Answer:
827.39 yd cubed or ^3
Step-by-step explanation:
Hope i could help
Answer:
.
Step-by-step explanation:
We have been given that a variable force of 
pounds moves an object along a straight line when it is x feet from the origin. We are asked to find the work done in moving the object from x = 1 ft to x = 10 ft.
We know that 
, where F represents force.
Now, we will integrate both sides of equation as:
Take the constant out:
Upon applying power rule of integrals, we will get:
![w =3\/[ \frac{x^{-2+1}}{-2+1} ]^{10}_1](https://tex.z-dn.net/?f=w%20%3D3%5C%2F%5B%20%5Cfrac%7Bx%5E%7B-2%2B1%7D%7D%7B-2%2B1%7D%20%5D%5E%7B10%7D_1)
![w =3[ \frac{x^{-1}}{-1} ]^{10}_1](https://tex.z-dn.net/?f=w%20%3D3%5B%20%5Cfrac%7Bx%5E%7B-1%7D%7D%7B-1%7D%20%5D%5E%7B10%7D_1)
![w =3[ -\frac{1}{x} ]^{10}_1](https://tex.z-dn.net/?f=w%20%3D3%5B%20-%5Cfrac%7B1%7D%7Bx%7D%20%5D%5E%7B10%7D_1)
![w =3[ -\frac{1}{10} -(-\frac{1}{1})]](https://tex.z-dn.net/?f=w%20%3D3%5B%20-%5Cfrac%7B1%7D%7B10%7D%20-%28-%5Cfrac%7B1%7D%7B1%7D%29%5D)
![w =3[ -\frac{1}{10}+\frac{10}{10})]](https://tex.z-dn.net/?f=w%20%3D3%5B%20-%5Cfrac%7B1%7D%7B10%7D%2B%5Cfrac%7B10%7D%7B10%7D%29%5D)
![w =3[\frac{9}{10}]](https://tex.z-dn.net/?f=w%20%3D3%5B%5Cfrac%7B9%7D%7B10%7D%5D)
Therefore, the work done by the object is .
Step-by-step explanation:
Because it is 5 units to the left of 1 on a horizontal number line
2000 * .1 = 200 + 2000 = 2200 (First year)
2200 *.1 = 220 + 2200 = 2420 (second year )
2420* .1 = 242 + 2420 = 2662 (third year )
2662 * .1 = 266.2 + 2662 = 2928.2 (fourth year)
They spent $2928.2 on clothing for 4 years.
