Stitz-Zeager_College_Algebra_e-book

Recall that a whispering gallery is a room which in

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Unformatted text preview: 99 3831 4283 4742 5123 5398 With the help of your classmates, find a model for this data and make a prediction for the Opening Day enrollment as well as the Day 15 enrollment. (WARNING: This year’s registration period is one week shorter than it was in 2008 so Opening Day would be x = 21 and Day 15 is x = 23.) 6.5 Applications of Exponential and Logarithmic Functions 6.5.4 395 Answers 1. (a) A(8) = 2000 1 + 0.0025 12·8 12 ≈ $2040.40 ln(2) ≈ 277.29 years 12 ln 1 + 0.0025 12 2000 (c) P = 36 ≈ $1985.06 1 + 0.0025 12 (b) t = 2. (a) A(8) = 2000 1 + 0.0225 12·8 12 ≈ $2394.03 ln(2) ≈ 30.83 years 12 ln 1 + 0.0225 12 2000 (c) P = 36 ≈ $1869.57 1 + 0.0225 12 (b) t = (d) 1 + 0.0225 12 12 ≈ 1.0227 so the APY is 2.27% 3. A(3) = 5000e0.299·3 ≈ $12, 226.18, A(6) = 5000e0.299·6 ≈ $30, 067.29 5. (a) A(t) = N e − ln(2) 5730 t ≈ N e−0.00012097t (b) A(20000) ≈ 0.088978 · N so about 8.9% remains ln(.42) ≈ 7171 years old (c) t ≈ −0.00012097 6. A(t) = 2.3e−0.0138629t 8. V (t) = 25eln( 5 )t ≈ 25e−0.22314355t 4 9. (a) T (t) = 75 + 105e−0.005005t (b) The roast would have cooled to 140◦ F in about 95 minutes. 10. From the graph, it appears that as x ...
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This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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