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Pg. 311 Homework. Study #1 Graph #3 Graph #5 Graph #7 x = 5 #9 D: (-2, 2)U(2, ∞); R: (-∞, ∞) #11 D: (-∞, 0)U(3, ∞); R: (-∞,0)U(0, ∞) #13 Dec: (-∞, ∞) #15 x = 3 #17 x = 3 #19 12log(1 + r ) – log r #21 f ( x ) → ∞ #23 f ( x ) → -∞ #25 f ( x ) → ∞ #27 x = 3 2/5
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Pg. 311 Homework • Study • #1 Graph #3 Graph • #5 Graph #7 x = 5 • #9 D: (-2, 2)U(2, ∞); R: (-∞, ∞) #11 D: (-∞, 0)U(3, ∞); R: (-∞,0)U(0, ∞) • #13 Dec: (-∞, ∞) #15 x = 3 • #17 x = 3 #19 12log(1 + r) – logr • #21 f(x) → ∞ #23 f(x) → -∞ • #25 f(x) → ∞ #27 x = 32/5 • #29 D1: (0, ∞), R1(-∞, 0); D2: (-∞, -2)U(0, ∞), R2: (-∞, 0)U(0, ∞) • #31 -0.26 #33 x = 2 • #35 x = 1.52 #37 (-∞, 0.69) • #39 2x > x2: (-0.77, 2)U(4, ∞); 2x < x2 : (-∞, -0.77)U(2, 4) • #41 $701.28 #43 $708.81 #45 $705.30
Ch. 5 Review Solve for x: Half-Life Suppose a culture of 750 bacteria are out in a petri dish and the culture doubles every hour. Find when the number of bacteria will be 500,000. Solve algebraically. Find when the number of bacteria will be 7 times their initial size. Solve algebraically.
Ch. 5 Review Word Problems!! Your goal is to save $500,000 in 35 years. If you put $500 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 $5,000 investment compounded quarterly for 5 years with the same investment compounded daily at 6.5% APR.
Ch. 5 Review • Consider a $225,000 mortgage loan with interest at 5% APR compounded monthly. • What is the monthly payment amount required to pay off the loan in 30 years? • If you pay $250 more per month, how long will it take to pay off the loan? • Consider a $500,000 mortgage with a 30 year loan and interest at 7.5% APR compounded monthly. • What is the monthly payment amount required to pay off the loan in 30 years? • If you pay the required monthly payment for 12 years and then pay $1000 more each month than the monthly payment until the loan is paid, how long will it take to pay off the house? How much do you pay the bank?
Ch. 5 Review Graph. State the Transitions, Reflections, Domain and Range.
Ch. 5 Review Solve the following equations algebraically. Solve the following inequalities: