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Nostrana [21]
3 years ago
14

Can anyone help me with this math problem?

Mathematics
2 answers:
SVETLANKA909090 [29]3 years ago
5 0
(y)= (x)×2 percent so that might help you but I do not know
wariber [46]3 years ago
3 0
Lemme give you a cheap answer, by simply using the "compound interest formula", which is what that is, 2% compounded yearly

thus \bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\qquad 
\begin{cases}
A=\textit{current amount}\to&\boxed{y}\\
P=\textit{original amount deposited}\to &\$23000\\
r=rate\to 2\%\to \frac{2}{100}\to &0.02\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{per year, meaning once}
\end{array}\to &1\\

t=years\to &\boxed{x}
\end{cases}

plug in those values, and simplify
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Answer:

She'll need 8143 cubic inches of foam and 1,809.6  square inches of fabric.

Step-by-step explanation:

Assuming you want to know how much foam and fabric she will need...

First the foam... so we need to determine the volume of that footstool.  The Volume of a cylinder is given by:

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So, we plug in the numbers:

V = π * 12² * 18 = π * 144 * 18

V = 2,592 π  = 8143 cubic inches.

Now for the fabric... we'll assume Maria wants to cover the side of the stool and the top, but not the bottom.

The side of the stool is basically a rectangle of width of 18 inches and a length of the circumference of the base of the stool.  The circumference is given by: C = 2 π * r of course, so C = 24π = 75.14 inches.

So the lateral surface of the cylinder is:

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Then we need to calculate the area of the top... which is easy:

A = π * r²  = π * 12²  = 144 π = 452.4 sq inches

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TA = 1,357.2 + 452.4 = 1,809.6 sq inches of fabric.

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3 years ago
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2 years ago
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