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The percent of commission is 7.3% to the nearest tenth of a percent
Step-by-step explanation:
The given is:
- Bill earns a commission on every sale he makes
- He sells a bed for $591 and earns a $43 commission
We need to find the percent commission
To find the percent of commission divide the commission by the selling price and multiply the answer by 100%
∵ His commission is $43
∵ The selling price is $591
∵ The percent of commission = × 100%
∴ The percent of commission = × 100%
∴ The percent of commission = 7.2758%
- Rounded it to the nearest tenth percent
∴ The percent of commission = 7.3%
The percent of commission is 7.3% to the nearest tenth of a percent
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The graph of is a horizontal line. So the area under
on [0, 8] is equal to the area of a rectangle with length 8 and height 2, or 16.
The graph of is the upper half of a circle with radius
. It's symmetric about
, so on the interval [0, 8], we're considering a quarter of the circle. The area of such a sector is
.
Then use the fact that the definite integral is distributive over sums, meaning