Answer:
41/60
Step-by-step explanation:
Convert the fractions into like denominators: 7/30 = 140/600, 9/20 = 270/600
Add: 140/600+270/600 = 410/600
Divide into a smaller fraction: 41/60
Answer:
$1,448.66
Step-by-step explanation:
The future value of an annuity with yearly deposits 'P' at an interest rate of 'r' invested for 'n' years is determined by:
![FV = P[\frac{(1+r)^n-1}{r}]](https://tex.z-dn.net/?f=FV%20%3D%20P%5B%5Cfrac%7B%281%2Br%29%5En-1%7D%7Br%7D%5D)
For P = $100, r = 0.08 and n = 10 years:
![FV = 100[\frac{(1+0.08)^{10}-1}{0.08}]\\FV=\$1,448.66](https://tex.z-dn.net/?f=FV%20%3D%20100%5B%5Cfrac%7B%281%2B0.08%29%5E%7B10%7D-1%7D%7B0.08%7D%5D%5C%5CFV%3D%5C%241%2C448.66)
The amount at the end of the ten years is $1,448.66
Answer:
f(-6) = 72
Step-by-step explanation:
Input -6 for x :
2(-6)²
Complete with P.E.M.D.A.S :
2(36)
then :
72
so therefore :
f(-6) = 72
or
f of x equals 72
15%. 480-72=408
480x15%= 72
Answer:
The lateral surface area is ![68\pi\ units^{2}](https://tex.z-dn.net/?f=68%5Cpi%5C%20units%5E%7B2%7D)
Step-by-step explanation:
we know that
The lateral surface area of a cylinder (soup can) is equal to
![LA=2\pi rh](https://tex.z-dn.net/?f=LA%3D2%5Cpi%20rh)
we have
![r=3.4\ units](https://tex.z-dn.net/?f=r%3D3.4%5C%20units)
![h=10\ units](https://tex.z-dn.net/?f=h%3D10%5C%20units)
substitute
-----> exact value
----> approximate value