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marin [14]
3 years ago
15

A clothing store salesman had $5212 in total sales last month. He made $175 in commision. What is the commision as a percent of

the total monthly sales?
Mathematics
1 answer:
Elis [28]3 years ago
3 0

Divide the amount of commission made by the total sale, then multiply the decimal answer by 100 for the percent:

175 / 5212 = 0.03357


0.03357 * 100 = 3.357%


Round the answer as needed.


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Over each subinterval, we interpolate f(x)=\sqrt{1+x^8} with the quadratic polynomial,

p_i(x)=f(\ell_i)\dfrac{(x-m_i)(x-r_i)}{(\ell_i-m_i)(\ell_i-r_i)}+f(m_i)\dfrac{(x-\ell_i)(x-r_i)}{(m_i-\ell_i)(m_i-r_i)}+f(r_i)\dfrac{(x-\ell_i)(x-m_i)}{(r_i-\ell_i)(r_i-m_i)}

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It turns out that the latter integral reduces significantly to

\displaystyle\int_0^5f(x)\,\mathrm dx\approx\frac56\left(f(0)+4f\left(\frac{0+5}2\right)+f(5)\right)=\frac56\left(1+\sqrt{390,626}+\dfrac{\sqrt{390,881}}4\right)

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