There is a relationship between mortgage amount, number of payments, amount of each payment, how often each payment is made, and the interest rate. The following formula illustrates the relationship: PV= R[1-(1+i)"] i • PV = present value ⚫ i = interest rate per compounding period, as a decimal R = payment amount • n = number of payments Suppose a bank offers you a 3.4% interest rate, compounded semi-annually, on a mortgage amount of $173 112. You pay $1000/mo, or $6000 semi-annually. How long, in years, would it take to pay off the mortgage? a. 80 years b. 60 years c. 20 years od. 40 years e. 10 years A X

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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There is a relationship between mortgage amount, number of payments, amount of each payment, how often each
payment is made, and the interest rate. The following formula illustrates the relationship:
PV=
R[1-(1+i)"]
i
•
PV = present value
⚫ i = interest rate per compounding period, as a decimal
R = payment amount
• n = number of payments
Suppose a bank offers you a 3.4% interest rate, compounded semi-annually, on a mortgage amount of $173 112.
You pay $1000/mo, or $6000 semi-annually. How long, in years, would it take to pay off the mortgage?
a. 80 years
b. 60 years
c. 20 years
od. 40 years
e. 10 years
A
X
Transcribed Image Text:There is a relationship between mortgage amount, number of payments, amount of each payment, how often each payment is made, and the interest rate. The following formula illustrates the relationship: PV= R[1-(1+i)"] i • PV = present value ⚫ i = interest rate per compounding period, as a decimal R = payment amount • n = number of payments Suppose a bank offers you a 3.4% interest rate, compounded semi-annually, on a mortgage amount of $173 112. You pay $1000/mo, or $6000 semi-annually. How long, in years, would it take to pay off the mortgage? a. 80 years b. 60 years c. 20 years od. 40 years e. 10 years A X
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