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Ann [662]
3 years ago
7

Determine the present value P you must invest to have the future value A at simple intrest rate r after time t. A=$14,000, r=9.5

%, t =4 years​
Mathematics
1 answer:
Ivan3 years ago
3 0

Answer:

$10,144.93

Step-by-step explanation:

Amount formula; A = (Principal* rate* time) +Principal

A= (P*r*t) +P

A= 14,000

r= 9.5% OR 0.095 as a decimal

t= 4

Plug the numbers into the formula;

14,000 = (P* 0.095 *4 ) +P

14,000 = 0.38P +P

14,000 = 1.38P

Divide both sides by 1.38 to solve for P;

14,000/1.38 = P

P= 10,144.9275

Therefore, the present value (Principal) = $10,144.93

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Answer:

\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4

Step-by-step explanation:

Given

Dividend = 125x^3 - 8

Divisor = 5x - 2

Required

Determine the quotient

See attachment for complete process.

First, divide 125x^3 by 5x

\frac{125x^3}{5x} =25x^2

Write 25x^2 at the top

Multiply 5x - 2 by 25x^2

= 125x^3 - 50x^2

Subtract from 125x^3 - 8

i.e.

125x^3 - 8 - (125x^3 - 50x^2) = 50x^2 - 8

Step 2:

Divide 50x^2 by 5x

\frac{50x^2}{5x} = 10x

Write 10x at the top

Multiply 5x - 2 by 10x

= 50x^2 - 20x

Subtract from 50x^2 - 8

i.e.

50x^2 - 8 - (50x^2 - 20x) = 20x - 8

Step 3:

Divide 20x by 5x

\frac{20x}{5x} = 4

Write 4 at the top

Multiply 5x - 2 by 4

= 20x - 8

Subtract from 20x - 8

i.e.

20x - 8 - (20x - 8) = 0

Hence:

\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4

8 0
3 years ago
A trapezoid has a height of 10 centimeters. One parallel base has a length of 7 centimeters, and the other parallel base has a l
Papessa [141]

Answer:

I couldn't see the picture it is black

Step-by-step explanation:

the formula for the area of a trapezoid is:

\frac{b1+b2}{2} h

insert 7 for b1, 13 for b2, and 10 for h

\frac{7+13}{2} 10

100

Hope that helps

8 0
2 years ago
Solve the equation. 4x2 – 8 = 56<br><br><br> 2, –2<br> 16, –16<br> 8, –8<br> 4, –4
Marta_Voda [28]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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The length of a rectangle is two more than two times its width. The perimeter of the rectang
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a

Step-by-step explanation:

8 0
3 years ago
If a loan option had been available for your food truck for the $50,000 at 4% interest for 6 years instead of 4 would you have t
stira [4]

Answer:

It depends.

Step-by-step explanation:

For 6 years:

50000*(1.04)^6=\$63266

On average, you would have to be profiting:

\frac{63266}{6}=\$10544 per year

For 4 years:

50000*(1.04)^4=\$58492

On average, you would have to be profiting:

\frac{58492}{4} = \$14623 per year.

It would be better to have the longer term option - although you will be paying off more in total, you would be paying off a smaller portion of your earnings.

However, you may want to pay off the loan faster as you would no longer have to worry about it, and it would be cheaper to pay off over the shorter period.

6 0
3 years ago
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