The question is to find an expression for the expenses
<u>Answer:</u>
E (x) =n + 5
<u>Explanation:</u>
The profit is defined as the difference between the revenue and the expenses.
<u>This means that:</u>
profit = revenue - expenses
<u>Now, we rearrange the equation to solve for expenses:</u>
expenses = revenue - profit
<u>From the given, we know that:</u>
expression for revenue is 18n
expression for profit is 17n - 5
<u>Substitute in the equation to get expression for expenses as follows:</u>
E (x) = 18n - (17n - 5)
E (x) = 18n - 17n + 5
E (x) = n + 5
Hope this helps :)
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
.
Answer:
A: 40 degrees
Step-by-step explanation:
Since every triangle is 180 degrees, you can start off by subtracting 50 from 180 since that side does not contain a y for you to solve.
Since the other two sides do have a y in them, you would set 130 degrees equal to y+10 and 2y:
130=y+10+2y
Then you would isolate the y's by subtracting 10, and you would add y and 2y together to get:
120=3y
Finally, you would divide 120 by 3 to get your answer, 40=y.
Hope this helps!
Answer:
$541.22
Step-by-step explanation:
We are given;
Amount deposited (principal) is $500
Rate of interest is 4%
Time = 2 years
We are required to determine amount in the account after 2 years
Interest periods, n = 4 (since the money was compounded semi-annually)
rate of interest, r = 2%
Using the compound interest formula;
Amount, A = P (1 + r/100)^n
Therefore;
Amount = $500 (1 + 2/100)^4
= $500 × 1.02^4
= $541.22
Therefore, the balance in the account after 2 years is $541.22
Answer:
(5,3)
Step-by-step explanation:
x=17-4y
x=17-4x+8
x=25-4x
5x=25
x=5
y=x-2
y=5-2
y=3
(5,3)