Question

The population for a city is 94,083 and grows continuously at a rate of 5.5% each year. What is the approximate population in 32 years?

Answer 1

For this case we have the following equation exponentially:

$y = A (b) ^ t$

Where,

• A: initial population
• b: growth rate
• t: time in years

Then, replacing values ​​for 32 years we have:

$y = 94083 (1,055) ^ t\\y = 94083 (1,055) ^ {32}\\y = 521903$

Answer:

the approximate population in 32 years is:

$y = 521903$