The problem you must solve is: Suppose you have two student loans: • $15,000 with an APR of 8% for 15 years $11,000 with an APR of 9.5% for 20 years 1. Calculate the monthly payment for each loan individually. 2. How much do you pay each month? How long do you have to pay that monthly amount? 3. Over the course of each loan, how much total do you pay? How much of that is interest? How much interest will you pay in total?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 56SE: To get the best loan rates available, the Riches want to save enough money to place 20% down on a...
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The problem you must solve is:
Suppose you have two student loans:
$15,000 with an APR of 8% for 15 years
$11,000 with an APR of 9.5% for 20 years
1. Calculate the monthly payment for each loan individually.
2. How much do you pay each month? How long do you have to pay that monthly
amount?
3. Over the course of each loan, how much total do you pay? How much of that is
interest? How much interest will you pay in total?
You have the opportunity to consolidate these 2 loans into a single loan with an APR of
7.9% and a term of 14 years.
1. What will be your monthly payment if you consolidate?
2. How does that payment compare with what you are paying on the two loans
individually? Does this result make sense to you? Why or why not?
3. What will your total payments be over the life of the loan? How much of that is
interest?
4. What are the pros and cons of doing this consolidation?
Transcribed Image Text:The problem you must solve is: Suppose you have two student loans: $15,000 with an APR of 8% for 15 years $11,000 with an APR of 9.5% for 20 years 1. Calculate the monthly payment for each loan individually. 2. How much do you pay each month? How long do you have to pay that monthly amount? 3. Over the course of each loan, how much total do you pay? How much of that is interest? How much interest will you pay in total? You have the opportunity to consolidate these 2 loans into a single loan with an APR of 7.9% and a term of 14 years. 1. What will be your monthly payment if you consolidate? 2. How does that payment compare with what you are paying on the two loans individually? Does this result make sense to you? Why or why not? 3. What will your total payments be over the life of the loan? How much of that is interest? 4. What are the pros and cons of doing this consolidation?
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