2 years ago

Complete the sentence. 5000 thousand is 1/10 of a what

Mathematics

1 answer:

Delicious77 [7]2 years ago

3 0

Answer:

50,000

Step-by-step explanation:

5000*10

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A countrys population in 1990 was 145 million. In 1998 it was 151 million. Estimate the population in 2015 using the exponential

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Answer:

The population in 2015 will be 165 million.

Step-by-step explanation:

The exponential growth formula is given by:

$f(t) = a(1 + r)^{\Delta t}$

Where:

a: is the initial population

r: is the rate of increase

Δt: is the time

With the initial information we can find the rate:

$151 = 145(1 + r)^{1998-1990}$

Using logarithm:

$ln(151) = ln(145) + 8[ln(1 + r)]$

$ln(1 + r) = \frac{ln(151) - ln(145)}{8}$

$ln(1 + r) = 5.0683 \cdot 10^{-3}$

Using exponential:

$e^{ln(1 + r)} = e^{5.0683 \cdot 10^{-3}}$

$r = 5.081 \cdot 10^{-3}$

Now, we can find the estimated population in 2015:

$f(t) = 151(1 + 5.081 \cdot 10^{-3})^{2015-1998}$

$f(t) = 165$

Therefore, the population in 2015 will be 165 million.

I hope it helps you!

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