The answer is c.. Just use the distributive property on c and it will equal what you have to factor
Answer: The machine depreciates during the fifth year by $4000.
Step-by-step explanation:
Given: The resale value of a certain industrial machine decreases over a 8-year period at a rate that changes with time.
When the machine is x years old, the rate at which its value is changing is 200(x - 8) dollars per year.
Then, the machine depreciates A(x) during the fifth year as
![A(x) =\int^{5}_1200(x - 8)\ dx\\\\=200|\frac{x^2}{2}-8x|^{5}_1\\\\=200[\frac{5^2}{2}-\frac{1^2}{2}-8(5)+8(1)]\\\\=200 [12-32]\\\\=200(-20)=-4000](https://tex.z-dn.net/?f=A%28x%29%20%3D%5Cint%5E%7B5%7D_1200%28x%20-%208%29%5C%20dx%5C%5C%5C%5C%3D200%7C%5Cfrac%7Bx%5E2%7D%7B2%7D-8x%7C%5E%7B5%7D_1%5C%5C%5C%5C%3D200%5B%5Cfrac%7B5%5E2%7D%7B2%7D-%5Cfrac%7B1%5E2%7D%7B2%7D-8%285%29%2B8%281%29%5D%5C%5C%5C%5C%3D200%20%5B12-32%5D%5C%5C%5C%5C%3D200%28-20%29%3D-4000)
Hence, the machine depreciates during the fifth year by $4000.
Answer:
3
Step-by-step explanation:
2•3=6 +2=8 8 squared is 8•8 which is 64. This problem is quite simple.
So first let’s simplify each term by adding the numbers together. Now we have 10/5 + 9/3. We are still working with each term individually, so next let’s simplify by dividing. 10/5 is 5, and 9/3 is 3, so now we have 5+3 which equals 8. Hope this helps!
Answer:
<u>0 (zero)</u>
Step-by-step explanation:
15mn + 5(m – 3mn) – 5m
=15mn+5m-15mn-5m
=15mn-15mn+5mn-5mn
=0