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Home Question Bank Math Algebra Archive 2024 December 15

Algebra Questions from Dec 15,2024

Browse the Algebra Q&A Archive for Dec 15,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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The manager of a 70 -unit apartment complex is trying to decide what rent to charge. Experience has shown that at a rent of \( \$ 850 \) all of the units will be full. On average, one additional unit will be vacant for each \( \$ 25 \) increase in rent. Answer parts (a) through (e) below. The maximum revenue will happen when \( x=18 \). (Round to the nearest whole number as needed.) (e) What is the maximum revenue? The maximum revenue is \( \$ \square \). (Round to the nearest whole number as needed.) Solve \( x^{2}+4 x-3=0 \) by completing the square. iquation,\( a=1 \), \( b=4, c=-3 \) The manager of a 70 -unit apartment complex is trying to decide what rent to charge. Experience has shown that at a rent of \( \$ 850 \) all of the units will be full. On average, one additional unit will be vacant for each \( \$ 25 \) increase in rent. Answer parts (a) through (e) below. (d) What value of \( x \) leads to maximum revenue? The maximum revenue will happen when \( x=\square \). (Round to the nearest whole number as needed.) (e) What is the maximum revenue? The maximum revenue is \( \$ \square \) The manager of a 70 -unit apartment complex is trying to decide what rent to charge. Experience has shown that at a rent of \( \$ 850 \) all of the units will be full. On average, one additional unit will be vacant for each \( \$ 25 \) increase in rent. Answer parts (a) through (e) below. (a) Let \( x \) represent the number of \( \$ 25 \) increases. Find an expression for the rent for each apartment. Th) Find an expression for the number of apartments rented. The number of apartments rented is given by \( \square \). (c) Find an expression for the total revenue received from all rented apartments. \( R(x)=\square \) 5. \( x^{3}+5 x^{2} \leq 0 \) 2) (VALOR: 2,0) Verificar se o conjunto dos números ímpares é ideal de \( (\mathbb{Z}, \oplus, \otimes) \) em que \( a \oplus b= \) \( a+b-1 \) e \( a \otimes b=a+b-a b \). plify \( (5+\sqrt{5})(5-\sqrt{5}) \) \( \begin{array}{c}f(y)=y^{2} \\ g(y)=y+20\end{array} \) Find the \( y \)-coordinates of the points of intersection. (Enter your answers as a comma-separated list.) \( y=\square \) Write the definite integral that represents the area of the bounded region. 6- \[ \sqrt{3}(\sqrt{3}-\sqrt{10}) \] 9. You work at a store selling cell phones. You earn \( \$ 150 \) per week plus \( \$ 20 \) for each cell phone that you sell. a. Write and solve an inequality that represents the number of cell Inequality: Steps: Solution: b. The company poll to make at least \( \$ 630 \) a week. can earn each week is \( \$ 950 \). Write and solve an inequality that represents the number of cell phones you can sell each week. Inequality: Solution:
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