Answer:
![x ∈ R,a=1](https://tex.z-dn.net/?f=x%20%E2%88%88%20R%2Ca%3D1)
Step-by-step explanation:
i believe this is the answer but i am not 100% sure
Answer:
<h3>4.c</h3><h3>5.a</h3>
Step-by-step explanation:
<h3>#CARRY ON LEARNING</h3><h3>#MARK BRAINLITS</h3>
M + 5n = 7
subtract 5n from each side
m = -5n + 7
Answer:
x=6
Step-by-step explanation:
Line ZW and YX are parallel, which means they have the same measurements.
Therefore:
3x+2=20
subtract two from both sides
3x=18
divide by 3
3x/3=18/3
x=6
hope this helps =D
Answer:
a) $2,641,885.90
b) $264,188.59
Step-by-step explanation:
The total profit is the integral of the marginal profit. The marginal profit is the difference between marginal revenue and marginal cost.
![\displaystyle P(t)=\int^t_0 {(R'(t)-C'(t))} \, dt=\int^t_0{(120e^t-120+0.6t)}\,dt\\\\P(t)=120(e^t-1)-120t+0.3t^2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20P%28t%29%3D%5Cint%5Et_0%20%7B%28R%27%28t%29-C%27%28t%29%29%7D%20%5C%2C%20dt%3D%5Cint%5Et_0%7B%28120e%5Et-120%2B0.6t%29%7D%5C%2Cdt%5C%5C%5C%5CP%28t%29%3D120%28e%5Et-1%29-120t%2B0.3t%5E2)
a) To find the total profit for the first 10 days, we evaluate P(10):
P(10) = 120(e^10 -1) -120(10) +0.3(10^2) = 120(22026.4658 -1) -1200 +30
P(10) = 2,641,885.90 . . . . rounded to cents
The total profit from day 0 to day 10 is $2,641,885.90.
__
b) The average daily profit is the total profit divided by the number of days:
average profit per day = P(10)/10 = $264,188.59
The average daily profit for the first 10 days is $264,188.59.