The answer for this problem is 43
Answer:
5 nights.
Step-by-step explanation:
215=35x+40
Answer:
Step-by-step explanation:
Total profit function is equal to Total revenue function minus Total Cost function.
To get both Revenue function and Cost function, integrate the Marginal functions as follows:
R(t) = 108.7312t^2
Where 80et = 217.4624t
(e =2.71828)
C(t) = 80t - 0.4t^2
P(t) = R(t) - C(t) = 109.1312t^2 - 80t
When t=0, P=0
When t=1, P=29.1312
When t=2, P=276.5248
When t=3, P=742.1808
And so on ...
Summing the daily profits, total profit for the 10 days is 37,615.512 dollars which equals 3,761551.2 cents
(B)
Average daily profit for the first 10 days (in dollars) is 37,615.512÷10 = 3,761.5512 dollars
= 376,155.12 cents
Answer:
(2x - 1)
Step-by-step explanation:
- <em>Volume of a rectangular prism is: V = lwh, where l= lenght, w= width, h= height</em>
<h3>Given</h3>
- V = 36x³ + 60x² + x - 20
- l = (3x + 4)
- w = (6x + 5)
and
<h3>Solution</h3>
Since the volume is the polynomial of third degree and the two of the factors are of the first degree, the third factor is going to be a first degree as well in the format of (mx +n)
<u>So we have below equation:</u>
- 36x³ + 60x² + x - 20 = (3x + 4)(6x + 5) (mx + n)
<u>We can work out the value of m and n:</u>
- 3x*6x*mx = 36x³
- 18mx³ = 36 x³
- m = 2
<u>And</u>
- 4*5*n = -20
- 20n = -20
- n = -1
So we get the factor of (mx + n) = (2x - 1)
<u>Therefore </u>
<u>Proof of the polynimial is correct:</u>
- (3x + 4)(6x +5)(2x - 1) =
- (18x²+39x+20)(2x - 1) =
- 36x³ - 18x² + 78x² - 39x + 40x - 20 =
- 36x² + 60x² + x - 20
