Math Problem Statement
Payday loans (also called cash advance loans) are short-term, high-interest loans marketed as a way for people to borrow money for a short period of time until their paycheck arrives. However, like many other short-term loans, they should be used with extreme caution. Payday loans typically carry a fixed fee of $15 to $30 per $100 borrowed, and lenders sometimes demand access to your checking account to make sure you will pay the fees. Complete parts (a) through (c) below. Question content area bottom Part 1 a. Consider a payday loan that has a fixed fee of $16 per $100 borrowed that is due in 2 weeks (when your paycheck arrives). If you borrow $300, what is the total fee (not including your $300 principal) you owe the lender at the end of 2 weeks? $ enter your response here (Round to the nearest cent as needed.) Part 2 b. What is the interest rate for that 2-week period? enter your response here% (Round to the nearest whole number as needed.) Part 3 c. What is the equivalent annual percentage rate (APR) for this loan? (Assume that there are 52 weeks in 1 year). How does this rate compare to other common types of loans, such as credit cards or mortgages? The pay-day loan has an APR of enter your response here%. This is ▼ comparable much lower a little lower much higher a little higher than other common types of loans. (Type an integer or a decimal.)
Solution
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Math Problem Analysis
Mathematical Concepts
Simple Interest
Percentage
Annual Percentage Rate (APR)
Formulas
Total fee = (Amount borrowed / 100) × Fee per $100
Interest Rate = (Total Fee / Principal) × 100
APR = (Interest Rate × Number of 2-week periods in a year)
Theorems
-
Suitable Grade Level
Grades 10-12
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