math 116 work - Exercise: Week Two Concept Check We solve...

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Exercise: Week Two Concept Check We solve an equation, by simplifying and performing operations on each side to isolate the variable on one side of the equal’s sign. If the variable cancels completely out of the equation, we might be left with exact same number on both sides, a statement that is always true like 5=5, in which case the equation has infinitely many solutions. Or we might be left with 2 different numbers on both side of the equation, something that is never true like 3=7, in which case the equation has no solutions. Assignment: Expressions and Equations Appendix C
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Axia College Material Appendix C Starting a Business Starting your own business can be exciting and daunting at the same time. Businesses use math when managing finances, determining production levels, designing products and packaging, and monitoring labor. A bakery can be a highly profitable and rewarding business. During this activity, you will apply the skills from Ch. 1 & 2 to navigate some of the issues facing bakery owners. Application Practice Answer the following questions. Use Equation Editor when writing mathematical expressions or equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting. 1. You have recently found a location for your bakery and have begun implementing the first phases of your business plan. Your budget consists of an $80,000 loan from your family and a $38,250 small business loan. These loans must be repaid in full within 10 years. a) What integer would represent your total budget? b) Twenty-five percent of your budget will be used to rent business space and pay for utilities. Write an algebraic expression that indicates how much money will be spent on business space and utilities. Do not solve. c) How much money will rent and utilities cost? Explain how you arrived at this answer. We have to solve for “r” in the equation we came up with in the last part. But first we have to convert the percentage to a decimal: Initial Budget: $80,000 loan from family $38,250 small business loan from bank All loans to be repaid in 10 years
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The rent and utilities, as indicated by “r”, will cost $29562.5. d) Suppose an investor has increased your budget by $22,250. The investor does not need to be repaid. Rather, he becomes part owner of your business. Will the investor contribute enough money to meet the cost of rent and utilities? Support your answer, and write an equation or inequality that illustrates your answer. No, the money the investor contributes will not cover the cost of rent and utilities. Here is the inequality: The amount of money the investor contributes is less than the amount of money needed for rent and utilities. e)
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math 116 work - Exercise: Week Two Concept Check We solve...

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