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

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 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 represented by the function $B(t)=82(1.029)^t$. (Round answers to the nearest whole number.)\

For the following exercises, use the median home values in Mississippi and Hawaii (adjusted for inflation) shown in Table. Assume that the house values are changing linearly.

$$\begin{array}{|c|c|c|} \hline \text { Year } & \text { Mississippi } & \text { Hawaii } \\ \hline 1950 & \$ 25,200 & \$ 74,400 \\ \hline 2000 & \$ 71,400 & \$ 272,700 \\ \hline \end{array}$$

If we assume the linear trend existed before 1950 and continues after 2000, the two states' median house values will be (or were) equal in what year? (The answer might be absurd.)

For the following exercise, use the graph in Figure 8, which shows the profit, y, in thousands of dollars, of a company in a given year, t, where t represents the number of years since 1980.

Find and interpret the slope.

For the following exercises, use the graph in Figure 7 which shows the profit, y, in thousands of dollars, of a company in a given year, t, where t represents the number of years since 1980 .

Find the linear function y, where y depends on t, the number of years since 1980.

Determine the amplitude, period, and phase shift of each function. Then graph one period of the function.

$$y = - 3 \cos ( x + \pi )$$

Determine the amplitude and period of each function.

$$g(\theta)=3 \cos \frac{1}{3}(3 \theta-6 \pi)$$

For the following exercises, find the horizontal intercepts, the vertical intercept, the vertical asymptotes, and the horizontal or slant asymptote of the functions. Use that information to sketch a graph. $g(x)=\frac{2 x^{2}+7 x-15}{3 x^{2}-14+15}$

Find the exact value. sin (π/6)

Convert the angle measures to radians.

Find the length of an arc in a circle of radius 7 meters subtended by the central angle of $85^{\circ}$.