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
Answer: sin 33° and cos 57°
Step-by-step explanation:
From the Venn diagram: 15 players like Chemstrand, 17 players like Chemgrass, 13 players like both Chemstrand and Chemgrass while 10 players like neither Chemstrand nor Chemgrass.
The missing values in the frequency table are x - representing the number of players that like both Chemstrand and Chemgrass, y - representing the number of players that like Chemgrass but do not like Chemstrand and z - representing the number of players likes Chemstrand but do not like Chemgrass.
The number of players that like both Chemstrand and Chemgrass is 13. The number of players that like Chemgrass but do not like Chemstrand is 17. The number of players likes Chemstrand but do not like Chemgrass is 15.
Therefore, x = 13, y = 17 and z = 15
Answer:
x = 2
Step-by-step explanation:
-10x + 9 = -11
-10x = -20
x = 2
Answer:
<em>z </em>= 9
Step-by-step explanation:
ln 63 = ln z + ln 7
We have the formula:
ln A + ln B = ln AB
So, ln 63 = ln 7<em>z</em>
7<em>z </em>= 63
Divide both sides by 7.
<em>z</em> = 9
