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ANTONII [103]
2 years ago
12

At the beginning of each year for 14 years, Sherry Kardell invested $400 that earns 10% annually. What is the future value of Sh

erry's account in 14 years?
Mathematics
2 answers:
seropon [69]2 years ago
6 0

Answer:

Dependent on which interest plan. On simple interest Sherry Kardell will have a future value of $960 in her account.

Step-by-step explanation:

The simple interest is defined as:

A=P*(1+r*t)

A is the future amount of money after interest. P is the principal money that is being invested. t is the time that the money is invested and r is that interest rate the money invested to.

P = $400, r=0.1, t=14 years

A=400*(1+0.1*14)=960

Therefore she will have 960-400=$560 more in her account after 14 years.

Naddik [55]2 years ago
3 0
Hmm if I'm not mistaken, is just an "ordinary" annuity, thus 

\bf \qquad \qquad \textit{Future Value of an ordinary annuity}
\\\\
A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]
\\\\\\

\bf \begin{cases}
A=
\begin{array}{llll}
\textit{original amount}\\
\textit{already compounded}
\end{array} &
\begin{array}{llll}

\end{array}\\
pymnt=\textit{periodic payments}\to &400\\
r=rate\to 10\%\to \frac{10}{100}\to &0.1\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, so once}
\end{array}\to &1\\

t=years\to &14
\end{cases}
\\\\\\
A=400\left[ \cfrac{\left( 1+\frac{0.1}{1} \right)^{1\cdot 14}-1}{\frac{0.1}{1}} \right]

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------------

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