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Sedbober [7]
3 years ago
8

2y + 8y - 20 = 5 (y -2) simplify

Mathematics
2 answers:
morpeh [17]3 years ago
6 0

Answer:

2y + 8y - 20  =  5(y - 2) \\ 10y - 20 = 5y - 10 \\ 5y = 10 \\ y = 2 \\ thank \: you

dybincka [34]3 years ago
4 0

Answer:

y=2

Step-by-step explanation:

2y + 8y - 20 = 5 (y -2)

Combine like terms

10y -20 = 5(y-2)

Divide by 5

10y/5 -20/5 = 5/5(y-2)

2y -4 = y-2

Subtract y from each side

2y-y -4 =-2

y -4 = -2

Add 2 to each side

y-4+4 =-2+4

y =2

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4 years ago
A country's population in 1991 was 114 million. In 1997 it was 120 million. Estimate the population in 2014 using exponential gr
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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
Therefore:
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
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8 0
3 years ago
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4 0
3 years ago
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bekas [8.4K]

Answer:

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Step-by-step explanation:

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Distance between A and B: |A-B| = 2 , call this equation (1)

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3 0
3 years ago
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