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Assume you begin saving $25/month beginning today in an account that has a 2.75% APR for 25 years.

Respuesta :

Answer:

The amount in account after 5 years at 2.75 APR is $ 8589.525  

Step-by-step explanation:

Given as :

The amount save in the account per months = $ 25

The time period of saving = 25 years = 25 × 12 = 300 months

So, Amount saved in account for 300 months = $ 25 × 300 = $ 7500

The annual percentage rate = 2.75 %

From Compounded method

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

So, Amount = $ 7500 × [tex](1+\frac{\testrm 2.75}{100})^{\textrm 5}[/tex]

Or, Amount = $ 7500 × [tex](1.0275)^{5}[/tex]

or, Amount = $ 7500 × 1.14527

∴  Amount = $ 8589.525

Hence The amount in account after 5 years at 2.75 APR is $ 8589.525  Answer