Malik invests money in an account paying simple interest. He invests $30 and no money is added or removed from the investment. After one year, he has $30.30. What is the simple percent interest per year?Answer: ______%
Q. Malik invests money in an account paying simple interest. He invests $30 and no money is added or removed from the investment. After one year, he has $30.30. What is the simple percent interest per year?Answer: ______%
Identify Investment, Amount, Interest: Identify the initial investment, the final amount after one year, and the interest earned.Initial investment (Principal, P) = $30Final amount after one year (A) = $30.30Interest earned (I) = Final amount - Initial investmentI=$30.30−$30I=$0.30
Use Simple Interest Formula: Use the formula for simple interest to find the rate.The formula for simple interest is I=PRT, where I is the interest earned, P is the principal amount, R is the rate of interest per year, and T is the time in years.We know I=$0.30, P=$30, and T=1 year. We need to find R.Rearrange the formula to solve for R:I0
Substitute Values, Solve for Rate: Substitute the known values into the formula and solve for R. R=(extextdollar30∗1 year)extextdollar0.30R=extextdollar30extextdollar0.30R=0.01To express R as a percentage, we multiply by 100.R=0.01∗100R=1%