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:
apple being picked: 8 times
given:
- 3 bananas
- 4 apples
- 3 oranges
- total fruits: (3+4+3)↭10 fruits
probability:
(apples/total fruits)*times picked
(4/10)*20
8 times
Answer:
4x-10.02
Step-by-step explanation:
subtract 7 from -3.02
<h2>
pls mark as brainliest</h2>
Area=legnth times width
in square, length=width
area living rom=12 times 18=216
area square bedrwoom=12*12=144
total=216+144=360
we don't actualy need to find the money value
bedroom/total=144/360=0.4=40/100=40%
40% spent on the bedroom
if you don't believe me
360*3.50=1260
bedroom=144*3.50=504
504/1260=0.4=40/100=40%
Answer:
B, C, D, F
Step-by-step explanation:
to simplify the fraction 48/64, you need to divide both the numerator and denominator by their common factors. B is correct since you can divide both by 16, C is correct since both are divisible by 8, D is correct since both are divisible by 4, and F is correct since both are divisible by 2. A, however, would be correct only if the fraction were 64/48 and E would only be correct if 9 was a factor of 48 and 12 was a factor of 64, however neither haev such factors.