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Mekhanik [1.2K]
2 years ago
7

What is interest earned on 3500 invested at 6% compounded quarterly or 12 years

Mathematics
1 answer:
enyata [817]2 years ago
6 0
\bf \qquad \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 &\$3500\\
r=rate\to 6\%\to \frac{6}{100}\to &0.06\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4\\
t=years\to &12
\end{cases}
\\\\\\
A=3500\left(1+\frac{0.06}{4}\right)^{4\cdot 12}\implies A=3500(1.015)^{48}

so, the interest earned then will be  A - 3500.
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A scoop of ice cream has 1.5 inch radius. How talk should the cream cone of the same radius be in order to contain all of the ic
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The cream cone should be <u>6 inches</u>.

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A scoop of ice cream has 1.5 inch radius.

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Volume=\frac{4}{3} \pi r^3

Volume=\frac{4}{3}\times 3.14\times 1.5^3\\\\Volume=\frac{4}{3}\times 3.14\times 3.375\\\\Volume=14.13\ inches^3.

<em>Thus, the volume of the ice cream scoop is 14.13 cubic inches.</em>

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<em>We take the cream cone volume as the scoop volume.</em>

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<em>As, given radius is same.</em>

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Volume=\pi r^2\frac{h}{3}

14.13=3.14 \times (1.5)^2\times \frac{h}{3}\\\\14.13=3.14\times 2.25\times \frac{h}{3}

<em>Multiplying both sides by 3 we get:</em>

<em />42.39=3.14\times 2.25\times h\\\\42.39=7.065\times h<em />

<em>Dividing both sides by 7.065 we get:</em>

6=h

h=6\ inches.

<u><em>Hence, the height of the cone = 6 inches.</em></u>

Therefore, the cream cone should be 6 inches.

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