Respuesta :

Answer:

The sum of money that will grow in 6 years at 6% is $ 2864.08

Step-by-step explanation:

Given as :

The principal amount = $ 2000

The time period = 6 years

The rate of interest compounded monthly = 6 %

Let The amount after 6  years = A

From compounded method

Amount = Principal × [tex](1+\frac{\textrm Rate}{12\times 100})^{12\times Time}[/tex]

Or, A = $ 2000  × [tex](1+\frac{\textrm 6}{12\times 100})^{12\times 6}[/tex]

Or, A =  $ 2000  × [tex](1.005)^{72}[/tex]

Or, A = $ 2000  × 1.43204

∴   A = $ 2864.08

Hence The sum of money that will grow in 6 years at 6% is $ 2864.08 Answer