3 years ago

What’s the volume of the cake if the radius is 8 inches and the height is 5 inches?

Mathematics

1 answer:

Eva8 [605]3 years ago

4 0

Answer:

1005 in^3

Step-by-step explanation:

Think of this cake as a cylindrical solid of base radius 8 in and height 5 in.

The volume is V = (base area)(height), which here is:

V = (pi)*(8 in)^2*(5 in) = 320pi in^3, or approximately 1005 in^3

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After 1 year, the initial investment increases by 7%, i.e. multiplied by 1.07. So after 1 year the investment has a value of $800 × 1.07 = $856.

After another year, that amount increases again by 7% to $856 × 1.07 = $915.92.

And so on. After t years, the investment would have a value of $\$800 \times 1.07^t$ .

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Solve for n :

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$\log_{1.07}\left(1.07^n\right) = \log_{1.07}\left(\dfrac74\right)$

$n \log_{1.07}(1.07) = \log_{1.07} \left(\dfrac74\right)$

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