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

9 81

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.

3 32 16x 32 132 4x x

5

1log

25x

2log 2 3 2x 14 2

xy

13 3xy e

5.1 – 5.4 Quiz Review

Word Problems!! • 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.

• 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?

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?