To calculate the population after 9 years with a growth rate of 9% per year, you can use the formula for exponential growth:

P = P0 * (1 + r)^t

where:
P is the future population,
P0 is the initial population,
r is the growth rate (in decimal form), and
t is the time in years.

Here, P0 = 260,000, r = 9/100 = 0.09 (to convert percentage to a decimal), and t = 9.

Substituting these values into the formula gives:

P = 260,000 * (1 + 0.09)^9

Now, calculate the value inside the parentheses:

1 + 0.09 = 1.09

Then raise this to the power of 9:

1.09^9 ≈ 2.3674

Finally, multiply this by the initial population:

P = 260,000 * 2.3674 ≈ 615,124

So, the population of the city will be approximately 615,124 people after 9 years, rounded to the nearest whole number.

Question

To calculate the population after 9 years with a growth rate of 9% per year, you can use the formula for exponential growth:

P = P0 * (1 + r)^t

where:
P is the future population,
P0 is the initial population,
r is the growth rate (in decimal form), and
t is the time in years.

Here, P0 = 260,000, r = 9/100 = 0.09 (to convert percentage to a decimal), and t = 9.

Substituting these values into the formula gives:

P = 260,000 * (1 + 0.09)^9

Now, calculate the value inside the parentheses:

1 + 0.09 = 1.09

Then raise this to the power of 9:

1.09^9 ≈ 2.3674

Finally, multiply this by the initial population:

P = 260,000 * 2.3674 ≈ 615,124

So, the population of the city will be approximately 615,124 people after 9 years, rounded to the nearest whole number.

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