Student Solution

-->

"Education is the most powerful weapon which you can use to change the world”
– Nelson Mandela

1 University

1 Course

1 Subject

Homework Quiz 7 Answers

Homework Quiz 7 Answers

Q Math 30 Homework Quiz 7 Answers 1. C. 0.023 2. C. 99 pounds The function f(x) = 500(0.5)x/60 models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. Find the amount of radioactive material in the vault after 140 years. Round to the nearest whole number. 3. C. 3.004 Approximate the number e1.1 using a calculator. Round your answer to three decimal places. Note: e is a natural base whose value is 2.718. 4. D. 234 The size of the raccoon population at a national park grows continuously at the rate of 4.3% per year. If the size of the current population is 166, find how many raccoons there should be in 8 years. Use the function f(x) = 166e0.043t.

View Related Questions

Solution Preview

2.f(x) = 500(0.5)x/60 x = 140 Replace x with 140: f(x) = 500(0.5)140/60 f(x) = 500(0.5)2.33 f(x) = 500 (1.99) f(x) = 99.44 or 99 pounds 3.2.7181.1 = 3.004 4.f(x) = 166e0.043t t = 8 years e = 2.718 Replacing t with 8: f(x) = 166 (2.718)0.043(8) f(x) = 166 (2.718281) 0.344 f(x) = 166 (1.41) f(x) = 234.16 or 234