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Question
- kaylee obtains a loan with simple interest to buy a car that costs $9,500. if kaylee pays $1,020 in interest during the four - year term of the loan, what was the rate of simple interest?
Step1: Recall simple interest formula
The simple interest formula is $I = P \times r \times t$, where $I$ is interest, $P$ is principal, $r$ is annual interest rate, $t$ is time in years.
Step2: Identify given values
$I = \$1020$, $P = \$8500$, $t = 4$ years
Step3: Rearrange formula to solve for $r$
$r = \frac{I}{P \times t}$
Step4: Substitute values and calculate
$r = \frac{1020}{8500 \times 4} = \frac{1020}{34000} = 0.03$
Step5: Convert to percentage
$r = 0.03 \times 100\% = 3\%$
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The annual simple interest rate is 3%