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quester [9]
4 years ago
11

12. Yvette is considering a 7/23 balloon mortgage with an interest rate of 4.75%

Mathematics
1 answer:
Anon25 [30]4 years ago
8 0

Answer:

$117,783.05

Step-by-step explanation:

Looking at the above question,

Step 1

Calculate the number of monthly payments for 7 years.

The formula we would be using is given as:

Monthly payment = [Loan amount × (rate/number of year)] ÷ [1 - (1 +r/n)^nt)]

Loan amount =$146,000

Rate = 4.75% = 0.0475

n = number of payments = 12

t= number of years = 23

Monthly payment = [ 146,000× (0.0475/12)] ÷ [1 - (1 +0.0475/12)^-276)]

Monthly payment = $870.49

Step 2

Calculate the amount left after 7 years using the formula

Ballon payment after 7 years = Loan amount ( 1 + r)ⁿ - P[(1 +r)ⁿ - 1 /r]

r = 4.75% for 12 years

= 146,000( 1 + 0.0475/12)^84 - 870.49[((1 + 0.0475/12)^84 - 1)/0.0475/12]

= $117,783.05

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total costs then will just be C(x) = 200x + 1000.

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