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san4es73 [151]
3 years ago
15

Cynthia has the choice of taking out a 25-year loan for $155,000 at 4.4% interest, compounded monthly, or the same loan at 20 ye

ars for a higher monthly payment. If she would pay a total of $100,831 in interest on the 25- year loan, how much in total would she pay in interest on the 20-year loan?
Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
3 0

Answer: Less than $100,831

Step-by-step explanation:

There is an equation for the calculation monthly payment which is:

x = p × r × (1+r)^n / (1+r)^n - 1

where,

p= the amount of loan, which is $155,000.

r = monthly interest rate, which is (4.4/12)/100 = 0.00367

n = number of months for paying back, which is 20 × 12 = 240

Since we have all the values, we plug them in and solve.

x = 155,000 × 0.00367 × (1.00367^240) / (1.00367^240) - 1

x = $972.27

Therefore, the monthly payment is approximately $972.3. We csn now multiply it by the number of months in order to get total payment:

$973.3 × 240 = $233,352

Therefore, the total amount, which is the loan plus the interest, will be 233,352 dollars.

To find the amount of interest, we subtract the loan from total amount:

= $233,352 - $155,000

= $78,352

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(HELP FAST )What is the solution to this system of equations? *
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Step-by-step explanation:

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2 years ago
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2 years ago
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F(x)=2x^3+ax^2-37x-60<br><br> The binomial x-4 is a factor of f(x). Find the value of a.
jekas [21]

Given:

The function is

f(x)=2x^3+ax^2-37x-60

The binomial x-4 is a factor of f(x).

To find:

The value of a.

Solution:

If x-c is a factor of f(x), then f(c)=0.

It is given that, x-4 is a factor of f(x), then f(4)=0.

We have,

f(x)=2x^3+ax^2-37x-60

Substituting x=4, we get

f(4)=2(4)^3+a(4)^2-37(4)-60

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Therefore, the value of a is 5.

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2 years ago
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