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prohojiy [21]
3 years ago
7

A car cost $20,000 when it was purchased. The value of the car decreases by 8% each year. Find the rate of decay each month and

select the correct answer below.
−0.006924%


−0.006667%


−0.666667%


−0.6924%
Mathematics
1 answer:
ludmilkaskok [199]3 years ago
4 0
Monthly rate of growth = x
then
(1+x)^12 = 100%-8%
(1+x) = (0.92)^(1/12)=0.9930756
=>
x=0.9930756-1=-0.0069244 = -0.69244%
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Answer:

The volume of the solid is π/40 cubic units.

Step-by-step explanation:

Please refer to the graph below.

Recall that the area of a semi-circle is given by:

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The volume of the solid will be the integral from <em>x</em> = 0 to <em>x</em> = 1 of area A. Since the diameter is given by <em>y</em>, then the radius is <em>y/2</em>. Hence, the volume of the solid is:

\displaystyle V=\int_0^1\frac{1}{2}\pi \left(\frac{y}{2}\right)^2\, dx

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\displaystyle V=\frac{1}{2}\pi\int_0^1\left(\frac{x^2}{2}\right)^2\, dx

Simplify:

\displaystyle V=\frac{1}{2}\pi \int_0^1\frac{x^4}{4}\, dx

Integrate:

\displaystyle V=\frac{1}{2}\pi \left[\frac{x^5}{20}\Big|_0^1\right]

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