20
QuizMultiple Choice

Personal Savings and Consumer Credit: Part Two — Test

Question 20 • Advanced Financial Algebra

Laura has two loan options for $⁢5,000 : a simple interest loan at 4% annually and a compound interest loan at 3.5% annually, compounded annually for 2 years. Which loan will be less expensive in terms of total interest paid? Compound Interest Formula: A=P⁢(1+(r)/(n))^n⁢t Simple Interest Formula: A=P⁢(1+r⁢t)

Answer
A
Simple Interest Loan
B
More information is needed to decide
C
Compound Interest Loan
D
Both loans will cost the same

Explanation

The simple-interest loan costs $5,000 × 0.04 × 2 = $400 in interest. For the compound loan, the interest is $5,000 × (1.035)² − $5,000 = $356.13 (approximately). Since $356.13 is less than $400, the Compound Interest Loan is less expensive.

AI-written and checked against the verified answer.

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