II. Exponential functions 10. The number of bacteria, n, in a petri dish, after t minutes, is given by n(t) = 400e0.15. After how many minutes has the initial amount doubled? Give your answer rounded to the nearest integer. 11. The weight of a radioactive isotope remaining after t weeks is given by W₁ = 20000 e grams. Find the time for the weight to halve. III.Compound Interest: 12. Daniel invests $4,848 Dollars in a savings account with a fixed annual interest rate of 5% compounded 2 times per year. What will the account balance be after 6 years? 13. Sarah Invests a sum of money in a savings account with a fixed annual interest rate of 4.31% compounded 12 times per year. After 10 years, the balance reaches $12,855.94. What was the amount of the initial investment?
II. Exponential functions 10. The number of bacteria, n, in a petri dish, after t minutes, is given by n(t) = 400e0.15. After how many minutes has the initial amount doubled? Give your answer rounded to the nearest integer. 11. The weight of a radioactive isotope remaining after t weeks is given by W₁ = 20000 e grams. Find the time for the weight to halve. III.Compound Interest: 12. Daniel invests $4,848 Dollars in a savings account with a fixed annual interest rate of 5% compounded 2 times per year. What will the account balance be after 6 years? 13. Sarah Invests a sum of money in a savings account with a fixed annual interest rate of 4.31% compounded 12 times per year. After 10 years, the balance reaches $12,855.94. What was the amount of the initial investment?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 14CT
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Transcribed Image Text:II. Exponential functions
10.
The number of bacteria, n, in a petri dish, after t minutes, is given by
n(t) = 400e0.15. After how many minutes has the initial amount doubled?
Give your answer rounded to the nearest integer.
11.
The weight of a radioactive isotope remaining after t weeks is given by
W₁ = 20000 e grams. Find the time for the weight to halve.
III.Compound Interest:
12. Daniel invests $4,848 Dollars in a savings account with a fixed annual interest rate of 5%
compounded 2 times per year. What will the account balance be after 6 years?
13. Sarah Invests a sum of money in a savings account with a fixed annual interest rate of 4.31%
compounded 12 times per year. After 10 years, the balance reaches $12,855.94. What was the
amount of the initial investment?
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