We invest a given amount of money in a bank account whose yearly rate is 3.5%, compoundedcontinuously. How long will it take for the initial amount to triple?A. t= In(3).B. t =In 30.035C. t= In(0.035)3D. t= (0.035) In(3).E. t (0.02) In(3).F None of these answer.

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Answered: We invest a given amount of money in a…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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You plan to invest in an account which pays 6.5% compounded continuously. If the investment period is for 8 years, then A(P) = Pe 0.065 •8 = Pe 0.52 gives the total balance of P dollars. a. Find a formula for A'(P). b. Find and interpret A'(8000). c. Compare the approximation to the actual change. a. A'(P) = e0.52 (Type an exact answer in terms of e.) b. A'(8000) = 1.68 dollars increased in the total amount per dollar increase in the initial investment (Round to the nearest cent as needed.) Interpret A'(8000) = 1.68 GA. The future value of a 9 year investment of $8000 will be $ more than the future value of a 9 year investment of S8000. O B. The future value of a 9 year investment of $8001 will be $ more than the future value of a 9 year investment of S8000. O C. The future value of 8 year investment of $8000 at 7.5% will be $ more than the future value of a 8 year investment of $4000 at 6.5%. D. The future value of a 8 year investment of $8001 will be $ 1.68 more than the future value…
A certain radioactive isotope has a half-life of 5 days. If one is to make a table showing the half-life decay of a sample of this isotope from 32 grams to 1 gram; list the time (in days, starting with t = 0) in the first column and the mass remaining (in grams) in the second column, which type of sequence is used in the first column and which type of sequence is used in the second column?
(c) Bacteria grow in a nutrient solution at a rate proportional to the amount present. Initially, there are 250 strands of the bacteria in the solution which grows to 800 strands after seven hours. Find (a) an expression for the approximate number of strands in the culture at any time t. (b) the time needed for the bacteria to grow to 1600 strands.

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We invest a given amount of money in a bank account whose yearly rate is 3.5 %, compounded continuously. How long will it take for the initial amount to triple? A. t= In(3). В. 0.035 С. t = In(0.035) 3 D. t = (0.035) In(3). Е. 3(0.02) In(3). t = F. None of these answer.