Answer:
Step-by-step explanation:
V = 1/3 * pi * r^2 * h
r = ?
pi = 3.14
h = 17 cm
3*V = pi * r^2 h = r^2 Divide by pi
3*V/pi = r^2 h = r^2 Divide by h
3*V/(pi*h) =r^2 Take the square root of the left to get just r
sqrt(3*V/(pi*h)) = r Now solve the equation.
sqrt(3*538.25 /(3.14*17)) = r
sqrt(1614 / 53.38) =
r = sqrt(30.24)
r = 5.493
Answer:
18.7 years
Step-by-step explanation:
This is a compound interest problem and the following variables have been given;
Principal = 4000; this is the amount o be invested
APR = 9%; this is the compound interest to be earned
Accumulated amount = 20,000
We are required to determine the duration in years. We apply the compound interest formula;
![A=P(1+r)^{n}](https://tex.z-dn.net/?f=A%3DP%281%2Br%29%5E%7Bn%7D)
![20000=4000(1+\frac{9}{100})^{n}\\20000=4000(1.09)^{n}\\5=(1.09)^{n}](https://tex.z-dn.net/?f=20000%3D4000%281%2B%5Cfrac%7B9%7D%7B100%7D%29%5E%7Bn%7D%5C%5C20000%3D4000%281.09%29%5E%7Bn%7D%5C%5C5%3D%281.09%29%5E%7Bn%7D)
The next step is to introduce natural logarithms in order to determine n;
![ln5=nln(1.09)\\n=\frac{ln5}{ln(1.09)}\\n= 18.675](https://tex.z-dn.net/?f=ln5%3Dnln%281.09%29%5C%5Cn%3D%5Cfrac%7Bln5%7D%7Bln%281.09%29%7D%5C%5Cn%3D%2018.675)
The number of years required is thus 18.7 years
NLM-CAB would be the right answer
Answer:
1/16
Step-by-step explanation:
Demont made one fourth (
) pound of rock candy
He separates the candy into four sacks equally.
This is done by dividing the total fraction of candy of a pound of candy made by the number of sacks
The fraction of a pound of candy that will be in each sack therefore is:
![\frac{1}{4}\div 4= \frac{1}{4}X\frac{1}{4}=\frac{1}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%5Cdiv%20%204%3D%20%5Cfrac%7B1%7D%7B4%7DX%5Cfrac%7B1%7D%7B4%7D%3D%5Cfrac%7B1%7D%7B16%7D)
Therefore, One-Sixteenth of a pound of candy will be in each of the sack.