The total cost of a $2,099 couch including the 6.5% sales tax is $ 2235.435
<u>Solution:</u>
Given that,
cost of couch = $ 2099
Sales tax = 6.5%
<em><u>Finding the total cost of couch with sales tax:</u></em>
Total cost of couch = selling price of couch + sales tax on the selling price of couch
Plugging in values we get,
<em>Total cost of couch = $ 2,099 + 6.5% sales tax on $ 2099</em>
Taking "2099" as common term, we get,
On solving brackets,
Hence, the total cost of the couch is found as $ 2235.435
Answer:
0.375 feet-lb
Step-by-step explanation:
We have been given that the work required to stretch a spring 2 ft beyond its natural length is 6 ft-lb. We are asked to find the work needed to stretch the spring 6 in. beyond its natural length.
We can represent our given information as:
We will use Hooke's Law to solve our given problem.
Substituting this value in our integral, we will get:
Using power rule, we will get:
![6=\left[ \frac{kx^2}{2} \right ]^2_0](https://tex.z-dn.net/?f=6%3D%5Cleft%5B%20%5Cfrac%7Bkx%5E2%7D%7B2%7D%20%5Cright%20%5D%5E2_0)
We know that 6 inches is equal to 0.5 feet.
Work needed to stretch it beyond 6 inches beyond its natural length would be 
Using power rule, we will get:
![\int\limits^{0.5}_0 {3x} \, dx = \left [\frac{3x^2}{2}\right]^{0.5}_0](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%7B0.5%7D_0%20%7B3x%7D%20%5C%2C%20dx%20%3D%20%5Cleft%20%5B%5Cfrac%7B3x%5E2%7D%7B2%7D%5Cright%5D%5E%7B0.5%7D_0)
Therefore, 0.375 feet-lb work is needed to stretch it 6 in. beyond its natural length.
When you multiply, you add the powers and when you divide, you subtract the powers.
1. 2^7
2. 2^6
3. 2^3
4. 2^8
Chloe is 200 miles from Los Angeles and she at a constant speed of 55 miles. You just do 200/55 and that’s how long Chloe drives in a hour.
Answer:
-7.01×10
Step-by-step explanation:
