Answer:
A 24 because half of 12 is 6 then 6 x 4 is 24
B 90÷3 is 30 which is 2/3 of 45
Hope this helps you
Answer:
Step-by-step explanation:
Consider the graphs of the
and
.
By equating the expressions, the intersection points of the graphs can be found and in this way delimit the area that will rotate around the Y axis.
then
o
. Therefore the integration limits are:
and 
The inverse functions are given by:
and
. Then
The volume of the solid of revolution is given by:
![\int\limits^{64}_ {0} \, [2\sqrt{y} - \frac{y}{4}]^{2} dy = \int\limits^{64}_ {0} \, [4y - y^{3/2} + \frac{y^{2}}{16} ]\ dy = [2y^{2} - \frac{2}{5}y^{5/2} + \frac{y^{3}}{48} ]\limits^{64}_ {0} = 546.133 u^{2}](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%7B64%7D_%20%7B0%7D%20%5C%2C%20%5B2%5Csqrt%7By%7D%20-%20%5Cfrac%7By%7D%7B4%7D%5D%5E%7B2%7D%20%20dy%20%3D%20%5Cint%5Climits%5E%7B64%7D_%20%7B0%7D%20%5C%2C%20%5B4y%20-%20y%5E%7B3%2F2%7D%20%2B%20%5Cfrac%7By%5E%7B2%7D%7D%7B16%7D%20%5D%5C%20%20dy%20%3D%20%5B2y%5E%7B2%7D%20-%20%5Cfrac%7B2%7D%7B5%7Dy%5E%7B5%2F2%7D%20%2B%20%5Cfrac%7By%5E%7B3%7D%7D%7B48%7D%20%5D%5Climits%5E%7B64%7D_%20%7B0%7D%20%3D%20546.133%20u%5E%7B2%7D)
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
Isaiah walks 1.8 miles to school each day
3/5*3=9/5=1.8