A population grows exponentially at the rate of 1.35%. How long (in years) will it take the population to double?

Approximately 51 years.

Step-by-step explanation: A population grows by changing exponentially over time, which can be mathematically demonstrated as:

where

P is the population after time

P₀ is initial population, when time = 0

r is a percentage rate of growth

t is time passed

In this case, we have to calculate the amount of time it has passed for a population to double, so :

Using Logarithm Rule :

t = 51.34

For a population with rate of 1.35%, it will take approximately 51 years to double.

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4