$375 at 6% for 2 years

Mathematics

1 answer:

mr_godi [17]2 years ago

3 0

I’m pretty sure it’s $16,425

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P is inversely proportional to the cube of (q-2) p=6 when q=3 find the value of p when q is 5

sveticcg [70]

$\bf \begin{array}{llllll}
\textit{something}&&\textit{varies inversely to}&\textit{something else}\\ \quad \\
\textit{something}&=&\cfrac{{{\textit{some value}}}}{}&\cfrac{}{\textit{something else}}\\ \quad \\
y&=&\cfrac{{{\textit{k}}}}{}&\cfrac{}{x}
\\
&&y=\cfrac{{{ k}}}{x}
\end{array}\\\\
-----------------------------\\\\
\textit{p is inversely proportional to the cube of (q-2)}\implies p=\cfrac{k}{(q-2)^3}
\\\\\\
now \quad 
\begin{cases}
p=6\\
q=3
\end{cases}\implies 6=\cfrac{k}{(3-2)^3}$

solve for "k", to find k or the "constant of variation"

then plug k's value back to $\bf p=\cfrac{k}{(q-2)^3}$

now.... what is "p" when q = 5? well, just set "q" to 5 on the right-hand-side, and simplify, to see what "p" is

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topjm [15]

Ah yes, good ol’ Pythagorean’s theorem.

The hypotenuse is the opposite of the 90 degree angle, the longest side of the triangle.

The legs are opposite of the acute angles

Formula: a^2 + b^2 = c^2

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Let’s plug in some values

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The side will be 6.7 units

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Let’s plug in some values

(13.3)^2 = (9.7)^2 + (b)^2

(13.3)^2 - (9.7)^2 = b^2

176.89 - 94.09 = b^2

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Margarita is 15 years older than Silvia the sum of their ages is 41

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soldier1979 [14.2K]

Your final answer will be 2 157/500 for the decimal 2.314

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