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MAVERICK [17]
3 years ago
7

Consider 7 x 10 to the 3rd power write a pattern to find the value of the expression

Mathematics
1 answer:
Paraphin [41]3 years ago
4 0

Answer:

7 x 10^3

Step-by-step explanation:

7 x 10 x 10 x 10


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A car rental agency has 150 cars. The owner finds that at a price of $48 per day, he can rent all the cars. For each $2 increase
hram777 [196]
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>
3 0
3 years ago
Amber received an end of year bonus of $2500 at work, and went on a shopping spree. She spent $125 at the department store, $345
Ostrovityanka [42]

Answer: $2,009

Step-by-step explanation:

345 + 125 = 470

470 + 21 = 491

2,500 - 491 = 2,009

6 0
3 years ago
Read 2 more answers
Look at the angles marked a, b, c and d.
Sergio [31]

Answer:

acute angle : C

reflex angle : B

right angle : D

obtuse angle : A

5 0
3 years ago
The human body consist 1/10 hydrogen 16/25 oxygen 1/5 carbon
JulsSmile [24]

Answer:

ok? whats the question Imao

Step-by-step explanation:

7 0
3 years ago
What is 36x - 8y^2 when x=3 and y=-6?
max2010maxim [7]

Answer:

-180

Step-by-step explanation:

Substitute each number in and get 36(3) - 8(-6)^2

Simplify for -180

3 0
3 years ago
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