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nekit [7.7K]
3 years ago
11

12

Mathematics
2 answers:
zysi [14]3 years ago
4 0

Answer:

A) 700 minutes

Step-by-step explanation:

50 + 0.25x = 225

0.25x = 175

x = 700

Let me know if you have questions

just olya [345]3 years ago
3 0

Answer:

700 MINUTES

Step-by-step explanation:

Your initial fee is $50.00 so you must subtract $50.00 from $225.00 which will give you $175.00, then you will divide $175.00 by 0.25 per minute, you should end up with 700, which will be 700 minutes.  

$225.00 - $50.00 = $175.00

$175.00 divided by $0.25 = 700 minutes

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The answer is 138 million.

Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.

We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time

Step 1:
A = 120 million = 120 000 000
P = 114 million = 114 000 000
n = ?
x = 1997 - 1991 = 6
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120 000 000 = 114 000 000 * e ^{n*6} \\ e ^{n*6} =120 000 000 /114000000 \\ e ^{n*6} =1.05 \\
Logarithm both sides of the equation:
ln(e ^{n*6})=ln(1.05) \\ n*6*ln(e) = ln(1.05) \\ 6n=ln(1.05) \\ n = \frac{ln(1.05)}{6} \\ n = \frac{0.05}{6} \\ n = 0.0083

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2014
A = ?
P = 120 000 000
n = 0.0083
t = 2014 - 1997 = 17
A = 120 000 000 * e ^{0.0083*17}  \\ 
A = 120 000 000 * e^{0.1411}   \\ 
A = 120 000 000 * 1.15 \\ 
A = 138 000 000

Thus, the population will be 138 million in 2014

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