3) Los gastos de una familia ascienden a \( \$ 11250 \) en los 150 primeros días del año . ¿En cuánto debe disminuir el gasto diario para que el gasto total del año sea solo \( \$ 21900 \) ?

Número negativo que al elevarlo a la menos dos aumentado en uno da como resultado \( \frac{50}{49} \).

\( 1 \frac{2}{2} \) y \( 1 \frac{5}{a} \)

i) \( \left(2^{x+1}\right)^{2}=64 \)

A farmer has a herd of 540 dairy cows. The farmer plans to increase her herd to 1200 using a breeding programme. The dairy cows are expected to increase by \( 9 \% \) p.a. Calculate how long it will take to achieve the objective. Give your answer correct to the nearest year.

There are 10 people taking part in a raffle. Ann, Bob, Elsa, Hans, Jim, Kira, Lena, Omar, Ravi, and Soo. Suppose that prize winners are randomly selected from the 10 people. Compute the probability. of each of the following events. Event A: The first three prize winners are Elsa, Omar, and Lena, regardless of order. Event B: Jim is the first prize winner, Bob is second, and Hans is third. Write your answers as fractions in simplest form. \( P(A)= \)