Give the slope and \( y \)-intercept of the line whose equation is given. Then graph the linear function. A. The slope is \( \square \). (Simplify your answer. Type an integer or a fraction.) A. The slope is undefined. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The \( y \)-intercept is \( \square \). (Simplify your answer. Type an integer or a fraction.) B. There is no \( y \)-intercept. Use the graphing tool to graph the equation. Click to enlarge necessary, fill in the answer box to complete your choice. graph

Divide using the long division method. \( \frac{a^{4}-81}{a-3}=\square \)

11 Cupcakes cost 70 p each. Boxes cost 30 p each. The cost of \( n \) cupcakes and two boxes is \( £ 4.8 \) Find the value of \( n \).

An amount of \( \mathrm{R} 8000,00 \) is invested at the beginning of a year at a certain simple rate of interest. After eight months, another amount of R1 164,00 is invested in a second account at a simple interest rate twice the former. At the end of the year, R 903,00 is earned as simple interest from both investments. What is the original simple yearly rate of interest, rounded to two decimal places?

13. Line \( a \) passes through points \( (2,-3) \) and \( (6,9) \). Line \( b \) passes through points \( (0,9) \) and \( (2,3) \)

A certain small country has \( \$ 10 \) billion in paper currency in dirculation, and each day \( \$ 50 \) million comes into the country's ba amount of new currency (in billions of dollars) in circulation at time \( t \) (in days), with \( x(0)=0 \). (a) Formulate a mathematical model in the form of an initial-value problem that represents the "flow" of the new currency \( x(0)= \) (b) Solve the initial-value problem found in part (a). (c) How long will it take for the new bills to account for \( 90 \% \) of the currency in circulation? (Round your answer to the near years