Answer: -$480
Step-by-step explanation:
The revenue us P*x
now, when P = $40, we have:
X = 14400 - 3*40^2 = 9600
then the revenue is:
9600*$40 = $384000
now, the price increaces by $2 so the new equation is:
X = 14400 - 3*42^2 = 9108
The revenue is:
9109*$42 = $382536
You can see that the revenua is smaller than before.
Now, if we want to calculate the rate of change when p = $40, we need to look at X'(40)
this is:
X´(p) = -3*2*p
then:
X'(40) = -3*2*40 = -120
Theh rate of change of the revenua will be:
X'(40)*$40 = -120*$40 = -$480
Answer:
30.5 cm
Step-by-step explanation:
0 < h ≤ 10 ⇔ Midpoint = 5
10 < h ≤ 20 ⇔ Midpoint = 15
20 < h ≤ 30 ⇔ Midpoint = 25
30 < h ≤ 40 ⇔ Midpoint = 35
40 < h ≤ 50 ⇔ Midpoint = 45
50 < h ≤ 60 ⇔ Midpoint = 55
<u>⇒ </u><u><em>Multiply each corresponding midpoint with it's frequency</em></u>
(5 × 1) + (15 × 4) + (25 × 7) + (35 × 2) + (45 × 3) + (55 × 3) = 610
<u>⇒ </u><u><em>Divide the total of 610 by the frequencies added together</em></u>
610 ÷ (1 + 4 + 7 + 2 + 3 + 3) = 610 ÷ 20 = 30.5
Answer:
simplified value of the exponential expression 27 Superscript one-third
27= 3×3×3
=
answer is 3
Step-by-step explanation:
Answer:
x=16
Step-by-step explanation:
First the nth term which is 6n-3
So 6x45-3 is your answer
