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You invest $2,000 in an account that is compounded annually at an interest rate of 5%. You never withdraw money from the account. Which equation below gives the amount of money you will have in the account after t years?

Respuesta :

please remember to provide options if it is a multiple choice!

The equation is:
2000 x (100%+5%) ^(t
=2000 x (1.05)^(t

hope it helps!

[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to &\$2000\\ r=rate\to 5\%\to \frac{5}{100}\to &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\to &1\\ t=years \end{cases} \\\\\\ A=2000\left(1+\frac{0.05}{1}\right)^{1\cdot t}\implies A=2000(1.05)^t[/tex]
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