15. Determine the future value of $4,000 deposited into an ordinary
annuity after each quarter for 3 years at 6% interest compounded
quarterly. (Lesson 5.8)

Respuesta :

Answer:

The future value of investment at 6 % compounded quarterly is                $ 4782.472  

Step-by-step explanation:

Given as :

The principal amount = $ 4000

The rate of interest compounded quarterly = 6 %

The time period = 3 years

Let The future amount = A

From Compounded method

Amount = Principal × [tex](1+\dfrac{\textrm rate}{4\times 100})^{4\times \textrm time}[/tex]

Or, Amount = 4000 × [tex](1+\dfrac{\textrm 6}{4\times 100})^{4\times \textrm 3}[/tex]

Or, Amount = 4000 × [tex](1.015)^{12}[/tex]

Or, Amount = 4000 × 1.195618

∴ Amount = $ 4782.472

Hence The future value of investment at 6 % compounded quarterly is  $ 4782.472  Answer