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AleksAgata [21]
2 years ago
15

The following table gives projections of the

Mathematics
1 answer:
stellarik [79]2 years ago
8 0

The function that models the growth of the population is P = 276.6e^0.009t

<h3>What is the function?</h3>

We can see that the table shows the increase in population over time. We know that population growth is an example of exponential function. We have to apply the formula of exponential function.

Let us now obtain the function that could show the population at each time;

Given that;

Po = initial population

P = population at time t

r = rate of population growth

P = Poe^rt

P = 305.9

r = ?

t = 10

Po = 276.6

Substituting values;

305.9 = 276.6e^10r

305.9/276.6 = e^10r
1.1 = e^10r

ln 1.1 = 10r

r = ln1.1/10

r = 0.009

Thus the function is;

P = 276.6e^0.009t

Learn more about population growth:brainly.com/question/18415071

#SPJ1

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Rebotar Inc.makes basketballs.Their fixed costs are $3,450.
melomori [17]

Answer:

<em>Since the profit is positive, Rebotar not only broke even, they had earnings.</em>

Step-by-step explanation:

<u>Function Modeling</u>

The costs, incomes, and profits of Rebotar Inc. can be modeled by means of the appropriate function according to known conditions of the market.

It's known their fixed costs are $3,450 and their variable costs are $12 per basketball produced and sold. Thus, the total cost of Rebotar is:

C(x) = 12x + 3,450

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It's also known each basketball is sold at $25, thus the revenue (income) function is:

R(x) = 25x

The profit function is the difference between the costs and revenue:

P(x) = 25x - (12x + 3,450)

Operating:

P(x) = 25x - 12x - 3,450

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If x=300 basketballs are sold, the profits are:

P(300) = 13(300) - 3,450

P(300) = 3,900 - 3,450

P(300) = 450

Since the profit is positive, Rebotar not only broke even, they had earnings.

8 0
2 years ago
In ΔCDE, the measure of ∠E=90°, the measure of ∠D=23°, and EC = 1.3 feet. Find the length of DE to the nearest tenth of a foot?
Rina8888 [55]

Answer:

DE = 1.2ft

Step-by-step explanation:

It's actually a lot easier for someone to just draw a diagram. I recommend it in the future!

This is a right-angle triangle, so I'm guessing it's Sohcahtoa.

cos23° = DE/1.3

DE = 1.3cos 23°

DE = 1.1966...

Rounded:

DE = 1.2

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Each person in the United States eats about 65 fresh apples each year. Based on this, how many apples do 3 families of 4 eat eac
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Simplify your answer
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Answer:

11t-8

Step-by-step explanation:

19t-9+(-8t)+1

19t-9-8t+1

11t-8

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