A89 Riparto diretto composto Nel mese di giugno, per festeggiare i 30 anni di vita della sua azienda, un imprenditore decide di assegnare a propri dipendenti un premio di 6.000 euro in proporzione all'età e agli anni di lavoro in azienda. Presso l'azienda lavorano: - Giovanni Pozzi, di 50 anni, con 26 anni di anzianità; - Laura Manfredi, di 45 anni, con 12 anni di anzianità; - Lucia Federici, di 32 anni, con 5 anni di anzianitá. Quanto riceve in premio ciascun dipendente?

Graph the quadratic equation. What is the vertex of the quadratic equation? (Simplify your answer. Type an ordered pair.) What is(are) the \( y \)-intercept(s), if they exist? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The \( y \)-intercept(s) is(are) \( \square \). (Simplify your answer. Type an ordered pair, using integers or fractions. Use a comma to separate answers as needed.) B. There are no \( y \)-intercepts.

19. Desenvolupa les potències següents i troba'n el seu terme sisè: \( \begin{array}{llll}\text { a) }(3-2 \sqrt{3})^{4} & \text { b) }\left(2 x+\frac{4}{3 x}\right)^{5} & \text { c) }(\sqrt{2}-2 \sqrt{3})^{9} & \text { d) }\left(3 a^{2}+2 a b\right)^{8}\end{array} \)

6. Julie gets a pre-paid cell phone. Initially she has a \( \$ 40.00 \) balance on the phone. Each minute of talking costs \( \$ 0.15 \). Let \( x \) stand for the amount of time in minutes that Julie has talked on the phone, and let \( f(x) \) stand for the remaining dollar value of the phone. a. Is \( f(x) \) a linear function or an exponential function? Explain how you know. its Line ar, becouse the rate stays wonstant. b. Find a function formula equation \( f(x)=-0.15+40 \) c. Find the value of \( f(0) \) and explain its meaning in terms of the cell phone.

Use the Gauss-Jordan method to solve the following systern of equations. \[ \begin{array}{l}2 x+7 y-z=0 \\ 5 x-4 y+2 z=1 \\ 7 x+3 y+z=1\end{array} \]

Economies of scale' refers to: a. The reallocation of labour from less productive to more productive uses. b. Public investments in highways, schools, utilities etc. c. The notion that small firms are less bureaucratic and, therefore, more efficient than corporations. d. The fact that large producers may be able to use more efficient technologies.