imma go with my gut and say b :?
Answer:
The answer is 4
Step-by-step explanation:
Answer:
24 Years
Step-by-step explanation:
Rule of 72 is an approximation that you can use to estimate the time it will take for something to double in value at a compound rate of interest
use the following equation
72/(i*100)
we have
72/(.03*100)
72/3=24
The tank with Chemical X "takes up" a space of 25ft³. Ordinarily we think of something "taking up" space as being area or surface area; however, area is a square measurement, and this is cubic; this must be volume. The volume of the tank with Chemical X is 1.5 times the volume of the tank containing Chemical Y; setting this up in an equation we would have
25 = 1.5<em>V</em>
We would divide both sides by 1.5 to get the volume of the tank containing Chemical Y:
![\frac{25}{1.5}=\frac{1.5V}{1.5} \\16 \frac{2}{3}=V](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B1.5%7D%3D%5Cfrac%7B1.5V%7D%7B1.5%7D%20%5C%5C16%20%5Cfrac%7B2%7D%7B3%7D%3DV)
To find the volume of a cylinder, we find the base area and multiply by the height. We know the volume and we know the base area, so our equation to find the height of the tank containing Chemical Y would look like:
![16 \frac{2}{3}=3.2h \\ 16 \frac{2}{3}=3 \frac {2}{10}h](https://tex.z-dn.net/?f=16%20%5Cfrac%7B2%7D%7B3%7D%3D3.2h%20%5C%5C%2016%20%5Cfrac%7B2%7D%7B3%7D%3D3%20%5Cfrac%20%7B2%7D%7B10%7Dh)
We would now divide both sides by 3 2/10:
![\frac{16 \frac{2}{3}}{3 \frac{2}{10}}= \frac{3 \frac{2}{10}h}{3 \frac{2}{10}}](https://tex.z-dn.net/?f=%5Cfrac%7B16%20%5Cfrac%7B2%7D%7B3%7D%7D%7B3%20%5Cfrac%7B2%7D%7B10%7D%7D%3D%20%5Cfrac%7B3%20%5Cfrac%7B2%7D%7B10%7Dh%7D%7B3%20%5Cfrac%7B2%7D%7B10%7D%7D)
This is the same as:
![\frac{\frac{50}{3}}{\frac{32}{10}}=h \\ \\ \frac{50}{3}* \frac{10}{32}=h \\ \\ \frac{500}{96}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B50%7D%7B3%7D%7D%7B%5Cfrac%7B32%7D%7B10%7D%7D%3Dh%20%5C%5C%20%5C%5C%20%5Cfrac%7B50%7D%7B3%7D%2A%20%5Cfrac%7B10%7D%7B32%7D%3Dh%20%5C%5C%20%5C%5C%20%5Cfrac%7B500%7D%7B96%7D)
So the height of the tank containing Chemical Y is 500/96 = 5 5/24 feet.
After 3 hours, you will be on 450 mile marker.
Step-by-step explanation:
<u>step 1:</u> At start, the number in the mile marker is 100
<u>step 2:</u> After 4 hours, the number in the mile marker is 300
<u>step 3:</u> The difference of 300-100= 200. In 4 hours you crossed 200 mile markers.
<u>step 4:</u> Therefore, for 1 hour you can cross= 200/4= 50 mile markers.
For 3 hours, the number of mile markers crossed= 3*50= 150 mile markers.
<u>step 5:</u> After 3 hours, the number in the mile marker will be= 300+150= 450