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Jacinda Herschel wants to buy a car and determines she can afford to pay $365.15 a month for a 4-year loan. The rate on her loan would be 4.65%. How much can Jacinda borrow?

Sagot :

Jacinda Herschel wants to buy a car this amount $15965.57 can borrow.

What is loan?

An amount of money borrowed by a person or business from a business, financial institution, or government is known as a loan.

Jacinda Herschel monthly saving (M) = $365.15

Term = 4 years loan

Interest rate = 4.65% or 0.0465

Number of months (n) = 4 years x 12

Calculation of number of month is = 48

Monthly interest rate (r) = 0.0465/12 = 0.003875

Loan amount formula as = [tex]M/r [1-(1 + r)^{-n}[/tex]

= [tex]$365.15/0.003875 [1-(1 + 0.003875)^{-48}[/tex]

[tex]= $365.15/0.003875 x (1-(1.003875)^{-48})[/tex]

= $365.15/0.003875 x [1 – 0.83057208775233]

= $365.15/0.003875 (0.16942791224767)

= $15965.57

As a result, $15965.57 is correct.

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