Mathematics: If you get paid 30.00 per hour and you worked 8.5 hours how much do you get paid

If you get paid 30.00 per hour and you worked

Ответ:

barkonatree

09.06.2021

Mathematics

The fraction is decreased by 85.71 %

Solution:

Let the numerator be "n" and denominator be "d"

Then the fraction is: $\frac{n}{d}$

Given that numerator is decreased by 10 % and denominator is decreased by 70 %

Decreased by 10 % means = 100 % - 10 % = 90 %

Decreased by 70 % means = 100 % - 70 % = 30 %

Then the new numerator is: n - 90% of n = n - 0.9n = 0.1n

Then the new denominator is: d - 30 % of d = d - 0.3d = 0.7d

Then the new fraction is: $\frac{0.1n}{0.7d}$

Percent change is given as:

$\rightarrow \frac{new fraction - original fraction}{original fraction} \times 100$

$\rightarrow \frac{\frac{0.1n}{0.7d} - \frac{n}{d}}{\frac{n}{d}} \times 100\\\\\rightarrow \frac{0.1}{0.7} - 1 \times 100\\\\\rightarrow -0.857 \times 100 = -85.71$

Hence the fraction is decreased by 85.71 %

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If you get paid 30.00 per hour and you worked 8.5 hours how much do you get paid

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