The yearbook club has 5 members returning from last year. They set up a booth in the cafeteria to recruit more members, and an average of 3 new members sign up each day. Which best describes why the graph relating the total number of members on the yearbook club, \( m \), and the number of days the booth is set up, \( d \), will be continuous or discrete? The graph will be continuous because an end day for the booth being set up is not given in the description. The graph will be continuous because there can be any number of people signing up each day since we are only given the average. The graph will be discrete because some day the number of available people to sign up for the club will run out. The graph will be discrete because there is no such thing as a partial person to sign up and the booth is set up once each day for sign ups.

2. jika \( p: x=100 \) bilangan genap; dan \( q \) : sisa hasil bagi 100 dibagi \( 2=0 ; r \) : bilangan ganjil mempunyai hasil bagi dengan \( 2=0 \). Tentukan nilai kebenaran untuk hasil proposisi majemuk berikut: \( \begin{array}{ll}\text { a. }(p \wedge q) \rightarrow r & \text { b. } \sim p \vee \sim(q \leftrightarrow r)\end{array} \)

Determine whether the series is convergence of divergent. If it is convergent. Find the sum \( \frac{2}{3}+\frac{3}{4}+\frac{2}{27}+\frac{3}{16}+\frac{2}{243}+\frac{3}{64}+\cdots \)

Find the amount of an investment of \( \$ 4,000 \) at \( 5 \% \) annual interest, compounded monthly, after 6 years. If \( \$ 10,000 \) is invested at \( 9 \% \) annual interest compounded quarterly, what will the value be after 8 years? How much will \( \$ 3,000 \) be worth after 10 years if it invested at \( 7 \% \) interest compounded semi-annually? Find the future value of an investment of \( \$ 6,000 \) at an annual interest rate of \( 5 \% \), compounded daily, for 4 years

7. Tamara tiene 70 chocolates para vender. La ganancia que obtiene se puede calcular mediante la función \( g(c)=150 c-300 \), donde \( c \) representa la cantidad de chocolates vendidos. a. ¿Cuál es el dominio de la función? b. ¿Cuál es el recorrido de la función? c. ¿Cuántos chocolates debe vender Tamara como minimo para obtener ganancias? e. Si Tamá puede significar el número vende todos los chocolates, ¿cuánto dinero gana? función que representa la ganancia? e.

\( \begin{array}{ll}\text { a) } \frac{2}{5} x+4=\frac{1}{2} & \text { c) } \frac{2}{5} x+\frac{4}{5}=\frac{1}{2} \\ \text { b) } \frac{2}{5} x-4=\frac{x}{2} & \text { d) } \frac{2}{5} x-\frac{4}{5}=\frac{x}{2}\end{array} \)