13. A recent college graduate borrows $100,000 at an interest rate of 9% to purchase a condominium. Anticipating steady salary increases, the buyer expects to make payments at a monthly rate of 800(1+t/120), where t is the number of months since the loan was made. (a) Assuming that this payment schedule can be maintained, when will the loan be fully paid? (b) Assuming the same payment schedule, how large a loan could be paid off in exactly 20 years?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section8.4: Mathematics Of Finance
Problem 2E
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13. A recent college graduate borrows $100,000 at an interest rate of 9% to purchase a
condominium. Anticipating steady salary increases, the buyer expects to make payments at a
monthly rate of 800(1+t/120), where t is the number of months since the loan was made.
(a) Assuming that this payment schedule can be maintained, when will the loan be fully paid?
(b) Assuming the same payment schedule, how large a loan could be paid off in exactly 20 years?
Transcribed Image Text:13. A recent college graduate borrows $100,000 at an interest rate of 9% to purchase a condominium. Anticipating steady salary increases, the buyer expects to make payments at a monthly rate of 800(1+t/120), where t is the number of months since the loan was made. (a) Assuming that this payment schedule can be maintained, when will the loan be fully paid? (b) Assuming the same payment schedule, how large a loan could be paid off in exactly 20 years?
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