Question 6 Brendan has \( \$ 65 \) worth of balloons and flowers delivered to his mother. He pays the bill plus an \( 8.5 \% \) sales tax and an \( 18 \% \) tip on the total cost including tax. He also pays a \( \$ 10 \) delivery fee that is charged after the tax and tip. How much change does he receive if he pays with two \( \$ 50 \) bills? Round to the nearest cent.

nuestre que si \( c \) es un número real no nega- y \( 0 \leq f(x) \leq c \) para todo \( x \), entonces \( x^{2} f(x)=0 \).

Use the properties of logarithms to expand the following expression. \[ \log \left(x^{5} \sqrt[3]{y^{2} z}\right) \] Each logarithm should involve only one variable and should not have any radicals or exponents. You may assume that all variables are positive.

1.2 Consider the following linear pattern: \( 3 x-7 ; 2 x ; 3 x+1 ; \ldots \) 1.2.1 Calculate the value of \( x \). 1.2.2 Write down the formula for the general term. 1.2.3 Hence or otherwise, determine the \( 11^{\text {th }} \) term of the sequence. 1.2.4 Which term of the sequence has the value of 94 ? 1.3 Write down the next TWO terms of the sequence: \( 1 ; 1 ; 2 ; 3 ; 5 ; 8 ; 13 \ldots \)

\( 2 ( 1 + 2 x ) - 8 x \geq - 7 , \quad x \in Z , \)

Translate the English expression into an equivalent mathematical expression written in symbols. Then simplify. 5 times the difference of 8 and 7 .