Answer:
(500π)÷3
Step-by-step explanation:
area=4πr^2 , volume=4(πr^3)÷3
area=100π ,so r=5
Answer:
Student=20%
Teacher=80%
Step-by-step explanation:
60/75 x100
= 80
100-80
=20
Answer:
$293,562.707
Step-by-step explanation:
As for the provided details we know,
Janet needs $51,500 from end of 7th year for upcoming 20 years.
The present value of 20 installments of $51,500 shall be @ 6% from year 7 to year 8.0858
Thus total value = $51,500
8.0858 = $416,418.7
Now the compound interest factor for 6 year @ 6 % = 1.4185
Thus, value to be invested today = $416,418.70/1.4185 = $293,562.707
As this when compounded annually will provide the balance as required at the end of 6 years.
Answer:
Jose is 54years Rachael is 38years
Step-by-step explanation:
Jose=x-12
Rachael=x-12/2
sum of their ages x-12+x-12/2=63
collect like terms
x=54years
Jose =54years
Rachael=38years
Answer:
Step-by-step explanation:
b.

d.

e.
![\frac{2x^2-10x+12}{x^2-4} *\frac{2+x}{3-x} \\=\frac{2[x^2-5x+6]}{x^2-2^2} *\frac{2+x}{-(-3+x)} \\=\frac{2[x^2-2x-3x+6]}{(x+2)(x-2)} *\frac{x+2}{-(x-3)} \\=\frac{2[x(x-2)-3(x-2)]}{(x+2)(x-2)} *\frac{x+2}{-(x-3)} \\=\frac{2(x-2)(x-3)}{(x+2)(x-2)} *\frac{x+2}{-(x-3)} \\=\frac{2}{-1} \\=-2](https://tex.z-dn.net/?f=%5Cfrac%7B2x%5E2-10x%2B12%7D%7Bx%5E2-4%7D%20%2A%5Cfrac%7B2%2Bx%7D%7B3-x%7D%20%5C%5C%3D%5Cfrac%7B2%5Bx%5E2-5x%2B6%5D%7D%7Bx%5E2-2%5E2%7D%20%2A%5Cfrac%7B2%2Bx%7D%7B-%28-3%2Bx%29%7D%20%5C%5C%3D%5Cfrac%7B2%5Bx%5E2-2x-3x%2B6%5D%7D%7B%28x%2B2%29%28x-2%29%7D%20%2A%5Cfrac%7Bx%2B2%7D%7B-%28x-3%29%7D%20%5C%5C%3D%5Cfrac%7B2%5Bx%28x-2%29-3%28x-2%29%5D%7D%7B%28x%2B2%29%28x-2%29%7D%20%2A%5Cfrac%7Bx%2B2%7D%7B-%28x-3%29%7D%20%5C%5C%3D%5Cfrac%7B2%28x-2%29%28x-3%29%7D%7B%28x%2B2%29%28x-2%29%7D%20%2A%5Cfrac%7Bx%2B2%7D%7B-%28x-3%29%7D%20%5C%5C%3D%5Cfrac%7B2%7D%7B-1%7D%20%5C%5C%3D-2)
k.
