Value = 150*(1.09)3 = 150*1.295 = 194.25
$14,693.28
1 x (1.03)40 = 3.26
Principal amount 5,000 Interest rate 9 percent per year = 0.09 Continuous compounding Number of years 7 Future value = P e^rt Future value = (5000) e^(0.09)(7) Amount after 7 years = $9,388.05
$716.66 The formula is Principal times e to the rate times time power. Future Value = PeYr
What is the future value of $1,200 a year for 40 years at 8 percent interest? Assume annual compounding.
$14,693.28
Assuming interest is added at the end of the year, the future value is 13,710.59
Future value = 8400*(1 + 0.05*6) = 8400*(1.3) = 10,920 dollars.
1 x (1.03)40 = 3.26
Simple interest, 500 + (5 x 5 x 4) = 600. Compound 500 x 1.04^5 = 632.66
It depends how the interest is calculated. If it's compounded, your initial 500 investment would be worth 638.15 after 5 years.
Future value = 1000*(1.08)7 = 1713.82
$5,052.22
Principal amount 5,000 Interest rate 9 percent per year = 0.09 Continuous compounding Number of years 7 Future value = P e^rt Future value = (5000) e^(0.09)(7) Amount after 7 years = $9,388.05
$716.66 The formula is Principal times e to the rate times time power. Future Value = PeYr
The compound interest formula is FV = P(1+i)^n where FV = Future Value P = Principal i = interest rate per compounding period n = number of compounding periods. Here you will need to calculate i by dividing the nominal annual interest rate by the number of compounding periods per year (that is, i = 4%/12). Also, if the money is invested for 8 years and compounds each month, there will be 8*12 compounding periods. Just plug the numbers into the formula. You can do it!
What is the future value of $1,200 a year for 40 years at 8 percent interest? Assume annual compounding.