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Pg. 282/292 Homework. Study #7 $749.35 #15 $230.43 #17 $884.61 #1 x = 2 #2 x = 1 #3 x = 3 #4 x = 4 #5 x = -4 #6 x = 0 #7 no solution #8 x = 2 #9 Graph #10 Graph #11 Graph #12 Graph #13 x = 81 #14 x = 32 #15 x = 5
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Pg. 282/292 Homework • Study • #7 $749.35 #15 $230.43 • #17 $884.61 #1 x = 2 • #2 x = 1 #3 x = 3 • #4 x = 4 #5 x = -4 • #6 x = 0 #7 no solution • #8 x = 2 #9 Graph • #10 Graph #11 Graph • #12 Graph #13 x = 81 • #14 x = 32 #15 x = 5 • #16 x = 8 #17 x = • #18 x = ± ½ #19 x = ± 3 • #20 x = 0, x = 2
5.3 Effective Rates and Annuities • An $86,000 mortgage for 30 years at 12% APR requires monthly payments of $884.61. Suppose you decide to make monthly payments of $1050.00 instead. When would the mortgage loan be completely paid? • Suppose you make payments of $884.61 for that same $86,000 mortgage for 10 years and then make payments of $1050.00 until the loan is paid. In how many years total will the mortgage be completely paid?
5.1 – 5.4 Quiz Review Solve for x: Graph the following functions: Describe each transformation and determine the domain and range.
5.1 – 5.4 Quiz Review Word Problems!! Your goal is to save $200,000 in 35 years. If you put $325 dollars in an account every month, at what interest rate will your account need to be compounded monthly in order to reach your goal? • Compare the values of a $20,000 investment compounded weekly at 6.75% APR for 10 years with an investment compounded semi-annually for 11 years at 6.5% APR.
5.1 – 5.4 Quiz Review • You are buying a car and getting a loan for $18,000. If your interest rate is 3.5% for 5 years and you will be making monthly payments, what will your monthly payment be? • Suppose a culture of 1,000 bacteria are put in a petri dish and the culture doubles every 3 hours. • Find when the number of bacteria will be 350,000. • Find when the number of bacteria will be 10 times their initial size.
5.1 – 5.4 Quiz Review • The half-life of a certain radioactive substance is 35 days and there are 6.5 grams present initially. • Find an algebraic expression for the amount A of substance remaining as a function of time. • Find a complete graph of the function. • When will there be less than 2.5 gram of the substance remaining?