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3 years ago

8

Mr. and Mrs. Jones plan on retiring on 70 percent of their pre-retirement earnings. If they earned $47,000 the last year before

they retired, how much retirement income do they plan on?
32,900
6,714
7,990
33,215

1 answer:

kvasek [131]3 years ago

8 0

32,900 is your answer so it's "A".

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The answer is below:

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Solution:

Given a circle of center, A with radius, r (AB) = 6 units

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$\begin{gathered} A=\frac{\theta}{360\degree}\times\pi r^2 \\ Where\text{ r}=AB=6\text{ units} \\ A=9\pi\text{ square units} \end{gathered}$

Substitute the values of the variables into the formula above to find the angle, θ, subtended by the sector.

$\begin{gathered} 9\pi=\frac{\theta}{360\degree}\times\pi\times6^2 \\ Crossmultiply \\ 9\pi\times360=36\pi\times\theta \\ 3240\pi=36\pi\theta \\ Divide\text{ both sides by 36}\pi \\ \frac{3240\pi}{36\pi}=\frac{36\pi\theta}{36\pi} \\ 90\degree=\theta \\ \theta=90\degree \end{gathered}$

To find the length of the arc, s, the formula is

$\begin{gathered} s=\frac{\theta}{360\degree}\times2\pi r \\ Where \\ \theta=90\degree \\ r=6\text{ units} \end{gathered}$

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1 year ago

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3 years ago

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