Given that for each <span>$2 increase in price, the demand is less and 4 fewer cars are rented.
Let x be the number of $2 increases in price, then the revenue from renting cars is given by

.
Also, given that f</span><span>or each car that is rented, there are routine maintenance costs of $5 per day, then the total cost of renting cars is given by

Profit is given by revenue - cost.
Thus, the profit from renting cars is given by
</span><span>

For maximum profit, the differentiation of the profit function equals zero.
i.e.
</span><span>

The price of renting a car is given by 48 + 2x = 48 + 2(8) = 48 + 16 = 64.
Therefore, the </span><span>rental charge will maximize profit is $64.</span>
Answer:
2.54379284 hp.
Step-by-step explanation: Torque is defined as the engines rotational force. First we find the distance = m in equation- then we use the formula Power = work/time = 16.7/ 5 = 3.34 and Horsepower formula is given by. Horsepower = (Torque × Speed) / 5252. HP = (3.34 × 4000) / 5252. HP = 13360/5252. HP = 2.54379284 hp.
Given : W=4000 m=? h=20 m
Time of operation t =5 s
Work done in lifting a box W=mgh= ? ×12×20=4000 = m = 4000/240=16.6666667 = 16.7KG
Power required P= W/t = w/p = 120000/120 =1000 watts We divide 60/5 = 120 then divide by 10 = 12 (being g)
If the paint is 30% yellow, and you used 72 ounces of yellow, all you have to do is divide 72 by 30% to get the whole amount of ounces of paint made.
72 ÷ 0.30 = 240
In the last batch, you made 240 ounces of melon madness paint.
First, you need to distribute the right side of the equation : 8n - 2
Now the equation is : 20 - 7n = 8n - 2
Add 2 to both sides : 22 - 7n = 8n
Add 7n to both sides : 22 = 15n
Divide both sides by 15 : ( I had to round this one) 1.5 = n