Answer:
The final amount in the account after 6 years at compound interest is $1568.78 .
Step-by-step explanation:
Given as :
The principal amount in account = p = $1500
The rate of compound interest = r = 0.75 %
The time period of the loan = t = 6 years
Let The Amount in account after 6 years = $A
From Compound Interest method
Amount = Principal × [tex](1+\dfrac{\textrm rate}{100})^{\textrm time}[/tex]
I.e A = p × [tex](1+\dfrac{\textrm r}{100})^{\textrm t}[/tex]
Or, A = $1500 × [tex](1+\dfrac{\textrm 0.75}{100})^{\textrm 6}[/tex]
Or, A = $1500 × [tex](1.0075)^{6}[/tex]
Or, A = $1500 × 1.04585
Or, A = $1568.775
So, The final amount= A = $1568.78
Hence The final amount in the account after 6 years at compound interest is $1568.78 . Answer