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-Dominant- [34]
3 years ago
10

A donor gives $100,000 to a university, and specifies that it is to be used to give annual scholarships for the next 20 years. I

f the university can earn 4% interest, how much can they give in scholarships each year?
Mathematics
1 answer:
saul85 [17]3 years ago
5 0

9514 1404 393

Answer:

  $7,358

Step-by-step explanation:

Assuming the interest is compounded annually, the amortization formula is useful here.

  A = Pr/(1 -(1+r)^-t)

A is the annual scholarship, P is the principal invested at rate r for t years.

  A = $100,000(0.04)/(1 -1.04^-20) = $7,358.18

The university could give $7,358 in scholarships each year.

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Help please thank you
Ad libitum [116K]
In order for the triangle to be isosceles, we have to set two lengths of the triangle equal to each other. 

Let's take the lengths 5x-12 and x+20 and set them equal to each other. 

5x - 12 = x + 20 

Combine like terms by moving them over to their respective sides.

Subtract x from both sides of the equation. 

4x - 12 = 20 

Add 12 to both sides of the equation. 

4x = 32 

Divide both sides by 4. 

x = 8 

Check your answer by substituting. 

5x - 12 = x + 20

5(8) - 12 = 8 + 20

40 - 12 = 28 

28 = 28

Solution: x = 8 




5 0
3 years ago
Pls help ASAP I need help
bogdanovich [222]

Answer:

I believe your answer is D

sorry if im wrong

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What are the zeros of the function below? Check all that apply.
galina1969 [7]

Answer:

x = 3 or x = 2 or x = -1 or x = -5

Step-by-step explanation:

Solve for x:

((x - 3) (x - 2) (x + 1) (x + 5))/x = 0

Multiply both sides by x:

(x - 3) (x - 2) (x + 1) (x + 5) = 0

Split into four equations:

x - 3 = 0 or x - 2 = 0 or x + 1 = 0 or x + 5 = 0

Add 3 to both sides:

x = 3 or x - 2 = 0 or x + 1 = 0 or x + 5 = 0

Add 2 to both sides:

x = 3 or x = 2 or x + 1 = 0 or x + 5 = 0

Subtract 1 from both sides:

x = 3 or x = 2 or x = -1 or x + 5 = 0

Subtract 5 from both sides:

Answer:  x = 3 or x = 2 or x = -1 or x = -5

8 0
3 years ago
Read 2 more answers
The difference between 4 twenty fives and three twenty fives
-Dominant- [34]

Answer:

4 twenty fives is 100 and 3 twenty fives is 75

Step-by-step explanation:

Hope this help:)

7 0
3 years ago
What is the 32nd term of the arithmetic sequence where a1 = –33 and a9 = –121?
Aleksandr-060686 [28]
a_1=-33;\ a_9=-121\\\\a_9-a_1=8d\\\\8d=-121-(-33)\\8d=-121+33\\8d=-88\ \ \ \ |divide\ both\ sides\ by\ 8\\d=-11\\\\a_{32}=a_1+31d\\\\a_{32}=-33+31\cdot(-11)=-33-341=-374\\\\Answer:\boxed{a_{32}=-374}
8 0
3 years ago
Read 2 more answers
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