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gavmur [86]
3 years ago
9

What would the correct answer be

Mathematics
2 answers:
Nonamiya [84]3 years ago
8 0
I believe the answer is true!
Karo-lina-s [1.5K]3 years ago
4 0
Think it would be true although I don’t know what the transistive property is. 

Hope this helps!
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Suppose a population is growing by 8% each year. How many years will it take the population to double?
Doss [256]

ANSWER

\text{9 years}

EXPLANATION

We want to find the number of years that it will take the population to double.

To do this, we have to apply the exponential growth function:

y=a(1+r)^t

where y = final value

a = initial value

r = rate of growth

t = time (in years)

For the population to double, it means that the final value must be 2 times the initial value:

y=2a

Substitute the given values into the function above:

\begin{gathered} 2a=a(1+\frac{8}{100})^t \\ \frac{2a}{a}=(1+0.08)^t=1.08^t \\ 2=1.08^t \end{gathered}

To solve further, convert the function from an exponential function to a logarithmic function as follows:

\log _{1.08}2=t

Solve for t:

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It will take 9 years for the population to double.

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