Luke received an inheritance of $15000 that he divided into three parts and invested in three ways: in a money-market (x) fund paying 4% annual interest;in municipal bonds (y) paying 3.5% annual interest; and in mutual funds (z) paying 8% annual interest. Luke invested twice in mutual funds than in money-market fund. He earned $845 in interest the first year. How much did Luke invest in each type of fund?

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Total principal invested = $15000

Investment x at 4% (0.04)

Investment y at 3.5% = 0.035

Investment z at 8% = 0.08

z investment = 2x

Total interest earned = $845

Simple interest = principal * rate * time

y * 0.035 + x * 0.04 + 2x * 0.08 = 845

0.035y + 0.2x = 845 - - - (1)

y + x + 2x = 15000

3x + y = 15000 - - - - (2)

y = 15000 - 3x

0.035(15000 - 3x) + 0.2x = 845

525 - 0.105x + 0.2x = 845

525 + 0.095x = 845

0.095x = 845 - 525

0.095x = 320

x = 320/0.095

x = 3368.42

Z = 2x

Z = 2 * 3368.42 = $6736.84

y = 15000 - 3(3368.42)

y = $4894.74


Related Questions

You can ignore a and b but can someone help me with c and d plz :)

Answers

Answer:

(below)

Step-by-step explanation:

c) the angles are in the interior on the same side of the transversal, making them supplementary

equation: 2x + 20 + 120=180 and then when solved you would get x =20

d) the angles are corresponding, which makes them congruent

equation: 3x + 10 = 100 and then when solved you would get x = 30

For C, the answer is x = 20. Explanation: the sum of the two angles is equal to 180 degrees, since they are across parallel lines. Plug the two angles into an equation that equals 180. You should have (2x + 20) + 120 = 180. Simplify the equation by subtracting 120 from both sides. You should now have 2x + 20 = 60. Subtract 20 from both sides. 2x = 40. Now simplify the equation by dividing both sides by 2, and you get your answer, x = 20. The answer for D is x = 30. Explanation: Since the angles are on the same side of parallel lines, they are equal. Plug the angles into an equal equation: 3x + 10 = 100. Subtract 10 from both sides to get 3x = 90. Now divide both sides by 3 to get your answer, x = 30.

Find the value of x.

Answers

Answer:

sdf

Step-by-step explanation:

sdff

For the first one, 132 and 4 + x make a straight line, and a straight line is 180 degrees, so:

132 + 4 + x = 180

Add 132 and 4.

136 + x = 180

Subtract 136.

x = 44

You are right!

For the second one, 68 + x + 9 form a right angle, and a right angle is 90 degrees, so:

68 + x + 9 = 90

Combine 68 and 9.

77 + x = 90

Subtract 77.

x = 13

Hope this helps

6. Complete la tabla con el número 4.956: Dígito Valor posicional Notación estándar Notación en potencia De esta forma el número 4.956 puede escribirse como: 7. Fernando tiene 12 cuadrados de cartulina y Catalina tiene 16. Si ambos disponen sus cuadrados uno aliado del otro, ¿cuál de los dos niños puede formar un cuadrado? 8. Escriba las siguientes cifras como notación científica. Número: Notación científica: 45000000 0,000000000000056 0,000000000034

Answers

Answer:

6. Miles  [tex]{}[/tex]     cientos       decenas      unidades

  4   [tex]{}[/tex]              9                5               6

7. Catalina podrá hacer un cuadrado con longitud lateral de 4 cartones

8. 45000000 = 4.5 × 10⁶

0.000000000000056 = 5.6 × 10¹⁴

0.000000000034 = 3.4 × 10¹¹

Step-by-step explanation:

6. Los valores posicionales de dígitos son;

Miles  [tex]{}[/tex]     cientos       decenas      unidades

4   [tex]{}[/tex]              9                5                   6

 

7. El número de cuadrados que tiene Fernando = 12

El número de cuadrados que tiene Catalina = 16

El largo y el ancho de un cuadrado son iguales, por lo tanto tenemos;

largo × ancho = Área del cuadrado

largo = ancho = lado del cuadrado

Lado del cuadrado × Lado del cuadrado = Área del cuadrado

(Lado del cuadrado) ² = Área del cuadrado

Lado del cuadrado = √ (Área del cuadrado)

Para Fernando, Área del cuadrado = 12

Lado del cuadrado para Fernando = √12 = 2 · √3 cartones

Para Catalina, Área del cuadrado = 16

Lado del cuadrado para Catalina = √16 = 4 cartones

Por tanto, Catalina podrá realizar un cuadrado con longitud lateral de 4 cartones

8. 45000000 = 4.5 × 10⁶

0.000000000000056 = 5.6 × 10¹⁴

0.000000000034 = 3.4 × 10¹¹

Which shows a set of three equivalent decimals?
1.9, 1.90, 1.900
1.9, 1.90, 1.090
1.9, 0.19 0.190
O 1.9, 1.09, 1.009

Answers

The best choice is A)

when you add a zero, it does not count on a decimal, so,

1.9, 1.90, 1.900.

Answer:

the answer is a

Step-by-step explanation:

What is the equation of the graphed line written in
standard form?
2x + 3y = -6
2x + 3y = 6
Y=-2/3x-2
Y=2/3x-2

Answers

We can see that the y-intercept of the line is [tex]-2[/tex] and its slope is [tex]-\frac{2}{3}\\[/tex] since to get from [tex](-3,0)[/tex] to [tex](0,-2)[/tex] we have to run by [tex]3[/tex] units to the right and rise by [tex]2[/tex] units down. The the equation of your line in slope-intercept form is [tex]y = -\frac{2}{3}x -2\\[/tex]. All we have to do now is to rewrite it in standard form.

[tex]y = -\frac{2}{3}x -2\\ 3(y) = (-\frac{2}{3}x -2)3 \\ 3y = -2x -6 \\ 2x +3y = -2x -6 +2x \\ 2x +3y = -6 [/tex]

Answer:

[tex]2x +3y = -6[/tex]

Write an expression that is equivalent to three over five (3y + 15). (4 points)

A three over five y + 9

B three over five y + 15

C nine over five y + 9

D nine over five y + 15
HELP ASAP

Answers

Answer:

The equivalent to three over five (3y + 15) is nine over five y + 9 ⇒ C

Step-by-step explanation:

Let us solve the question

∵ Three over five means [tex]\frac{3}{5}[/tex]

∴ Three over five (3y + 15) = [tex]\frac{3}{5}[/tex] (3y + 15)

→ By using the distributive property, multiply each term inside the

   bracket by three over 5

∴  [tex]\frac{3}{5}[/tex] (3y + 15) =  [tex]\frac{3}{5}[/tex] (3y) + [tex]\frac{3}{5}[/tex] (15)

→ Multiply three over five by 3y

∵  [tex]\frac{3}{5}[/tex] (3y) =  [tex]\frac{3(3)}{5}[/tex] (y) =  [tex]\frac{9}{5}[/tex] y

→ Multiply three over five by 15

∵  [tex]\frac{3}{5}[/tex] (15) =  [tex]\frac{3(15)}{5}[/tex] =  [tex]\frac{45}{5}[/tex] = 9

∴  [tex]\frac{3}{5}[/tex] (3y) + [tex]\frac{3}{5}[/tex] (15) = [tex]\frac{9}{5}[/tex] y + 9

∴ [tex]\frac{3}{5}[/tex] (3y + 15) =   [tex]\frac{9}{5}[/tex] y + 9

The equivalent to three over five (3y + 15) is  [tex]\frac{9}{5}[/tex] y + 9

c please give 4 stars :)

What is the opposite of negative 21 or -21

Answers

Answer:

21

Step-by-step explanation:

thats the opposite of negative 21

Answer:

positive 21

Step-by-step explanation:

the ratio of milk and water in a tank quantity 3:2 if molk is 600 gm the find tje quantity of water

Answers

Answer:

220 should be the answer.

Step-by-step explanation:

On a coordinate plane, a line goes through (1, negative 1) and (4, 2). A point is at (2, 5). What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2, 5)? y + 5 = x + 2 y − 2 = x − 5 y − 5 = −(x − 2) y + 2 = −(x + 5)

Answers

The equation is C. y − 5 = −(x − 2)

The line equation is y − 5 = −(x − 2), and the correct option is C.

What is the equation of a Straight Line?

The equation of a straight line is given by

y = mx +c

where m is the slope and c is the y-intercept.

The line goes through the points (1,  -1) and (4, 2),

The slope of the line will be

m = (y'-y)/(x'-x)

m = ( 2+1)/(4-1) = 1

The product of the slope of the line and the line perpendicular to it is -1

So, the slope of the line perpendicular to the given line is -1.

The line passes through the point (2,5)

The point-slope form is

(y-y') = m(x-x')

so, the equation will be

y − 5 = −(x − 2)

Therefore, the line equation is y − 5 = −(x − 2), and the correct option is C.

To know more about the Equation of Straight line

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what is the slope of this line?​

Answers

Answer:

slope is 1/4

Step-by-step explanation:

Use rise over run

The slope of the line will be equal to 1/4.


What is a slope?

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is the ratio of the rise to the run of the line.

The formula to calculate the slope of the line is given as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the line is passing through points ( 0,6) and (8,8). The slope of the line is calculated below,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = (8 - 6 ) / ( 8 - 0)

Slope = 2 / 8

Slope = 1 / 4

Therefore, the slope of the line will be equal to 1/4.

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I'm doing a worksheet about dividing fractions and I dont understand it. it's asking me to estimate and then write the quotient in simplest form. the problems are 1.) 1/2 ÷ 1/4. 2.) 4/5 ÷ 2/3. 3.) 14/15 ÷ 7. 4.) 8÷ 1/3. 5.) 12/21 ÷ 2/3. 6.) 5/6 ÷ 5/12. 7.) 5/8 ÷ 1/2.
can anyone help me?​

Answers

1. answer: 2

2. answer: 1 and 1/5

3. answer: 2/15

4. answer: 24

5. answer: 6/7

6. answer: 2

7. answer: 1 and 1/4

Explanation: Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes  _________.

For fraction multiplication, multiply the numerators and then multiply the denominators to get ______.

18 Which expression uses the greatest common factor and distributive property to write 18 + 24 as a product? ​

Answers

Answer:

48

Step-by-step explanation:

8

Simply the expression below .


8+ ( 15 - 3 ) + 4


help please .

Answers

8 + (15-3) + 4
8 + 12 + 4
20 + 4
24
your answer is 24

Answer:

24

Step-by-step explanation:

8+ ( 15 - 3 ) + 4

8+12+4

20+4

24

A taxi service charges $1.00 for the first mile then $0.10 for each additional mile after that. How much would you pay for having the taxi drive you 2 MILES?

Answers

$1.10this is because the first mile it’s 1 and every additional mile is .10. So just add 1 + .10

Answer:

$1.10

Step-by-step explanation:

In an equation, this would be written as follows (where y equals the total price and x is the number of miles driven):

[tex]y = 0.10(x-1) + 1.00[/tex]

Therefore:

[tex]y=0.10(2-1)+1.00[/tex]

[tex]y= 0.10(1)+1.00[/tex]

[tex]y=0.10+1.00[/tex]

[tex]y=1.10[/tex]

y = $1.10

Use the diagram below to find the measure of each angle. If you cannot see the
diagram below, it is also in your book on page 59. As you write your answer,
write the number and type the word degrees after.
A
E
B
С
50°
D
m m m

Answers

C dont know tell me if it helped

Find the unit rate: $23.96 for 4 pounds

Answers

Answer:

5.99 dollars per pound

Step-by-step explanation:

Convert to a decimal by dividing the numerator by the denominator.

What is the maximum number of student tickets that can

be sold if the drama club meets its sales goal?

40

The members of the drama club have 100 tickets to sell

to the school play. Students pay $5 per ticket, and

nonstudents pay $10 per ticket. The drama club needs

to collect at least $800 in total ticket sales. The system

of inequalities represents the number of student tickets,

s, and the number of nonstudent tickets, n, the members

must sell.

60

80

100

Suns 100

5s + 10n 2 800

Answers

Answer:

The Drama Club scan sell all 100 student tickets at max if they reach their goal of $800.

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

E2020

Maria receives a commission of 11.5% for each pair of shoes she sells. She earned $207 in commission last week. What was the dollar amount of shoes she sold?

Answers

The dollar amount of shoes she sold is $1800

Let the amount of the shoe sold e x

What is commission?

It is the amount earned on a product bought or sold.

If  she receives a commission of 11.5% for each pair of shoes she sells and earned $207, the amount earned is calculated using the formula:

11.5% of x = 207

0.115x = 207

Divide both sides by 0.115

x = 207/0.115

x = $1800

Hence the dollar amount of shoes she sold is $1800

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Sydney and Tom each count the number of steps it takes for them to walk to school. Sydney counts a 4-digit number of steps. The total of Sydney's steps and Tom's steps in also a 4-digit number of steps. What is the greatest possible digit in the thousands place for Sydney's steps or for Tom's steps? Explain.

Answers

Answer:

8

Step-by-step explanation:

Using the information provided we can say that the largest number of steps for either Sydney or Tom would be 8999 making the digit in the thousands place an 8. This is because both Sydney and Tom counted 4 digits meaning the lowest number for either of them is 1000 steps. Since the question also states that the combination/total of both their steps is still a 4 digit number, this means that the total must not exceed 9,999 steps. Therefore if the minimum is 1000 the maximum can only be 8,999 before going into the 5 digit number of steps.

A person can pay $6 for a membership to the art museum and then go to the museum for just $1 per visit. Write an equation that shows the relationship between the number of visits x and the total cost y. Write your answer as an equation with y first, followed by an equals sign.

Answers

Answer:

y = 6 + x

Step-by-step explanation:

Membership fee = $6

Fee per visit = $1

Let

x = number of visits

y = Total cost

Total cost = fixed cost + variable cost

Fixed cost = Membership fee = $6

Variable cost = Fee per visit × number of visits

= $1 * x

= $x

Total cost = fixed cost + variable cost

y = $6 + $x

y = 6 + x

25 POINTS what is the domain of the quadratic function graphed below?

a. all real numbers
b. x>=2
c. x>3
d. y=(0,8)

Answers

Answer:

A or D i tink

Step-by-step explanation:

becuz i tink b and c is not to me

Answer: (a) all real numbers

Step-by-step explanation:

The arrows mean that the line continues for infinity, so the x continues to change for infinity.

The admission fee to an amusement park is $18. It costs an additional c dollars to rent a locker to hold your belongings. The total cost for 2 people to enter the amusement park and each rent a locker is $46. How much does it cost for one person to rent a locker?

Answers

Answer:

$5 for one person to rent a locker

Step-by-step explanation:

Assuming the $18 is for one person, then two people it would be $36, since $18 + $18 = $36 and it's stated there's two people. If you subtract $36 from $46 you get $10, and since it's for two people you split it in half (so basically divide by 2) you get $5 for a locker.

Hope this helps!

if 12x+8 is less than 6,what is the value of 8x​

Answers

I think it’s 4 but not sure

Suppose scores on exams in statistics are normally distributed with an unknown population mean. A sample of 26 scores is given below. Use Excel to find a 90% confidence interval for the true mean of statistics exam scores. Round your answers to one decimal place and use increasing order.

Answers

Answer:

Step-by-step explanation:

Using the formula for calculating confidence interval

CI = xbar±z×S/√n

xbar is the mean of the sample

z is the z score at 90% = 1.645

S is the standard deviation of the score

n is the sample size = 26

Since we are not given the scores, we can assume the values of our mean and standard Deviation

Let xbar = 38

S = 3.0

Substitute the given values into the formula

CI = 38±(1.645×3.0/√26)

CI = 38±(1.645×3.0/5.099)

CI = 38±(1.645×0.5884)

CI = 38±0.9678

CI = (38-0.9678, 38+0.9678)

CI = (38.0322, 38.9678)

CI = (38.0, 38.9)

Hence the 90% confidence interval for the true mean of statistics exam scores is 38.0≤p≤38.9

Note that the we will need to generate the mean and standard deviation from the data but since we are not given the required data, we had to assume the value we used in calculation.

The price of a stove is s dollars. Pedro makes a 10% down payment for a two-year installment purchase. The monthly payment is m dollars. Express the finance charge algebraically.​

Answers

Answer:

0.2

Step-by-step explanation:

yall i need this answerd asap plz help

Answers

Answer:

B

Hope this helped ;)

The correct answer is option B, I would appreciate a brainliest thank you

Heeeeeeeeelp plssssssssss

Answers

Answer:

26 notches would be made.

Answer:

c) 26

Step-by-step explanation:

If I am understanding the question correctly it's just asking how many notches there will be on a certain length of metal and so in order to find it, you would just divide 6 1/2 by 1/4, also written as 6.5 divided by 0.25, to get 26.

6(2x+4) plzzzzzzz I need help

Answers

Answer:

12x+24

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Simplifying

6(2x + 4) = 0

Reorder the terms:

6(4 + 2x) = 0

(4 * 6 + 2x * 6) = 0

(24 + 12x) = 0

Solving

24 + 12x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-24' to each side of the equation.

24 + -24 + 12x = 0 + -24

Combine like terms: 24 + -24 = 0

0 + 12x = 0 + -24

12x = 0 + -24

Combine like terms: 0 + -24 = -24

12x = -24

Divide each side by '12'.

x = -2

Simplifying

x = -2

pls help easy middle school math

Answers

Answer:

Step-by-step explanation:

Question 2 is 3

Question 3 is 10^16

Question 4 is 1/3^5

Question 5 is r^m-n

Answer:

2. 2) x = 3

3. 3) 10^16

4. 2) 1/3^5

5. 1) R = m-n

Step-by-step explanation:

2 and 3 rules.  (A^n)^m = A mxn

4 rules. m + n then flip the fraction till it looks like 1/3^d

5 rules. r^m divided by r^n = R m-n

Best representation of 5 7/3

Answers

Answer:what it is

Step-by-step explanation:

Will be it’s improper fraction

22/3
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