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P Let Q represent a mass (in grams) of carbon (14C), whose half-life is 5,715 years. The quantity of carbon-14 present after t years is given by the following =6(1) 1/5,715 (a) Determine the initial quantity (when t = 0). Q = (b) Determine the quantity present after 3000 years. (Round your answer to two decimal places.) (c) Sketch the graph of the function over the interval t = 0 to t = 10,000.

P Let Q represent a mass (in grams) of carbon (14C), whose half-life is 5,715 years. The quantity of carbon-14 present after t years is given by the following =6(1) 1/5,715 (a) Determine the initial quantity (when t = 0). Q = (b) Determine the quantity present after 3000 years. (Round your answer to two decimal places.) (c) Sketch the graph of the function over the interval t = 0 to t = 10,000.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter10: Exponential And Logarithmic Functions
Section10.CT: Test
Problem 21CT
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+ Let Q represent a mass (in grams) of carbon (14C), whose half-life is 5,715 years. The quantity of carbon-14 present after t years is given by the following. = 6(-1) 1/5,715 Q = (a) Determine the initial quantity (when t = 0). 9 (b) Determine the quantity present after 3000 years. (Round your answer to two decimal places.) (c) Sketch the graph of the function over the interval t = 0 to t = 10,000. 80 70- 60- 50- 40 30- 25 20 0 2000 4000 6000 Type here to search 1 8000 10000 O O Q 20 18- 16 14 12- 10 8- 6 0 Et 2000 4000 6000 8000 1 10000 81 7 6- 5- Q4 3 2 0 14 2000 4000 1 6000 8000 10000 85°F Partly sunny
Transcribed Image Text:+ Let Q represent a mass (in grams) of carbon (14C), whose half-life is 5,715 years. The quantity of carbon-14 present after t years is given by the following. = 6(-1) 1/5,715 Q = (a) Determine the initial quantity (when t = 0). 9 (b) Determine the quantity present after 3000 years. (Round your answer to two decimal places.) (c) Sketch the graph of the function over the interval t = 0 to t = 10,000. 80 70- 60- 50- 40 30- 25 20 0 2000 4000 6000 Type here to search 1 8000 10000 O O Q 20 18- 16 14 12- 10 8- 6 0 Et 2000 4000 6000 8000 1 10000 81 7 6- 5- Q4 3 2 0 14 2000 4000 1 6000 8000 10000 85°F Partly sunny
Q 80 70- 60 50 40 30 O 25- 20 15 0 10 5 0 2000 2000 4000 4000 1 6000 6000 8000 10000 8000 10000 Q 20 18- 16- 14 12 10 8- 6 0 2000 4000 t 6000 8000 10000 8 7- 6- 5- Q 4- 3 2- 1- 0 2000 4000 t 6000
Transcribed Image Text:Q 80 70- 60 50 40 30 O 25- 20 15 0 10 5 0 2000 2000 4000 4000 1 6000 6000 8000 10000 8000 10000 Q 20 18- 16- 14 12 10 8- 6 0 2000 4000 t 6000 8000 10000 8 7- 6- 5- Q 4- 3 2- 1- 0 2000 4000 t 6000
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