**Problem 4: Borrowing Options for Bethany** Bethany determines she needs to borrow $10,000 to complete her Bachelor's degree. She can choose between two borrowing options: 1. Borrow the money at 5.5% simple interest for 4 years. 2. Borrow the money at 5% interest compounded continuously for 4 years. **Questions:** a. How much total interest would Bethany pay at 5.5% simple interest? Show all work. b. How much total interest would Bethany pay at 5% interest compounded continuously? Show all work. c. Which option results in less total interest being paid?

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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**Problem 4: Borrowing Options for Bethany**

Bethany determines she needs to borrow $10,000 to complete her Bachelor's degree. She can choose between two borrowing options:

1. Borrow the money at 5.5% simple interest for 4 years.
2. Borrow the money at 5% interest compounded continuously for 4 years.

**Questions:**

a. How much total interest would Bethany pay at 5.5% simple interest? Show all work.

b. How much total interest would Bethany pay at 5% interest compounded continuously? Show all work.

c. Which option results in less total interest being paid?
Transcribed Image Text:**Problem 4: Borrowing Options for Bethany** Bethany determines she needs to borrow $10,000 to complete her Bachelor's degree. She can choose between two borrowing options: 1. Borrow the money at 5.5% simple interest for 4 years. 2. Borrow the money at 5% interest compounded continuously for 4 years. **Questions:** a. How much total interest would Bethany pay at 5.5% simple interest? Show all work. b. How much total interest would Bethany pay at 5% interest compounded continuously? Show all work. c. Which option results in less total interest being paid?
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