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:________ %
Q. 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:________ %
Identify principal, total amount, interest: Identify the principal, the total amount after one year, and the interest earned.The principal (initial investment) is $150. After one year, the total amount is $156. The interest earned is the total amount after one year minus the principal.Interest = Total amount after one year - PrincipalInterest = $156−$150Interest = $6
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, P is the principal, R is the rate, and T is the time in years. We need to solve for R (the rate).We know that I=$6, P=$150, and T=1 year. Plugging these values into the formula gives us:$6=$150×R×1
Solve for rate: Solve for R (the rate).To find R, we divide both sides of the equation by $150:R=$150$6R=0.04
Convert rate to percentage: Convert the decimal rate to a percentage.To convert a decimal to a percentage, we multiply by 100.Rate as a percentage = R×100Rate as a percentage = 0.04×100Rate as a percentage = 4%
More problems from Percent of change: word problems