A person borrows $3.000 on a bank credit card at a nominal rate of 18% per year, which is actually charged at a rate of 1.5% per month. (a) What is the annual percentage yield (APY) for the card? (Round your answer to one decimal place.) (b) Assume that the person does not place any additional charges on the card and pays the bank $150 each month to pay off the loan. Let B, be the balance owed on the card after a months. Find an explicit formula for 8 (c) How many months will be required to pay off the debt? (Round your answer up to the nearest whole number.) months (d) What is the total amount of money the person will have paid for the loan?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter7: Percents
Section7.7: Simple And Compound Interest
Problem 1E
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A person borrows $3,000 on a bank credit card at a nominal rate of 18% per year, which is actually charged at a rate of 1.5% per month.
(a) What is the annual percentage yield (APY) for the card? (Round your answer to one decimal place.)
%
(b) Assume that the person does not place any additional charges on the card and pays the bank $150 each month to pay off the loan. Let B, be the balance owed on the card after n months. Find an explicit formula for B.
(c) How many months will be required to pay off the debt? (Round your answer up to the nearest whole number.)
months
(d) What is the total amount of money the person will have paid for the loan?
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Transcribed Image Text:A person borrows $3,000 on a bank credit card at a nominal rate of 18% per year, which is actually charged at a rate of 1.5% per month. (a) What is the annual percentage yield (APY) for the card? (Round your answer to one decimal place.) % (b) Assume that the person does not place any additional charges on the card and pays the bank $150 each month to pay off the loan. Let B, be the balance owed on the card after n months. Find an explicit formula for B. (c) How many months will be required to pay off the debt? (Round your answer up to the nearest whole number.) months (d) What is the total amount of money the person will have paid for the loan? Need Help? Read It
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