Q:

Marcus receives an inheritance of 6,000 he decides to invest the money in a 14-year certificate of deposit that pays 6.5% interest compounded monthly. How much money will Marcus receive when he redeems the CD at the end of the 14 years?

Accepted Solution

A:
Marcus will receive $14869.38  at the end of the 14 yearsStep-by-step explanation:The rule of the future value of the compound interest is:[tex]FV=P(1+\frac{r}{n})^{nt}[/tex], where1. P is the invested money2. r is the rate of interest in decimal3. n is the period of compound interest4. t is the timeMarcus receives an inheritance of 6,000 he decides to invest the money in a 14-year certificate of deposit that pays 6.5% interest compounded monthlyWe need to find how much money Marcus will receive at the end ofthe 14 years∵ P = $6000∵ r = 6.5% = 6.5/100 = 0.065∵ n = 12 ⇒ compounded monthly∵ t = 14 Substitute these values in the rule above∴ [tex]FV=6000(1+\frac{0.065}{12})^{(12)(14)}[/tex]∴ FV = $14869.38 Marcus will receive $14869.38  at the end of the 14 yearsLearn more;You can learn more about compound interest in brainly.com/question/4361464#LearnwithBrainly