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kolezko [41]
3 years ago
13

Sion 5(7 - 4)2 + 3+ 11.

Mathematics
1 answer:
netineya [11]3 years ago
3 0

Answer:

44

Step-by-step explanation:

use the order of operations

5 (3) 2 + 3 + 11. solve within parenthesis

15 × 2 + 3 + 11. multiply left to right

30 + 3 + 11. multiply left to right

33 + 11. add left to right

44. add

the order of operations is more commonly known as PEMDAS.

(parenthesis, exponents, multiply and divide, add and subtract)

If you are still confused there is a Brain Pop about PEMDAS. just search "order of operations" on the brain pop website

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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
(48 + 2x) \times (150 - 4x)=7,200+108x-8x^2.

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
5(150-4x)=750-20x

Profit is given by revenue - cost.
Thus, the profit from renting cars is given by
</span><span>(7,200+108x-8x^2)-(750-20x)=6,450+128x-8x^2

For maximum profit, the differentiation of the profit function equals zero.
i.e.
</span><span>\frac{d}{dx} (6,450+128x-8x^2)=0 \\  \\ 128-16x=0 \\  \\ x= \frac{128}{16} =8

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>
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