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: __________%
Q. 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: __________%
Identify Investment Details: Identify the initial investment, the final amount after one year, and the interest earned.Initial investment (Principal, P) = $150Final amount after one year (A) = $159Interest earned (I) = Final amount - Initial investmentI=$159−$150I=$9
Use Simple Interest Formula: Use the formula for simple interest to find the rate.The formula for simple interest is I=P×r×t, where I is the interest earned, P is the principal amount, r is the rate of interest per year, and t is the time in years.Since we are looking for the rate (r) and the time (t) is 1 year, we can rearrange the formula to solve for r:r=P×tI
Calculate Interest Rate: Calculate the rate of interest per year.r=$(150×1)$9r=$150$9r=0.06
Convert Rate to Percentage: Convert the decimal rate to a percentage.To convert a decimal to a percentage, we multiply by 100.Rate of interest per year (r)=0.06×100r=6%