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Y_Kistochka [10]
3 years ago
13

The estimate to 145.4 ÷21

Mathematics
2 answers:
Fiesta28 [93]3 years ago
5 0

Answer: The answer to the problem is 6.29

horrorfan [7]3 years ago
3 0

Answer:

the answer is 6.29

Step-by-step explanation:

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A country's population in 1991 was 136 million. In 2000 it was 141 million. Estimate the population in 2016 using the exponentia
katrin [286]
The answer is 150 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 = 141 million = 141 000 000
P = 136 million = 136 000 000
n = ?
x = 2000 - 1991 = 9
Therefore:
141 000 000 = 136000 000 * e ^{n*9} \\ e ^{n*9} =141000 000 /136000000 \\ e ^{n*9} =1.04

Logarithm both sides of the equation:
ln(e ^{n*9})=ln(1.04) \\ n*9*ln(e) = ln(1.04) \\ 6n=ln(1.04) \\ n = \frac{ln(1.04)}{9} \\ n = \frac{0.04}{9} \\ n = 0.004

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2016
A = ?
P = 141 000 000
n = 0.004
t = 2016 - 2000 = 16
A = 141 000 000 * e ^{0.004*16} \\ A = 141000 000 * e^{0.0640} \\ A = 141000 000 * 1.066\\ A = 150306 000

Thus, the population will be nearly 150 million in 2016
7 0
4 years ago
7. what is the measure of angle E?
Y_Kistochka [10]
The measure of angle E is 70, but that is if angle D and F are the same
4 0
3 years ago
Read 2 more answers
100 points!!!!<br>Solve for a<br>7a - 2b = 5a + b<br>a = 2b<br>a = 3b<br>a = 3/2b <br>a=2/3b​
Llana [10]

Answer:

Therefore solution for a is

a=\frac{3b}{2}

Step-by-step explanation:

Given:

7a - 2b = 5a + b

To Find:

a = ?

Solution:

7a - 2b = 5a + b    .................Given

First take all the 'a' terms to the left hand side and 'b' terms to the right-hand side of the equation,

∴ 7a-5a=2b+b\\\\2a=3b

Now dividing by 2 on both the side we get

∴ \frac{2a}{2} =\frac{3b}{2} \\\\\therefore a=\frac{3b}{2}

Therefore solution for a is

a=\frac{3b}{2}

5 0
3 years ago
−sin^2 θ+cos^2 θ=sinθ+1
Brut [27]
Drjbvfdlkx dvdgshskslslslavf
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3 years ago
How would I write and addition equation for Question 6
vesna_86 [32]
27+56=83 IDK I GUESS THATS YOUR ANSWER
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