What is the answer to this (in attached photo)

Mathematics

1 answer:

Katena32 [7]3 years ago

5 0

Answer:

Step-by-step explanation:

Here is a list of each of the numbers until their factors add up to the same multiple:

Brendan - 4, 8, 12

Miguel - 6, 12

Jeron - 3, 6, 9, 12

- - - - -

Brendan would complete a lap about 3 times around 12 minutes.

Miguel would complete a lap about 2 times around 12 minutes.

Jeron would complete a lap about 4 times around 12 minutes.

IM CONCLUSION -

The answer is 12 minutes

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$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
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\begin{array}{llll}
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\end{cases}
\\\\\\
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he then turns around and grabs that money and sticks it for another 9 years,

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
~~
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$16010.32\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{semi-annually, thus twice}
\end{array}\to &2\\
t=years\to &9
\end{cases}
\\\\\\
A=16010.32\left(1+\frac{0.05}{2}\right)^{2\cdot 9}\implies A=16010.32(1.025)^{18}
\\\\\\
A\approx 24970.64$

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