Answer:
Step-by-step explanation:
Given the Total revenue R(x) = 2x
Cost C(x) = 0.01x²+0.3x+30 where;
x = 30 and dx/dt = 9units per day.
Rate of change of revenue dR/dt = dR/dx • dx/dt
dR/dt = 2dx/dt
dR/dt = 2(9) = $18
Rate of change of revenue with respect to time is 18dollars/day.
Rate of change of cost dC/dt = dC/dx • dx/dt
dC/dt = (0.02x+0.3)dx/dt
dC/dt at x = 30 and dx/dt = 9 will give;
dC/dt = {0.02(30)+0.3}×9
dC/dt = (0.6+0.3) × 9
dC/dt = 0.9×9
dC/dt = $8.1
Rate of change of cost with respect to time is 8.1dollars/day
Profit = Revenue - Cost
Profit = 18-8.1
Daily Profit = $9.9
x over 5 becuase the top and bottom are both divisible by 8 so you do that.
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Answer:
When converting a fraction to a decimal, the numerator is the <u>dividend.</u>
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It would be answer choice A (10^5) because there are 5 10s in the problem
If you look at the sequence, you would observe:
5 - 2 = 3, 8 - 5 = 3, 11 - 8 = 3.
There is a common difference of 3, so the sequence is an Arithmetic Progression.
nth term of an AP = a + (n - 1)d
where a = 1st term = 2, d = common difference = 3
nth term of an AP = a + (n - 1)d
nth term of an AP = 2 + (n - 1)*3 = 2 + 3*n - 3*1 = 2 + 3n - 3
= 2 - 3 + 3n
= -1 + 3n
= 3n - 1
The nth term = 3n - 1, where n = 1, 2, 3, 4, 5,....
I hope this explains it.
