The Frog Population in a Pond Grows Exponentially $235$ Frogs, and the Relative Growth Rate Is

question 94

Essay

The frog population in a pond grows exponentially. The current population is $235$ frogs, and the relative growth rate is $12 \%$ per year.
(a) Find a formula for the population $n ( t )$ after $t$ years.
(b) Find the projected population after $5$ years.
(c) Find the number of years required for the frog population to reach $1000$ . 

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Definitions:

Simple Squamous Epithelium

A single layer of flat cells lining surfaces where diffusion or filtration occurs, such as the alveoli in the lungs.

Alveoli

Tiny air sacs within the lungs where the exchange of oxygen and carbon dioxide between the air in the lungs and the blood in the capillaries takes place.

Diffusion

The movement of particles from an area of higher concentration to an area of lower concentration.

Contractions of the Stomach

Rhythmic contractions of the stomach muscles that help in mixing and breaking down food as part of the digestive process.