Chapter 2: Problem 40
DISTRIBUTIVE PROPERTY Use the distributive property to rewrite the expression without parentheses. $$ -9(a+6) $$
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INVESTING MONEY You receive \(\$ 5000\). You decide to invest the money in a one-year bond paying \(2 \%\) interest and in a one-year certificate of deposit paying \(6 \%\) interest. \- Let \(m\) represent the amount of money invested in the one-year bond. Write a function that represents the total amount of money \(T\) that you have after one year. Simplify the function.
LOGICAL REASONING Decide whether the statement is true or false If false, rewrite the right-hand side of the equation so the statement is true. $$ 7(15-6) \geq 7(15)-7(6) $$
DISTRIBUTIVE PROPERTY Use the distributive property to rewrite the expression without parentheses. $$ 3(x+4) $$
COMBINING LIKE TERMS Apply the distributive property. Then simplify by combining like terms. $$ -4(y+2)-6 y $$
LEAVING A TIP In Exercises \(83-85\), use the following information. You and a friend decide to leave a \(15 \%\) tip for restaurant service. You compute the tip, \(T,\) as \(T=0.15 C,\) where \(C\) represents the cost of the meal. Your friend claims that an easier way to mentally compute the tip is to calculate \(10 \%\) of the cost of the meal plus one half of \(10 \%\) of the cost of the meal. Simplify the equation. What property did you use to simplify the equation?
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