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Blababa [14]
3 years ago
13

The population of a town is 8600 and is growing 3% a year. What will the population be after 3 years

Mathematics
2 answers:
Luba_88 [7]3 years ago
6 0
The formula for this question is P(n) = P*(1+r)^n

So the initial population is 8600 or P, and n can be the number of years. r is the rate it grows, 3% or 0.03.

Plug in these values
P = 8600
r = 0.03
n = 3 

into P(n) = P*(1+r)^n
wel3 years ago
4 0
Multiply 8600 by .03 and add the number to 8600, do this 3 times and you will get the final population after 3 years
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What is the solution set for 5x&gt;15?
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At the movie theater,the Clayton family bought 4 fountain drinks and 3 bags of popcorn and paid $22.75.how much is a fountain dr
Anna35 [415]
<h3><u>Question:</u></h3>

At the movie theater , the Clayton family bought 4 fountain drinks and 3 bags of popcorn and paid $22.50.  The Hanks family bought 5 fountain drinks and 2 bags of popcorn and paid $23.75.  How much is a fountain drink?  How much is a bag of popcorn ?

<h3><u>Answer:</u></h3>

Cost of 1 fountain drink is $ 3.75 and cost of 1 bag of popcorn is $ 2.5

<h3><u>Solution:</u></h3>

Let "f" be the price of 1 fountain drink

Let "p" be the price of 1 bag of popcorn

Given that Clayton family bought 4 fountain drinks and 3 bags of popcorn and paid $22.50

4 x price of 1 fountain drink + 3 x price of 1 bag of popcorn = 22.50

4 \times f + 3 \times p = 22.50

4f + 3p = 22.5 -------- eqn 1

Also given that Hanks family bought 5 fountain drinks and 2 bags of popcorn and paid $23.75

5 x price of 1 fountain drink + 2 x price of 1 bag of popcorn = 23.75

5 \times f + 2 \times p = 23.75

5f + 2p = 23.75 -----------------eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Multiply eqn 1 by 2

2(4f + 3p = 22.5)

8f + 6p = 45 -------- eqn 3

Multiply eqn 2 by 3

3(5f + 2p = 23.75)

15f + 6p = 71.25 --------- eqn 4

<em><u>Subtract eqn 3 from eqn 4</u></em>

15f + 6p = 71.25

8f + 6p = 45

( - ) -------------------

7f = 26.25

f = 3.75

<em><u>Substitute f = 3.75 in eqn 1</u></em>

4(3.75) + 3p = 22.5

15 + 3p = 22.5

3p = 22.5 - 15

3p = 7.5

p = 2.5

Thus cost of 1 fountain drink is $ 3.75 and cost of 1 bag of popcorn is $ 2.5

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