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The amount of money, A(t)\displaystyle {A}{\left({t}\right)} , in a savings account that pays 4% interest, compounded quarterly for t\displaystyle {t} years, when an initial investment of $3500 is made, is given by
A(t)=\displaystyle {A}{\left({t}\right)}=3500(1.01)4t\displaystyle {3500}{\left({1.01}\right)}^{{{4}{t}}}.

Find A(4)−A(1)4−1\displaystyle {\frac{{{A}{\left({4}\right)}-{A}{\left({1}\right)}}}{{{4}-{1}}}}  

Interpret the result



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