The following table shows annual rates for various types of loans in 2015. Assume monthly payments and compounding periods. HINT [See Examples 5 and 7.] Loan 30-Year 15-Year 5-Year 4-Year Credit Type Mortgage Mortgage Car Loan Car Loan Cards October 3.93 3.14 4.30 4.24 13.10 Rate (%) November 4.09 3.31 4.31 4.26 13.10 Rate (%) December 4.09 3.34 4.34 4.29 13.10 Rate (%) You currently owe $7000 on your credit card, which charges interest at the October 2015 rate. What is the least you need to pay per month to pay off the card in 11 years? (Round your answer to the nearest cent.)

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Chapter1: Functions And Models
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The following table shows annual rates for various types of loans in 2015. Assume monthly payments and compounding
periods. HINT [See Examples 5 and 7.]
Loan
30-Year
15-Year
5-Year
4-Year
Credit
Type Mortgage Mortgage Car Loan Car Loan Cards
October
3.93
3.14
4.30
4.24
13.10
Rate (%)
November
4.09
3.31
4.31
4.26
13.10
Rate (%)
December
4.09
3.34
4.34
4.29
13.10
Rate (%)
You currently owe $7000 on your credit card, which charges interest at the October 2015 rate. What is the least you need to
pay per month to pay off the card in 11 years? (Round your answer to the nearest cent.)
Transcribed Image Text:The following table shows annual rates for various types of loans in 2015. Assume monthly payments and compounding periods. HINT [See Examples 5 and 7.] Loan 30-Year 15-Year 5-Year 4-Year Credit Type Mortgage Mortgage Car Loan Car Loan Cards October 3.93 3.14 4.30 4.24 13.10 Rate (%) November 4.09 3.31 4.31 4.26 13.10 Rate (%) December 4.09 3.34 4.34 4.29 13.10 Rate (%) You currently owe $7000 on your credit card, which charges interest at the October 2015 rate. What is the least you need to pay per month to pay off the card in 11 years? (Round your answer to the nearest cent.)
Expert Solution
Step 1

To find:

The monthly amount to pay off the card in 11 years.

Given:

The principle amount $7000, rate of interest 13.10=0.131%, time is 11 years. 

Formula used:

The monthly payment can be obtained by the given formula:

MP=rpn1-1+rn-nt

Where P is principle amount, r is interest rate, t is time and n is compounded monthly.

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