An eReader factory has revenues which follow the formula R=x squared + 2400x - 1,320,000, Where x is the number of eReaders sold each month. If thefactory had $80,000 in revenue last month and only has the resources to produce up to 1300 eReaders in a single month, how many eReaders were sold? Show all steps and answers

Answers

Answer 1

Answer:
If the revenue last month was 80,000, then

   80,000 = x² + 2,400x - 1,320,000

That's the only glimmer of intelligence required to answer this question.
The rest is all a matter of solving this quadratic equation.

Subtract 80,000 from each side: x² + 2,400x - 1,400,000 = 0

This ugly thing may be factorable, but I'm not going to wander around
looking for factors. I'm going straight to the quadratic formula.
With that, I get the solutions:

   x = -1200 + or - √2,840,000

   x = 485.2
and
   x = -2,885.2

The solution that has physical significance is the first one: 485 .

When I saw the requirement that the answer must be 1300 or less,
I expected to find that both solutions to the quadratic equation were
positive, and that one of them was greater than 1300. But that didn't
happen. 485 (rounded) is the only positive solution. That's my answer,
and I'm sticking to it.

Related Questions

X+9/x^3-9x^2+15x+25how do I solve this
Using the square root property: How would I solve this equation- (2x-3) Squared =18
What is 165 as a mixed number
Can this be simplified
Eric has seventeen candy bars, he gives Debra five. How many candy bars does Eric have now?

Let the random variable X represent the winnings at one play of game A. The mean, H. Of X is known to be -$0.42 and its standard deviation, o, is $0.26. Let the random variable Y represent the winnings at one play of game B. The mean, , of Y is known to be -$0.42 and its standard deviation, o, is $0.21. You have decided to play one of these two games just once. At which game are you more likely to make a profit (i.E., to not lose money)? Explain your thinking.

Answers

Answer:

345

Step-by-step explanation:

i know it not

Answer:

565$

Step-by-step explanation:

Y because he got more money

Find the value of 2 in this equation.

33- (8t) = 15

Answers

33 - 8t = 15
-8t = 15 - 33
-8t = -18
t = -18 / -8
t = 2.25

33-8t=15
33-15=8t
18=8t
18/8=t
t=2.25

Skye's two new aquariums each hold exactly 200 gallons of water. One aquarium will hold small fish and the other will hold large fish. Now hew needs new fish for his aquariums. She will buy 5 small fish for every 10 gallons of water in the aquarium. She will buy 8 large fish for every 40 gallons of water in the aquarium. What is the total number of fish Skye will have?

Answers

Answer=140 fish

200 gallons of water in the first aquarium.

200 gallons of water in the second aquarium.

The first will be for the small fishes.

5 small fish x fish
_____________=__________
10 gallons 200 gallons

cross multiply
10x=1000
divide both sides by 10
x=100 small fish

The first aquarium has 100 small fish.

The second aquarium holds large fish.

8 large fish x fish
____________=___________
40 gallons 200 gallons

cross multiply
40x=1600
divide both sides by 40
x=40 large fish

The second aquarium has 40 large fish.

100small fish+40 large fish=140 total fish

In terms of the first aquarium, the number of small fish Skye will have is:
200 gallons of water* (5 small fish/ 10 gallons of water)= 100 small fish.

In terms of the second aquarium, the number of large fish Skye will have is:
200 gallons of water* (8 large fish/ 40 gallons of water)= 40 large fish.

The total number of fish Skye will have is:
100 fish+ 40 fish= 140 fish.

Final answer: 140 fish.

Hope this would help~

A coat usually cost 123 but is marked 1/3 off

Answers

if it is marked 1/3 off, then u r actually paying 2/3 of it.
2/3 of 123....." of " means multiply
2/3 * 123 = 246/3 = 82....so it now costs $ 82

Can somebody possibly solve this???Consider a rectangle, for which perimeter = 2l+2w. perimeter = 2 l + 2 w . If the length of a rectangle is 5 m or less than twice the width, and the perimeter is 44 m long, find its length and width.

Answers

Final answer:

To determine the length and width of a rectangle, we can set up an equation using the given information and solve for the variables. By substituting the width back into the equation for the length, we find that the width is 9 meters and the length is 13 meters.

Explanation:

To solve this problem, we can start by using the given information to create equations. Let's assume that the width of the rectangle is 'w' meters. According to the problem, the length of the rectangle is 5 meters or less than twice the width, so the length can be represented as 2w - 5 meters.

The formula to calculate the perimeter of a rectangle is 2l + 2w, where 'l' is the length and 'w' is the width. We are given that the perimeter is 44 meters, so we can set up the equation as follows:

2(2w - 5) + 2w = 44

Simplifying the equation, we get:

4w - 10 + 2w = 44

Combining like terms, we have:

6w - 10 = 44

Next, we can isolate the variable by adding 10 to both sides:

6w = 54

Finally dividing both sides by 6, we find that:

w = 9

Therefore, the width of the rectangle is 9 meters. Substituting this value back into the equation for the length, we find:

l = 2w - 5 = 2(9) - 5 = 18 - 5 = 13 meters.