Question 2 Jack borrows $200000 from the bank and agrees to repay the loan in equal monthly instalments of $1650 at the end of each month over 26 years and 9 months. The interest rate charged is 9% p.a. compounded monthly. (a) Calculate the amount of money he owes on the first day of the second month. (b) Let B₁, be the amount he owes at the end of n months (after the nº repayment is made). Show that n B₁ = $220000-$20000×1.0075". n (c) On the first day of the eighth year (after the last repayment for the previous year has been made), he decides to increase his monthly repayment by 0.25% each month for a period of 3 months. How much will he owe at the end of this period?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question 2
Jack borrows $200000 from the bank and agrees to repay the loan in equal monthly instalments of $1650 at
the end of each month over 26 years and 9 months. The interest rate charged is 9% p.a. compounded
monthly.
(a) Calculate the amount of money he owes on the first day of the second month.
(b) Let B₁, be the amount he owes at the end of n months (after the nº repayment is made). Show that
n
B₁ = $220000-$20000×1.0075".
n
(c) On the first day of the eighth year (after the last repayment for the previous year has been made), he
decides to increase his monthly repayment by 0.25% each month for a period of 3 months. How much
will he owe at the end of this period?
Transcribed Image Text:Question 2 Jack borrows $200000 from the bank and agrees to repay the loan in equal monthly instalments of $1650 at the end of each month over 26 years and 9 months. The interest rate charged is 9% p.a. compounded monthly. (a) Calculate the amount of money he owes on the first day of the second month. (b) Let B₁, be the amount he owes at the end of n months (after the nº repayment is made). Show that n B₁ = $220000-$20000×1.0075". n (c) On the first day of the eighth year (after the last repayment for the previous year has been made), he decides to increase his monthly repayment by 0.25% each month for a period of 3 months. How much will he owe at the end of this period?
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