Find the simple interest owed if $340 is borrowed at 6.6% for 9 years

Answer:2

Step-by-step explanation:1+1=2

Answer: 2

Step-by-step explanation:

1

+

1

____

2

The solution is greater than -1.5 and less than -1.

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

convert mixed fractions into improper fractions, then to decimal

14 2/5 = 72/5 = 14.4

11 1/8 = 89/8 = 11.125

Thus, the equation becomes:

14.4x+6.55= -11.125x-2.45 + 17 x

=>  14.4x + 11.125x - 17x = -6.55 -2.45

=>  8.525x = -9

=> x =  -9 / 8.525 = -1.055

solution of the equation rounded to the nearest tenth = -1.1

Thus, The solution is greater than -1.5 and less than -1.

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The store had $0 profit first in month 4 and then in month 10

The maximum profit of $1000 occurred in month 7

The function is given as

p(z) = -z² + 14z - 40

Next, we set p(z) = -z² + 14z - 40 = 0 and then solve for z.

So, we ha

-z² + 14z - 40 = 0

Rewrite as

z² - 14z + 40 = 0

Factorize

(z - 10)(z - 4) = 0

Solve for z

z = 10 and z =4

So the store had a profit of zero dollars in month 4 and then in month 10

Here, we calculate the vertex using

x = -b/2a = -14/2*-1 = 7

Plugging this value into the function, we get:

p(7) = -7² + 14*7 -40 = 49-98+40 = 1

so the maximum profit was $1000 and it occurs in the month 7.

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The area of the irregular polygon is 24 square inches. Hence option A is the correct option.

What is an irregular polygon?

An irregular polygon does not have all of its sides equal, nor are all of its angles equal in size. Scalene triangles, right triangles, isosceles triangles, rectangles, parallelograms, irregular pentagons, irregular hexagons, and so on are examples of irregular polygons.

The length of DE is 5 in and HI is 5in.

The length of AL is 12in.

The length of AD + EH + IL = AL - (DE+HI) = 12 - (5+5) = 2 in

The length of AB = DC = EF = HG = IJ = LK = 7in.

The sum area of the rectangles ABCD, EFGH, and IJKL is

AB×AD + EF×EH + IJ×IL

= 7×AD + 7×EH +7×IL

= 7(AD + EH + IL)

= 7×2

= 14 square inches

The length of DW = EX = HY = IZ = 7 - 6 = 1in.

The area of DWXE is DW×WX = 1×5 = 5 square inches

The area of HYZI is HY×YZ = 1×5 = 5 square inches

The area of the irregular polygon is

14  + 5 + 5 square inches

= 24 square inches

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The solution to the equation 7x² - 10 = -17 is x = i

From the question, we have the following parameters that can be used in our computation:

7x^2-10=-17

Express the equation properly

So, we have the following representation

7x² - 10 = -17

Add 10 to both sides of the equation

This gives

7x² = -7

Divide both sides by 7

x² = -1

Take the square roots

x = √-1

Rewrite as

x = i

Hence, the solution is x = i

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By using the given relation, we can perform a change of units to get:

$2525 = 108,072.25 Ars.

Here we want to do a change of units, from US dollars to Argentine pesos.

We know the relation:

$0.023364 = 1 Ars.

Here we want to convert $2525 to argentine pesos, then we just need to divide by $0.023364

$2525 = ($2525/$0.023364) ars = 108,072.25 Ars.

That is the equivalent amount in Argentine pesos.

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The length of the longest side of ∆XYZ will be 40 cm. Then the correct option is A.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The sides of triangle ∆ABC have lengths of 3 cm, 8 cm, and 10 cm. If the smallest side of a similar triangle ∆XYZ has a length of 12 cm.

Let 'x' be the length of the longest side. Then the equation is given as,

x / 10 = 12 / 3

Simplify the equation, then we have

x / 10 = 12 / 3

x / 10 = 4

x = 40 cm

The length of the longest side of ∆XYZ will be 40 cm. Then the correct option is A.

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According to the line-plot Sofia needed 10(3/4) more feet of bricks.

What is the line-plot?

A line plot is a graph that shows data as checkmarks or dots across a number line, indicating the frequency of each value.

In the line plot the horizontal line is showing the values of the size in feet of the bricks say 'l'.

The number of vertically aligned crosses at a given value of  'l', indicates the length of bricks for which the 'l' is needed in the project.

Follow the formula - l × n (number of crosses) = total bricks in feet

0/4 × 0 = 0

1/4 × 2 = 2/4

2/4 × 4 = 8/4

3/4 × 3 = 9/4

1 × 6 = 6

To obtain the total size in feet add all the values -

L = 2/4 + 8/4 + 9/4 + 6

L = (2 + 8 + 9 + 24)/4

L = 43/4

L = 10(3/4)

Therefore, the feet of bricks required is 10(3/4).

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Answer:

you forgot the question

Step-by-step explanation:

The relationship between the green highlighted segment in triangle 2 and the blue highlighted segment in triangle 1 is D. The highlighted segments are congruent.

Congruent segments are segments in different shapes that have the same length and angle. In other words, they are identical to each other even though they are in different shapes.

The green highlighted segment in triangle 2 and the blue highlighted segment in triangle 1 are congruent segments because the blue highlighted segment was segment the green highlighted segment was derived from which is why they are the same.

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Answer:

279.05649m³

Step-by-step explanation:

Circumference = 2πr

6 = 2πr

6/2π = r

r = 9.424777961

Area = πr²

Area = π(9.424777961²)

Area = 279.05649m³

Answer:

-------------------------------

Slope- intercept form:

Use two points on the line:

The first point is the y- intercept:

The slope is:

The line is:

Answer: [tex]B. \frac{2}{7} -\frac{2}{k}[/tex]

Step-by-step explanation:

The value of dy when x changes from -1 to -1.1 for equation y = 4x² is 0.84.

Here we are given an equation y = 4x²

In an equation, dy/dx, implies the change in y due to a change in x.

Now here we already have given that x changes from -1 to -1.1.

Hence, here we need to find the values of y when x = -1 and when x = -1.1

Then we need to subtract the value of y when x = -1.1 and when x = -1

We are given y = 4x²

Hence when x = -1,

y = 4 X 1

= 4

When x = -1.1

y = 4 X 1.21

= 4.84

Hence dy = 4.84 - 4

= 0.84

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By solving the equation The answer is  -27+17r .Because the Given question is a Equivalent Equation

3+4(r-6)= 3(2+2r)+7r

3+4r-24=6+6r+7r

3-6-24+4r+6r+7r

-24+17r

Algebraic equations with equivalent solutions or roots are called equivalent equations. An analogous equation is one that is created by adding or removing the identical quantity or expression from both sides of a given equation. An equation is equivalent if both sides are multiplied or divided by the same non-zero value.

If two equations have the same solution, they are equivalent.

Equations that are equivalent can be created by adding, subtracting, multiplying, and dividing by the same number on either side of the equal sign.

Finding the value of the variable that makes the equation's condition true is the goal of equation solving. The subsequent actions are carried out while keeping the equation balanced on both sides in order to isolate the variable. By repeating this, LHS and RHS finally remain equal, and the equilibrium is maintained throughout.

We separate the variable on one of the sides of the equation after applying this approach of systematic balancing, which entails a series of identical mathematical operations on both sides of the equation. The final step is the solution of the equation.

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The equivalent function of the form J(t)= ab^t is J(t) = 448(16)^(t)

Equivalent functions are functions that work the same even though they look different. If two exponential functions are equivalent, then the two functions will have the same value when we substitute the same value(s) for the variable(s).

We can write the given function, (t)=28(4)^(2t+2) as:

J(t) = 28(4)^(2t+2)

J(t) = 28(4²)^(t) × 4²

J(t) = 28(16)^(t) × 16

J(t) = 448(16)^(t)

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Therefore , the solution of the given problem of unitary method comes out to be $ 4 for garry  and $ 1.33 for peter.

To accomplish a task through using unitary procedure, multiply the number of a tiny slice by two after first determining its size. The unit technique, to put it simply, is used to isolated a programmed object from either a specific set or set of sets. For illustration, 40 pens would cost 400 pounds ($1.01), or Rs. It's feasible that one nation will have complete control over the technique used to do this. Almost all living things have a unique characteristic. It can integrate and reciprocate in equal measure (mathematics, algebra).

Here,

Given :

Garry charges for one carrot for  :

=> 12/3

=> $ 4

Peter charges for one carrot :

=> 20/15

=>  4/3

=> $ 1.33

Therefore , the solution of the given problem of unitary method comes out to be $ 4 for garry  and $ 1.33 for peter.

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The statement that a rate is a type of ratio that has both terms expressed in different units is true.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

A rate is a type of ratio that has both terms expressed in different units.

This is true.

Example:

The unit rate of running a distance of 5 km in 4 hours.

Rate = 5km/4 hours

Unit rate = (5/4) km / 1 hour

Thus,

A rate is a type of ratio that has both terms expressed indifferent unit is true.

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Answer:

Step-by-step explanation:

Lets simplify this step by step

5(2x+2)+3x+6

Distribute:

=(5)(2x)+(5)(2)+3x+6

=10x+10+3x+6

Combine Like Terms:

=10x+10+3x+6

=(10x+3x)+(10+6)

=13x+16

13x+16

Answer:

A) 270

Step-by-step explanation:

Interest = principle x time x rate

Interest = 3000 x 2 x .045   4.5% = .045 as a decimal

Interest = 270

Reason:

Point C is located at (3,3)

Triple each coordinate since the scale factor is 3. That's how we go from (3,3) to (9,9)

If the scale factor was 5 for instance, then we'd go from (3,3) to (15,15)

This trick works only if the center of dilation is the origin.

Answer:

C' = (-3, 4)

Step-by-step explanation:

When a shape is dilated by a factor of 3, the size of the shape is multiplied by 3 in both the x and y directions. To find the new coordinates of point C' after a dilation by a factor of 3, we can multiply the original coordinates of point C by 3.

The original coordinates of point C are (-2, -10). When we multiply these coordinates by 3, we get (-6, -30) for the new coordinates of C' after the dilation. So the answer is (-6, -30)

The null hypothesis is true for an analysis of variance -MS (between) should be about the same size as MS within. Option (d) is the correct answer.

If the null is true, MS between and MS within should be about the same since they are both estimates of the same quantity (variance).

The null hypothesis is a characteristic arithmetic theory that suggests that no statistical relationship and significance exists in a set of given, single, observed variables between two sets of observed data and measured phenomena.

The null hypothesis in statistics defines that there is no difference between groups or no relationship between variables.

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The given function expressions is  24f + 14g

Given,

-3 × f (-8) + 7 × g(2)

= -3f (-8) + 7g (2)

Simplifying the above equation,

= -3f (-8) = 24f

= 7g (2) = 14g

Then we get,

= 24f + 14g

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Using PEDMAS the value of 1×(-0.3÷0.5-0.9) is -0.3

PEMDAS is an acronym for the words parenthesis, exponents, multiplication, division, addition, subtraction. Given two or more operations in a single expression, the order of the letters in PEMDAS tells you what to calculate first, second, third and so on, until the calculation is complete.

In the expression 1×(-0.3÷ -0.5-0.9) we solve what is in the parentheses first and we must follow the rules in the parentheses.

So we deal with the division first

1× ( 0.6-0.9)

1× -0.3 = -0.3

Therefore the value of the expression 1×(-0.3÷0.5-0.9) is -0.3.

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Answer:

[tex]\frac{19}{18}=1\frac{1}{18}[/tex]

Step-by-step explanation:

[tex]3\frac{1}{6}\div3=\frac{19}{6}\div3=\frac{19}{6}*\frac{1}{3}=\frac{19}{18}=1\frac{1}{18}[/tex]

The correct option is a. Bias from undercoverage, is best description of the term bias.

When you remove a portion of the population from your sample, undercoverage bias develops.

Undercoverage bias as well as nonresponse bias may appear to be identical, but they differ greatly.

For the stated question-

Roosevelt received support from lower-income voters and ultimately won with 62% of the vote, one of the biggest margins of victory in US presidential election history.

Thus, this clearly shows the bias from undercoverage.

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The complete question is-

Before the 1936 US presidential election, a popular poll predicted that Alfred Landon would comfortably win against Franklin D. Roosevelt. The poll randomly sampled people from sources like telephone and car registration records, but the country was in an economic crisis, so many voters without those luxuries were not included in the poll. Voters with lower incomes favored Roosevelt, who ultimately won with 62%, percent of the vote—one of the largest margins of victory ever in a US presidential election. Which type of bias does this scenario best describe?

a. Bias from undercoverage

b. Bias from using voluntary response

c. Response bias

d. Nonresponse bias

Answer:

[tex]y-4=-2(x-0)[/tex]

Step-by-step explanation:

We are given that a line has a slope (m) of -2, and contains the point (0,4).

We want to write the equation of the line in point-slope form.

Point-slope form is given as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point.

Since we are already given the slope, we can immediately plug it into the formula.

Substitute -2 as m.

[tex]y-y_1=-2(x-x_1)[/tex]

Now, let's label the values of our points to avoid confusion and mistakes.

[tex]x_1=0\\y_1=4\\[/tex]

Substitute into the formula.

[tex]y-4=-2(x-0)[/tex]

Topic: point-slope form

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the total area will be covered in the paint will be 2143.9cm²

What is cylinder?

Two parallel, identical bases connected by a curving surface form a 3D solid shape known as a cylinder. Similar to a disc in shape, these bases. The axis of the cylinder shape is a line drawn through the middle of, or connecting, two circular bases. Perpendicular distance is the measurement separating the two bases, and it is denoted by the letter "h," which stands for height. The distance between the two circular bases' centers and outer edges is known as the cylinder's radius and is denoted by the letter "r". A rectangle and two circles combine to form the cylinder.

A cylinder with base radius of 4 cm and a height of 7 cm is removed from the cuboid.

Volume of cuboid is = 16*15*24 = 5760 cm³

Volume of the cylinder = π r² h = π* 4² *7 = 351.85 cm³

So the surface area of the cylinder = 2π r h = 2*π*4*7 = 175.9 cm²

Total area of the cuboid = 2(240+360+384) = 1968

Toatl area = 1968+175.9 = 2143.9cm²

So the total area will be covered in the paint will be 2143.9cm²

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The statement about probability that is true is that the probability of landing on purple is equal to the probability of landing on yellow. That is option D

Probability is defined as the possible outcome of an event which may likely or unlikely occur.

The total number of sections with different colours = 8

Sections 1 and 8 are purple.

Sections 2 and 3 are yellow.

Sections 4, 5, and 6 are blue.

Section 7 is orange

The probability of landing on purple is equal to the probability of landing on yellow. That is;

probability of landing a purple = 2/8 = 1/4

Probability of landing a yellow = 2/8 = 1/4

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He must get at least 97% on the final examination to earn an A in the course.

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