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ladessa [460]
3 years ago
14

In 2002, the population of a district was 22,800. With a continuous annual growth rate of approximately 5% what will the populat

ion be in 2012 according to the exponential growth function?
Mathematics
1 answer:
Lisa [10]3 years ago
8 0

Answer:

37,139

Step-by-step explanation:

Given the following :

Population in 2002 = Initial population (P0) = 22,800

Growth rate (r) = 5% = 0.05

Growth in 2012 using the exponential growth function?

Time or period (t) = 2012 - 2002 = 10years

Exponential growth function:

P(t) = P0 * (1 + r) ^t

Where P(t) = population in t years

P(10) = 22800 * (1 + 0.05)^10

P(10) = 22800 * (1.05)^10

P(10) = 22800 * 1.62889

P(10) = 37138.797

P(10) = 37,139 ( to the nearest whole number)

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Directions: Calculate the percent increase or decrease between the starting and ending
Sveta_85 [38]

I'll do the first two to get you started

===============================================

Problem 1

A = 3 = starting value

B = 10 = ending value

C = percent change

C = [ (B - A)/A ] * 100%

C = [ (10-3)/3 ] * 100%

C = (7/3) * 100%

C = 2.3333333 * 100%

C = 233.33333%

C = 233.3%

The positive C value means we have a percent increase. If C was negative, then we'd have a percent decrease.

<h3>Answer: 233.3% increase</h3>

===============================================

Problem 2

A = 9 = start value

B = 20 = end value

C = percent change

C = [ (B - A)/A ] * 100%

C = [ (20-9)/9 ] * 100%

C = (11/9)*100%

C = 1.2222222222*100%

C = 122.22222222%

C = 122.2%

<h3>Answer: 122.2% increase</h3>
7 0
3 years ago
Read 2 more answers
Estimate the answer for 753 - 289
denis23 [38]

Answer:

464 or 460

Step-by-step explanation:

464 is the actual answer but if you were to estimate I would go with 460

8 0
3 years ago
You invest in a new play. The cost includes an overhead of $30,000, plus production costs of $2500 per performance. A sold-out p
Alchen [17]

Answer: 48 sold-out performances must be played in order for you to break even.

Step-by-step explanation:

Let x represent the number of sold-out performances must be played in order for you to break even.

You invest in a new play. The cost includes an overhead of $30,000, plus production costs of $2500 per performance. This means that the total cost of x sold out performances would be

2500x + 30000

A sold-out performance brings you $3125. This means that he total revenue from x sold out performances would be

3125x

To break even, cost = revenue

Therefore,

2500x + 30000 = 3125x

3125x - 2500x = 30000

625x = 30000

x = 30000/625

x = 48

8 0
3 years ago
I don’t know how to do this. Ignore my work it’s probably wrong. Please help.
wariber [46]

Check the picture below.

A)

well, we start off by making a table of values for the function, with a few "t" values, as you see in the picture, then graph those points to get the graph.

B)

at t = 0, h(0) = 98, and at t = 1, h(1) = 82, so it went from 98 to 82, for a difference of 16.

C)

at t = 1, h(1) = 82, and at t = 2 h(2) = 34, so it went from 82 to 34, for a difference of 48.

does it fall the same distance on both intervals? well, they're different, so nope.

6 0
3 years ago
I will give points for geometry question
zavuch27 [327]

Answer:

9m, 12m, 15m

Step-by-step explanation:

6 0
2 years ago
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