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Georgia [21]
3 years ago
14

T/5=2.9 what is the solution?

Mathematics
1 answer:
Tom [10]3 years ago
6 0

Answer:

t=14.5, the next step for solving the equation would be to multiply both sides by 5.

Step-by-step explanation:

First the next step in the equation would be to multiply both sides by 5, this will then get you your answer

t/5=2.9

t/5×5=2.9×5

t=14.5

Therefore the next step would be to multiply both sides by 5, and then t=14.5

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Answer:

<em>It will take 9 years for the population to double</em>

Step-by-step explanation:

<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

P=P_o(1+r)^t

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The population of a city grows at a rate of r=8% = 0.08 per year. We are required to find when (t) the population will double, or P=2Po.

Substituting in the equation:

2P_o=P_o(1+0.08)^t

Simplifying:

2=(1.08)^t

Taking logarithms:

\log 2=\log (1.08)^t

Applying the exponent property of logs:

\log 2=t\log (1.08)

Solving for t:

\displaystyle t=\frac{\log 2}{\log (1.08)}

Calculating:

t\approx 9

It will take 9 years for the population to double

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