You're looking for the volume of the prism. The dead giveaway there is that you're looking for "cubic" measurement. Cubic measures are indicators that the volume is being determined, just like "square feet" or inches, etc indicates area is being determined. The volume for this prism is found by multiplying the length times the width times the height. In decimal form, 45×30×40=54,000. But that is in cubic inches and we want cubic feet. So we will use dimensional analysis to convert that. Setting up the DA looks like this, keeping in mind that there are 12 cubic inches in 1 cubic foot:
![54,000in^3* \frac{1ft*1ft*1ft}{12in*12in*12in}](https://tex.z-dn.net/?f=54%2C000in%5E3%2A%20%5Cfrac%7B1ft%2A1ft%2A1ft%7D%7B12in%2A12in%2A12in%7D%20)
. The label of cubic inches cancels out leaving us with cubic feet, and doing the division there gives us 54,000/(12*12*12) which is 31.25 cubic feet.
5:3
5 to 3
5/3
Is that what you are looking for?
Answer:
P = $300
r = 0.15
n = 12
$544.61 (to the nearest cent)
![P(1+r)^t](https://tex.z-dn.net/?f=P%281%2Br%29%5Et)
$524.70 (to the nearest cent)
Step-by-step explanation:
P = principal amount = $300
r = annual interest rate in decimal form = 15% = 15/100 = 0.15
n = number of times interest is compounded per unit t = 12
<u>How much she'll owe in 4 years</u>
P = 300
r = 0.15
n = 12
t = 4
![P(1+\frac{r}{n})^{nt}=300(1+\frac{0.15}{12})^{12 \times 4}](https://tex.z-dn.net/?f=P%281%2B%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D%3D300%281%2B%5Cfrac%7B0.15%7D%7B12%7D%29%5E%7B12%20%5Ctimes%204%7D)
= $544.61 (to the nearest cent)
<u>Yearly compounding interest rate</u>
![P(1+r)^t](https://tex.z-dn.net/?f=P%281%2Br%29%5Et)
<u>How much she'll owe in 4 years at yearly compounding interest</u>
![P(1+r)^t=300(1+0.15)^4](https://tex.z-dn.net/?f=P%281%2Br%29%5Et%3D300%281%2B0.15%29%5E4)
= $524.70 (to the nearest cent)
Ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
The answer is going to be x=7