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Cooper 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 
$156. What is the simple percent interest per year?
Answer: 
%

Cooper 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 $156 \$ 156 . What is the simple percent interest per year?\newlineAnswer:________ % \%

Full solution

Q. Cooper 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 $156 \$ 156 . What is the simple percent interest per year?\newlineAnswer:________ % \%
  1. Identify principal, total amount, interest: Identify the principal, the total amount after one year, and the interest earned.\newlineThe principal (initial investment) is $150\$150. After one year, the total amount is $156\$156. The interest earned is the total amount after one year minus the principal.\newlineInterest = Total amount after one year - Principal\newlineInterest = $156$150\$156 - \$150\newlineInterest = $6\$6
  2. Use simple interest formula: Use the formula for simple interest to find the rate.\newlineThe formula for simple interest is I=PRTI = PRT, where II is the interest, PP is the principal, RR is the rate, and TT is the time in years. We need to solve for RR (the rate).\newlineWe know that I=$6I = \$6, P=$150P = \$150, and T=1T = 1 year. Plugging these values into the formula gives us:\newline$6=$150×R×1\$6 = \$150 \times R \times 1
  3. Solve for rate: Solve for R (the rate).\newlineTo find R, we divide both sides of the equation by $150\$150:\newlineR=$6$150R = \frac{\$6}{\$150}\newlineR=0.04R = 0.04
  4. Convert rate to percentage: Convert the decimal rate to a percentage.\newlineTo convert a decimal to a percentage, we multiply by 100100.\newlineRate as a percentage = R×100R \times 100\newlineRate as a percentage = 0.04×1000.04 \times 100\newlineRate as a percentage = 4%4\%

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