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lianna [129]
3 years ago
7

How much to the nearest dollar should you deposit in a savings account at 2.5% annual simple interest in order to have a balance

of $20,000 after five years?
Mathematics
1 answer:
Aneli [31]3 years ago
6 0

Answer:

The amount we have to deposit in a savings account x = $ 17777.78

Step-by-step explanation:

Amount = $ 20000

R = 2.5 %

Time = 5 years

Take principal amount = x

Simple interest earned in five years

S.I. = \frac{P R T}{100}

S.I. = \frac{P (2.5)(5)}{100}

S.I. = \frac{x}{8}   ------- (1)

We know hat total amount is given by

Total amount = principal amount + simple interest

A = x + S.I.

A = x + \frac{x}{8}

A = \frac{9x}{8}

Given that the total amount after 5 years is = $ 20000

\frac{9x}{8} = 20000

x = $ 17777.78

This is the amount we have to deposit in a savings account.

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\bf \textit{hyperbolas, vertical traverse axis }\\\\
\cfrac{(y-{{ k}})^2}{{{ a}}^2}-\cfrac{(x-{{ h}})^2}{{{ b}}^2}=1
\qquad 
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center\ ({{ h}},{{ k}})\\
vertices\ ({{ h}}, {{ k}}\pm a)\\
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\qquad \textit{center to foci}\\
\qquad \sqrt{{{ a }}^2+{{ b }}^2}
\end{cases}\\\\
-------------------------------\\\\

\bf \begin{cases}
h=0\\
k=0\\
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\\\\\\
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\\\\\\
\sqrt{5^2-4^2}=b\implies \boxed{3=b}
\\\\\\
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