An initial investment amount \( P \), an annual interest rate \( r \), and a time \( t \) are given. Find the future value of the investment when the interest is compounded (a) annually, (b) monthly, (c) daily, and (d) continuously. Then find (e) the doubling time \( T \) for the given interest rate. Round to the nearest cent or nearest tenth of a year as needed. \( P=\$ 1500, r=3.25 \%, t=5 \mathrm{yr} \)

\( 5400 g + 1.35 kg + 1 kg 50 g = \ldots \ldots \ldots \ldots kg \)

(1 point) Solve \( 4 x^{2}-9 x-9=0 \) by factoring. If there is more than one correct answer, enter a comma separated list. \( x=\square \) help (numbers)

Find the indicated intercept(s) of the graph of the function. \[ \begin{array}{l}\mathrm{x}(x)=\frac{2 x+9}{x-3} \\ y-\text { intercept } \\ \text { Write your intercepts as ordered pairs. }\end{array} \] \( x \) - intercept

27. \( y \geqslant \frac{x}{2}, y \leqslant 2 x \) and \( x+y \leqslant 8 \)

Given the function \( P(x)=(x-3)^{2}(x-8) \), find the following: a) \( y \)-intercept as an ordered pair: \( (0,-72) \) b) \( x \)-intercepts as ordered pairs: \( (8,0) \) c) When \( x \rightarrow \infty, f(x) \rightarrow \infty \) d) When \( x \rightarrow-\infty, f(x) \rightarrow-\infty \)