Whats the G.C.F for 25 and 40 help me

Mathematics

1 answer:

Kisachek [45]2 years ago

6 0

Answer:

Step-by-step explanation:

G.C.F means greatest common factor

this means the highest number that will go into both 25 and 40

5 is the highest number that will divide into both

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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

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4 years ago

Nikki and her family are traveling to Geneva for winter holiday, and it is going to be cold! Today’s forecast says that Geneva i

Ne4ueva [31]

Answer:

San Francisco

Step-by-step explanation:

Geneva is -3 °C. Nikki's hometown will be 12° warmer, or +9 °C. The city in the table with that temperature is San Franscisco.

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3 years ago

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