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# Determine the algebraic modeling How much money will there be in an account at the end of 7 years if $2000 is deposited at displaystyle{4}% interest compounded serni-annually? # Determine the algebraic modeling How much money will there be in an account at the end of 7 years if$2000 is deposited at displaystyle{4}% interest compounded serni-annually?

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Modeling asked 2020-12-13
Determine the algebraic modeling How much money will there be in an account at the end of 7 years if $2000 is deposited at $$\displaystyle{4}\%$$ interest compounded serni-annually? ## Answers (1) 2020-12-14 Given data, $$\displaystyle{t}={7}$$ years $$\displaystyle{P}={2000}$$ $$\displaystyle{|}><={4}\%={0},{04}$$ $$\displaystyle{n}={2}$$ (semi-anually) $$\displaystyle{A}={P}{\left({1}+\frac{{{|}><}}{{n}}\right)}^{t}{n}$$ $$\displaystyle={2000}{\left({1}+\frac{{{0},{04}}}{{2}}\right)}^{{{2}+{7}}}$$ $$\displaystyle={2000}{\left({1}+{0},{02}\right)}^{14}$$ $$\displaystyle={2638},{96}$$ We get a finally answer $$\displaystyle{A}=\{2639}$$ The amoun $$\displaystyle{a}{\mathtt{{|}}}><{7}$$ years is$ 2639

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