The height is 4 feet. You calculate the area by length times height. So what multiplied by 15 is 60? Well, 15ft x 4ft = 60ft^2
The equation that we can create from this situation is:
i = (190 – 5 x) * (29 + x)
where i is the income and x is the increase in daily rate
Expanding the equation:
i = 5510 + 190x – 145x - 5x^2
i = -5x^2 + 45x + 5510
Taking the 1st derivative:
di/dx = -10x +45
Set to zero to get the maxima:
-10x + 45 = 0
x = 4.5
So the cars should be rented at:
29 + x = 33.5 dollars per day
The maximum income is:
i = (190 – 5*4.5) * (33.5)
i = 5,611.25 dollars
For this problem, it is really important to find who voted on Tuesday first.
90×(3/5)= 54
54 people voted on Tuesday. Since the people who voted on Wednesday was 1/4 of the members who did not vote on Tuesday.
90-54=36×(1/4)=9
9 people voted on Wednesday. Now add Tuesday and Wednesday together to find the ones that didn't vote.
54+9=63;90-63=27
27 people did not vote at all.
The answer is B. 97
3 x 27 + 2 x 8