Consider this scenario: For each year $t$, the population of a forest of trees is represented by the function $A(t)=115(1.025)^t$. In a neighboring forest, the population of the same type of tree is represented by the function $B(t)=82(1.029)^t$. (Round answers to the nearest whole number.)

Which forest had a greater number of trees initially? By how many?

For the following exercise,

Consider this scenario: For each year $t$, the population of a forest of trees is represented by the function $A(t)=115(1.025)^t$. In a neighboring forest, the population of the same type of tree is represented by the function $B(t)=82(1.029)^t$. (Round answers to the nearest whole number.)

Which forest had a greater number of trees initially? By how many?

For the following exercises, consider this scenario: For each year $t$, the population of a forest of trees is represented by the function $A(t)=115(1.025)^t$. In a neighboring forest, the population of the same type of tree is Which forest had a greater number of trees initially? By how many?

For the following exercises, consider this scenario: For each year t, the population of a forest of trees is represented by the function $A(t)=115(1.025)^{t}.$ In a neighboring forest, the population of the same type of tree is represented by the function $B(t)=82(1.029)^{t}.$ (Round answers to the nearest whole number.) Assuming the population growth models continue to represent the growth of the forests, which forest will have a greater number of trees after 20 years? By how many?

Consider this scenario: For each year $t$, the population of a forest of trees is represented by the function $A(t)=115(1.025)^t$. In a neighboring forest, the population of the same type of tree is represented by the function $B(t)=82(1.029)^t$. (Round answers to the nearest whole number.)

Which forest's population is growing at a faster rate?

For the following exercises, consider this scenario: For each year $t$, the population of a forest of trees is represented by the function $A(t)=115(1.025)^t$. In a neighboring forest, the population of the same type of tree is represented by the function $B(t)=82(1.029)^t$. (Round answers to the nearest whole number.)
Assuming the population growth models continue to represent the growth of the forests, which forest will have a greater number of trees after 100 years? By how many?

For the following exercises, consider this scenario: For each year $t$, the population of a forest of trees is represented by the function $A(t)=115(1.025)^t$. In a neighboring forest, the population of the same type of tree is represented by the function $B(t)=82(1.029)^t$. (Round answers to the nearest whole number.)
Which forest's population is growing at a faster rate?

For the following exercise,

Identify whether the statement represents an exponential function. Explain.

The value of a coin collection has increased by $3.25 \%$ annually over the last $20$ years.

For the following exercise, identify whether the statement represents an exponential function. Explain.
The value of a coin collection has increased by $3.25 \%$ annually over the last 20 years.

For the following exercises, identify whether the statement represents an exponential function. Explain. The value of a coin collection has increased by 3.25% annually over the last 20 years.

Kyoko has $10,000 that she wants to invest. Her bank has several investment accounts to choose from, all compounding daily. Her goal is to have$15,000 by the time she finishes graduate school in 6 years. To the nearest hundredth of a percent, what should her minimum annual interest rate be in order to reach her goal?

Use like bases to solve the exponential equation.

$$\left(\frac{1}{64}\right)^{3 n} \cdot 8=2^6$$

Rewrite each equation in exponential form.

$$\log _y(x)=-11$$

Make tables to show the behavior of the function near the vertical asymptote and reflecting the horizontal asymptote

$$f(x)=\frac{x}{x-3}$$