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Adriel invests money in an account paying simple interest. He invests 
$150 and no money is added or removed from the investment. After one year, he has 
$159. What is the simple percent interest per year?
Answer: 
%

Adriel invests money in an account paying simple interest. He invests $150 \$ 150 and no money is added or removed from the investment. After one year, he has $159 \$ 159 . What is the simple percent interest per year?\newlineAnswer: __________% \%

Full solution

Q. Adriel invests money in an account paying simple interest. He invests $150 \$ 150 and no money is added or removed from the investment. After one year, he has $159 \$ 159 . What is the simple percent interest per year?\newlineAnswer: __________% \%
  1. Identify Investment Details: Identify the initial investment, the final amount after one year, and the interest earned.\newlineInitial investment (Principal, PP) = $150\$150\newlineFinal amount after one year (AA) = $159\$159\newlineInterest earned (II) = Final amount - Initial investment\newlineI=$159$150I = \$159 - \$150\newlineI=$9I = \$9
  2. Use Simple Interest Formula: Use the formula for simple interest to find the rate.\newlineThe formula for simple interest is I=P×r×tI = P \times r \times t, where II is the interest earned, PP is the principal amount, rr is the rate of interest per year, and tt is the time in years.\newlineSince we are looking for the rate (rr) and the time (tt) is 11 year, we can rearrange the formula to solve for rr:\newliner=IP×tr = \frac{I}{P \times t}
  3. Calculate Interest Rate: Calculate the rate of interest per year.\newliner=$9$(150×1)r = \frac{\$9}{\$(150 \times 1)}\newliner=$9$150r = \frac{\$9}{\$150}\newliner=0.06r = 0.06
  4. Convert Rate to Percentage: Convert the decimal rate to a percentage.\newlineTo convert a decimal to a percentage, we multiply by 100100.\newlineRate of interest per year (r)=0.06×100(r) = 0.06 \times 100\newliner=6%r = 6\%

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