measurement of how much overall space an object's surface takes up. Surface area of a three-dimensional shape is determined by the total area of its surroundings. Surface area is the term used to describe a triangular shape's entire surface area. The particular area of each face on a cube with six square faces can be added up to determine the cube's surface area. Alternately, you can get the box's dimensions by using the following formula: Surface (SA) equals twice twice twice twice. A three-dimensional shape's surface area is calculated as the sum of all the space it occupies.

Here,

Given : width : 5/6 yard

and length = 1/4 yard

To find the area = length * width

=> area = 5/6 * 1/4

=> area = 5/24

=> 0.2083 yard square.

Therefore , the solution of the given problem of surface area comes out to be  0.2083 yard square.

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Edgar works in the shipping department of a toy manufacturer. Toy cars weigh 6 pounds apiece and are shipped in a container that weighs 5 pounds when empty. Toy trucks, which weigh 3 pounds apiece, are shipped in a container weighing 20 pounds. When packed with toys and ready for shipment, both kinds of containers have the same number of toys and the same weight. What is the number of toys?

Answers

The number of toys is 5 in each container.

What is an Equation?

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Let x be the number of toys in each container.

Weight of one toy car = 6 pounds

Weight of the container in which toy cars shipped = 5 pounds

Weight of x toy cars = 6x

Total weight of the container when toy cars are placed = 6x + 5

Weight of one toy truck = 3 pounds

Container weight = 20 pounds

Weight of x toy trucks = 3x

Total weight of the container when toy trucks are place = 3x + 20

Given that both containers have same weight.

6x + 5 = 3x + 20

6x - 3x = 20 - 5

3x = 15

x = 5

Hence the number of toys in each container is 5.

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Multiply.

8×35

Enter your answer as a mixed number in simplest form by filling in the boxes
PLS HELP

Answers

Answer:

280

Step-by-step explanation:

Answer:

8×35=280.

This is the best I can give to you

What is the value of

Answers

Answer:

  1

Step-by-step explanation:

[tex](\frac{2}{3} )^{0} =1[/tex]

[tex](1)^{-3} =1[/tex]

Hope this helps

Let f(x) and g(x) be polynomials as shown below f(x)=a 0 +a 1 x+a 2 x^ 2 ...+a n x^ n; g(x)=b 0 +b 1 x+b 2 x^ 2 ...+b m x^ m Which of the following is true about f(x) and g(x) ? . f(x) and g(x) are not closed under addition because when added, the result will be a polynomial B. f(x) and g(x) are not closed under addition because when added, the result will not be a polynomial_ f(x) and g(x) are closed under addition because when added, the result will not be a polynomial . D. f(x) and g(x) are closed under addition because when added , the result will be a polynomial

Answers

Considering the closure under property the polynomials f(x) = a 0 + a 1 x + a 2 x^ 2 ... + a n x^ n; and g(x) = b 0 + b 1 x + b 2 x^ 2 ... + b m x^ m

D. f(x) and g(x) are closed under addition because when added , the result will be a polynomial

What is closure under property?

In mathematics, a set is considered closed if we are able to apply and complete an operation on its components while consistently receiving a component from the same set.

A set therefore either possesses closure for a given mathematical operation or it does not.

Use of real numbers is the closure property of addition. Addition of two real numbers results in areal number

In the given problem, the set considered is polynomial addition and the addition of the two polynomial will give a sum which is a polynomial hence we say it is closed under addition.

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Multiply: (x + 3) (x2 + x – 2)

Answers

Answer:

x3+4x2+x-6

Step-by-step explanation:

do it your selve

x
A
B
C
Number of Cars
4x D
300
Based on the information in this chart, which statement is true?
200
100
0
li
8-10am 10am-12pm 12-2pm
2-4pm
Time of Day
6-8pm
8-10pm
Around the same number of cars are on the busy street between 10 am -12 pm and 6-8 pm.
Around the same number of cars are on the busy street between 10 am - 12 pm and 2-4 pm.
Around the same number of cars are on the busy street between 10 am - 12 pm and 2 - 6 pm.
Around the same number of cars are on the busy street between 10 am- 12 pm and 12 - 2 pm.

Answers

Answer:

between 10 am - 12 pm and 2-4 pm.

1. The flight of Jae and Miguel's rocket t seconds after launch is modeled by
h(t) = -5t² + 40t + 1, where h(t) is their rocket's height in meters.
What was their rocket's height in meters 0.5 seconds after launch?

Answers

19.75 meters is the rocket's height when it has 0.5 seconds after launch

What is a function?

A relation is a function if it has only One y-value for each x-value.

Given that The flight of Jae and Miguel's rocket t seconds after launch is modeled by

h(t) = -5t² + 40t + 1

h(t) is their rocket's height in meters.

we have to find the rocket's height in meters 0.5 seconds after launch

Put t=0.5 in the above function.

h(0.5)=-5(0.5)² + 40(0.5)+ 1

=-5(0.25)+20+1

=-1.25+20+1

=19.75

Hence, 19.75 meters is the rocket's height when it has 0.5 seconds after launch

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Ok so I need help with this

Answers

Answer:

Step-by-step explanation:

1 Wanderer

2 moves on its own orbits the sun

3 Saturn

4 saturn

Which ordered pairs are solutions to the system of equations (-2,1.6)(0,3 3/5)(2,5 3/5) y=-0.5x+0.6
Y=x+3 3/5

Answers

The ordered pairs are solutions to the system of equations are (-2,1.6)

How to determine which ordered pairs are solutions to the system of equations?

In order to determine which ordered pairs are solutions to the system of equations, you need to equate the two equations and solve for x:

y = -0.5x+0.6 and y= x+3 3/5

-0.5x+0.6 = x+3 3/5

-0.5x+0.6 = x+3.6

x+3.6 + 0.5x-0.6 = 0

1.5x + 3 = 0

1.5x = -3

x = -3/1.5

x = -2

y =-0.5x+0.6

y = -0.5(-2) + 0.6

y = 1.6

y = x + 3.6

y = -2 + 3.6

y = 1.6

Thus, the ordered pairs are (-2, 1.6)

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(04.05 HC)
An applicant receives a job offer from two different companies.
Offer A is a starting salary of $55,000 and a 5% increase for 5
years. Offer B is a starting salary of $56,000 and an increase of
$2,000 per year.
Part A: Determine whether offer A can be represented by an
arithmetic or geometric series and write the equation for An, that
represents the total salary received after n years. Justify your
reasoning mathematically. (3 points)
Part B: Determine whether offer B can be represented by an
arithmetic or geometric series and write the equation for B, that
represents the total salary received after n years. Justify your
reasoning mathematically. (3 points)
Part C: Which offer will provide a greater total income after 5
years? Show all necessary math work. (4 points)

Answers

On solving the provided question of arithmetic , we can say that after five years, Offer A will offer a higher total income.

What is arithmetic sequence?

Every subsequent pair of terms in an arithmetic sequence has a constant difference. This resembles linear functions with the formula y=mx+b. There is a fixed ratio between every pair of subsequent terms in a geometric sequence. This would produce a constant multiplier effect.

Given that a candidate receives job offers from two different companies, with Offer A offering a starting salary of $ 55,000 and a 5% increase for 5 years and Offer B offering a starting salary of $ 56,000 and an increase of $ 2,000 per year, it is necessary to perform the following calculation to determine which offer will result in a higher total income after 5 years:

Offer A = Arithmetic

55000.r1.055 X

70, 195.48 — x

Offer B = Geometric

56000+ (5a•2000) X

56000+ 10000 = x

66,000 = x

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how much did bleep blair receive in royalties last year

Answers

I think it is $943,000

A cashier checks the price of a picnic basket that is marked $31, because it usually rings up at $36. What is the discount, as a percentage?

Round your answer to the nearest percent and include a percent sign (%).

HELP PLEASE

Answers

The discount as a percentage is 13.8%

How to calculate the discount as a percentage?

The price of a picnic basket is marked as $31

The original price is $36

The discount percentage can be calculated as follows

36-31/36 × 100

= 5/36 × 100

= 0.138× 100

= 13.8%

Hence the percentage discount is 13.8%

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One batch of brownies calls for 1 box of brownie mix and the ingredients shown.
Fudge-like brownie
2 eggs
1/4 cup of water
1/2 cup of oil
Cake-like brownie
3 eggs
1/4 cup of water
1/2 cup of oil

a. What amounts of eggs, water, and oil would you need for 2 batches of fudge-like brownies?

b. What amounts of eggs, water, and oil would you need for 3 batches of cake-like brownies?


Sorry if it's all confusing. If you don't know, then don't answer. Please answer if you know ASAP.

Answers

a) The amounts needed for 2 batches of fudge-like brownies are of:

Eggs: 4.Water: 1/2 cup.Oil: 1 cup.

b) The amounts needed for 3 batches of cake-like brownies are of:

Eggs: 9.Water: 0.75 cups.Oil: 1.5 cups.

How to obtain the needed amounts?

The needed amounts for each case are obtained applying the proportions in the context of this problem.

Hence:

The amounts needed for 2 batches of fudge-like brownies are obtained multiplying the amounts given for 1 box of fudge-like brownie (2 eggs, 1/4 of a cup of water and 1/2 of a cup of oil) by 2.The amounts needed for 3 batches of cake-like brownies are obtained multiplying the amounts given for 1 box of cake-like brownie (3 eggs, 1/4 of a cup of water and 1/2 of a cup of oil) by 3.

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The amounts of eggs, water, and oil needed for 2 batches of fudge-like brownies are:

eggs = 4cup of water = 2/4cup of oil = 1

The amounts of eggs, water, and oil needed for 3 batches of cake-like brownies are:

eggs = 9cup of water = 3/4cup of oil = 3/2

What is the ingredients needed for 2 batches?

One batch of Fudge-like brownies:

2 eggs

1/4 cup of water

1/2 cup of oil

One batch of Cake-like brownie

3 eggs

1/4 cup of water

1/2 cup of oil

The amounts of eggs, water, and oil needed for 2 batches of fudge-like brownies can be determined by multiplying each ingredients by 2

eggs = 4

cup of water = 2/4

cup of oil = 1

The amounts of eggs, water, and oil needed for 3 batches of cake-like brownies can be determined by multiplying each ingredients by 3

eggs = 9

cup of water = 3/4

cup of oil = 3/2

Therefore, the ingredients needed for the other batches is determined by multiplying each ingredients by the number of required batches.

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What did you include in your answer? Check all that apply.

Parallel lines have the same slope.
Parallel lines have equal slopes.
Parallel lines have different y-intercepts.
Parallel lines have different x-intercepts.s.

Answers

The lines that are true in the following statements are, Parallel lines have the same slope. Parallel lines have equal slopes. Parallel lines have different y-intercepts. Parallel lines have different x-intercepts.

What are parallel lines?

Two lines in the same plane that are equally spaced apart and never cross each other are said to be parallel lines in geometry. Both horizontal and vertical shapes are possible.

The following key traits and qualities make it simple to recognize parallel lines:

They are usually parallel straight lines that are spaced equally apart.

These lines are coplanar.

No matter how far you extend them in any direction, they never come together.

All the statements mentioned are true.

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Willy and Billy each have a rock collection.

• The number of rocks in Willy’s collection can be represented by x.
• The number of rocks in Billy’s collection is 223 times the number in Willy’s collection.
• The total number of rocks in both collections is 110.

What is x, the number of rocks in Willy’s collection?

Answers

The number of rocks in Willy’s collection is 30

How to calculate the fraction?

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split

In this case, the number of rocks in Willy’s collection can be represented by x and the number of rocks in Billy’s collection is 2 2/3 times the number in Willy’s collection.

The appropriate equation to illustrate this will be:

x + 2 2/3x = 110

3 2/3x = 110

x = 110 ÷ 11/3

x = 110 × 3/11

x = 30

There'll be 30 rocks

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Solving linear equations, mixture problem pls help

Answers

61.67 oz of the 55% acid solution and 33.33 oz of the 30% acid solution must be mixed to produce 100 ounces of a 43% acid solution.

This is a mixture problem that can be solved using algebra. We can set up a system of equations to represent the amount of each solution being used and the final acid concentration.

Let x be the amount of 55% acid solution and y be the amount of 30% acid solution used.

We can set up the following system of equations:

(55/100)x + (30/100)y = (43/100)(x + y) (Equation 1) represents the final acid concentration.

x + y = 100 (Equation 2) represents the total amount of solution mixed

We can solve for one variable in equation (1) by isolating it and substituting it into equation (2).

Solving for x in equation (1) we get: x = (100*43/100 - y30/100)/55/100

Substituting this value into equation (2) we get: (10043/100 - y30/100)/55/100 + y = 100

Solving for y we get: y = (100*100 - 100*43)/30 = 33.33 oz

And then substituting this value back into the equation x = (100*43/100 - y30/100)/55/100 we get x = 61.67 oz

So, 61.67 oz of the 55% acid solution and 33.33 oz of the 30% acid solution must be mixed to produce 100 ounces of a 43% acid solution.

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Translate the following phrase into an algebraic expression. Do not simplify. Use the variable name x or y to describe the unknowns
5 times a number, divided by 6

Answers

Answer: The phrase "5 times a number, divided by 6" can be translated into the algebraic expression:

(5/6)x

This expression represents "5 times a number, divided by 6", where x is the unknown number.

Step-by-step explanation:

????What’s the answer??

Answers

Answer: d

Step-by-step explanation: -5 is the intercept since x is 0 above it.

using the y2-y1 / x2-x1  we will get 2/4 (1/2 when simplified).

10. Which of the following must be true?

Answers

Note that in the above mathematical scenario involving two similar triangles, the option that MUST  be correct is AC < FH (Option C) This solution is arrived at using the Open Mouth Theorem.

What does the Open Mouth Theorem state?

The above-stated Theorem in Geometry asserts that if two sides of two triangles are congruent and the included angle differs, then the greater angle is opposite the longer side.

This theorem is known as the Open Mouth Theorem because it is based on the idea that the two sides of a triangle are "pivoted" at their common vertex.

Please keep in mind that this theorem only works if we know two pairs of sides are congruent like this.

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write an equation of the line that passes through (4,3) and is parallel to the line y=1/4x+10​

Answers

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{4}}x+10\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so we're really looking for the equation of a line whose slope is 1/4 and that it passes through (4 , 3)

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{3})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{ \cfrac{1}{4}}(x-\stackrel{x_1}{4}) \\\\\\ y-3=\cfrac{1}{4}x-1\implies {\Large \begin{array}{llll} y=\cfrac{1}{4}x+2 \end{array}}[/tex]

Other Questions
A sample containing years to maturity and yield (%) for 40 corporate bonds is contained in the following table: a) Develop a scatter diagram of the data using x = years to maturity as the independent variable. Does a simple linear regression model appear to be appropriate? b) Develop an estimated regression equation with x = years to maturity and x as the independent variables. c) As an alternative to fitting a second-order model, fit a model using the natural logarithm of price as the independent variable; that is, = b0 + b1 ln(x). Does the estimated regression using the natural logarithm of x provide a better fit than the estimated regression developed in part (b)? Explain.Company TickerYears to MaturityYieldHSBC124.079GS9.755.367C4.753.332MS9.255.798C9.754.414TOTAL52.069MS54.739WFC103.682TOTAL103.27TOTAL3.251.748BAC9.754.949RABOBK9.754.203GS9.255.365AXP52.181MTNA54.366MTNA106.046JPM4.252.31GE265.13LNC104.163BAC53.699FCX104.03GS25.56.913RABOBK4.752.805GE26.755.138HCN74.184GE9.53.778VOD51.855NEM103.866GE10.767C25.758.204SHBASS52.861PAA10.253.856GS3.753.558TOTAL1.751.378MS44.413WFC1.250.797AIG53.452BAC29.755.903MS11.816T28.54.93 Description on E-commerce not more than 10 sentences The term _____ is applied to water that exceeds the average 35 parts per thousand salinity, and the term _______ applies to water that is less than 35 parts per thousand salts. Assume that you have been assigned the 200.35.1.0/24 network block. 1. Specify 200.35.1.0/24 network in binary format and dotted decimal notation. (Write down both network and network mask in binary format and dotted decimal notation.) Suppose that the cost of manufacturing x pairs of shoes is c=f(x) dollars. What are the units of f(x)? Brown Industries has a debt-equity ratio of 1.6. Its WACC is 10 percent, and its cost of debt is 7 percent. There is no corporate tax.What would the cost of equity be if the debt-equity ratio were 2? (Do not round intermediate calculations and enter your answer as a percent rounded to the nearest whole number, e.g., 32.)What is the companys cost of equity capital? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)What would the cost of equity be if the debt-equity ratio were .4? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)What would the cost of equity be if the debt-equity ratio were zero? (Do not round intermediate calculations and enter your answer as a percent rounded to the nearest whole number, e.g., 32.) "In a recession, firms expect profits to be lower. In response, they scale back investment expenditure. This causes"inflation and interest rates to both riseinflation and interest rates to both fallinflation to rise and interest rates to fallinflation to fall and interest rates to rise Design and implement an iterator to flatten a 2d vector. It should support the following operations: next and hasNext. Example:Vector2D iterator = new Vector2D([[1,2],[3],[4]]);iterator. Next(); // return 1iterator. Next(); // return 2iterator. Next(); // return 3iterator. HasNext(); // return trueiterator. HasNext(); // return trueiterator. Next(); // return 4iterator. HasNext(); // return false in vsfs, what is the byte address of the inode with inode number 45? consider the markov chain with the following transitions, p= 1/2, 1/3, 1/6 write the one step transition probability matrix Given the fact that U(49) is cyclic and has 42 elements, deduce the number of generators that U(49) has without actually finding any of the generators. ABC must pay liabilities of 1000 due in 6 months and another 1000 due in one year. There are two available investments. (i) A 6-month bond with face value of 1,000, a r = 4% nominal annual coupon rate compounded semiannually, and a nominal annual yield rate of i = 3%. (ii) A one-year bond with face value of 1000, a coupon rate of r = 5% compounded semiannu- ally, and a nominal annual yield rate of i = 6%. a. How much of each bond should ABC purchase in order to exactly match the liabilities? b. What is ABC's total cost of purchasing the bonds required to exactly match the liabilities ? The inverted-U theory suggests that R&D expenditures first rise, reach a peak, and then fall as the profitability of the firm increases. A) True B) False. FALSE Which number makes the equation true? 90 18 3 = 14 + ___ When Kate shops at Macys, she interacts with commissioned salespeople in the store who provide her with details about products she may buy. This is an example ofa) push strategy.b) pull strategy.c) institutional advertising.d) persuasive advertising.e) reminder selling. PLEASE HELP ASAP I dont know how to do this This is the link for the chart: fire.ca.gov/stats-events/ Which school subject is Mara studying for?Mara est estudiando para su clase. Est aprendiendo sobre los pases, las capitales y dnde estn en el mapa del mundo. Ahora setiene que memorizar las capitales de los pases de Europa.O arteO geografaO cienciasO espaol Discuss why choosing wrong friend may subject you to unrealistic expectations resulting inconflict with your family A cylindrical metal specimen having an original diameter of 11.05 mm and gauge length of 51.7 mm is pulled in tension until fracture occurs. The diameter at the point of fracture is 6.58 mm, and the fractured gauge length is 68.3 mm. Calculate the ductility in terms of (a) percent reduction in area (percent RA), and (b) percent elongation (percent EL). according to a pew research center survey published in 2019, what percentage of american adults used the internet in the previous year?