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Bezzdna [24]
3 years ago
15

Write an equation for an exponential growth function where the initial population is 80 and the population quadruples during eac

h time period.
Mathematics
1 answer:
liq [111]3 years ago
6 0
f(t) = 80(4^t)

For each time period, each time "t" increases by one, the population will be multiplied by 4.
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Blake has a glass tank. First, he wants to put some marbles in it, all of the same volume. Then, he wants to fill the tank with
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Answer:

32 liters is the volume of the glass tank

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2 years ago
A manufacturer has been selling 1400 television sets a week at $450 each. A market survey indicates that for each $21 rebate off
GuDViN [60]

Correct question is;

A manufacturer has been selling 1400 television sets a week at $450 each. A market survey indicates that for each $21 rebate offered to a buyer, the number of sets sold will increase by 210 per week

A) Find the demand function (price p as a function of units sold x).

p(x)=______

(B) How large a rebate should the company offer the buyer in order to maximize its revenue?

$=_____

Answer:

A) p(x) = (-1/10)x + 590

B) Rebate = $170

Step-by-step explanation:

A) We are told that p(x) is the demand function and x is the number of TV sets sold per week.

Now, since for each $21 rebate offered, the number of sets sold increases by 210 per week, it means that the slope here of this demand function is; m = -21/210 = -1/10

Now, he has been selling 1400 TV sets a week at $450 each. This means; p(1400) = $450

Thus, the demand function will be;

p(x) - 450 = (-1/10)(x - 1400)

Expanding the RHS;

p(x) - 450 = (-1/10)x + 140

Add 450 to both sides to get;

p(x) = (-1/10)x + 140 + 450

p(x) = (-1/10)x + 590

B) Formula for revenue is;

R = price × quantity sold

Our demand function is p = (-1/10)x + 590

Making x the subject, we have;

x = 5900 - 10p

x is quantity sold.

Thus,

R = p(5900 - 10p)

R = 5900p - 10p²

Maximum price will occur at dR/dP = 0

Thus;

dR/dP = 5900 - 20p

At dR/dP = 0,we have;

20p = 5900

p = 5900/20

p = $280

Thus, rebate = 450 - 280 = $170

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Tasya [4]
The answer is x=11 !
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Answer: The Answer is D, 336 Meters squared.

Step-by-step explanation:

When you increase the dimensions of a right triangle by a scale factor of 4, you increase the area by a factor of 4 squared or 16.

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PLEASE HELP ASAP ILL GIVE BRAINLIEST
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it’s a because you need all those figures to make it happen
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