ACT Math · Ratios, rates, and percents

A $2,000 loan has 5% simple annual interest. What is the total amount owed after 2 years?

A $2,000 loan has 5% simple annual interest. What is the total amount owed after 2 years?

Answer and explanation

Answer: H: $2,200

Simple interest is I=Prt=2000(0.05)(2)=200I=Prt=2000(0.05)(2)=200 dollars. The total owed is the principal plus the interest: 2000+200=22002000+200=2200 dollars, choice H. Choice G ($2,100) is the amount after only one year. Choice F ($2,050) is one year's interest on a smaller base. Choice J ($2,205) uses compound interest, 2000(1.05)22000(1.05)^2, in which the second year's interest is earned on the first year's interest as well. The problem says simple interest, so the interest is the same every year.

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