Explanation Consider the case that a deposit of $ 2500 dollars is invested at an interest of r = 0.025 and r = 0.0375 , compounded continuously for t years. The formula of the total amount or balance for continuous compounding is given as: A = P e r t ….. (1) Where, A represents the final amount, P is the initial deposit, r = 0.025 and r = 0.0375 are the rate of interest and t is the time taken. Here, for the case that the amount doubles itself then: A = 2 P Thus, the equation (1) becomes: 2 P = P e r t 2 = e r t ln 2 = r t Take natural logarithm both sides t = ln 2 r Thus, the time period for r = 0.025 is: t = ln 2 0.025 = 0.693 0.025 ≈ 27.72 Similarly, the time period for r = 0.0375 is: t = ln 2 0.0375 = 0.6931 0.0375 ≈ 18

Bundle: Trigonometry, 10th + Webassign Printed Access Card For Larson's Trigonometry, 10th Edition, Single-term

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ISBN: 9781337605175

Author: Ron Larson

Publisher: Cengage Learning

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Chapter 5.4, Problem 96E

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Whether, the time required for investment of $2500 in an account to quadruple at an interest of r=0.025 and r=0.0375, levied on it compounded continuously and compare, if it is double the time required for investment to double in the same case.

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Chapter 5.4, Problem 95E

Chapter 5.4, Problem 97E

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Chapter 5 Solutions

Bundle: Trigonometry, 10th + Webassign Printed Access Card For Larson's Trigonometry, 10th Edition, Single-term

Ch. 5.1 - Use a calculator to evaluate fx=8x at x=2.Ch. 5.1 - Prob. 2ECP Ch. 5.1 - Prob. 3ECP Ch. 5.1 - Prob. 4ECP Ch. 5.1 - Prob. 5ECP Ch. 5.1 - Prob. 6ECP Ch. 5.1 - Prob. 7ECP Ch. 5.1 - You invest $6000 at an annual rate of 4. Find the...Ch. 5.1 - Prob. 9ECP Ch. 5.1 - Prob. 1E

Ch. 5.1 - Prob. 2E Ch. 5.1 - Prob. 3E Ch. 5.1 - Prob. 4E Ch. 5.1 - Prob. 5E Ch. 5.1 - Prob. 6E Ch. 5.1 - Evaluating an Exponential Function In Exercises...Ch. 5.1 - Evaluating an Exponential Function In Exercises...Ch. 5.1 - Prob. 9E Ch. 5.1 - Prob. 10E Ch. 5.1 - Prob. 11E Ch. 5.1 - Prob. 12E Ch. 5.1 - Prob. 13E Ch. 5.1 - Prob. 14E Ch. 5.1 - Prob. 15E Ch. 5.1 - Prob. 16E Ch. 5.1 - Prob. 17E Ch. 5.1 - Graphing an Exponential Function Exercises 1724,...Ch. 5.1 - Prob. 19E Ch. 5.1 - Prob. 20E Ch. 5.1 - Prob. 21E Ch. 5.1 - Prob. 22E Ch. 5.1 - Prob. 23E Ch. 5.1 - Prob. 24E Ch. 5.1 - Prob. 25E Ch. 5.1 - Prob. 26E Ch. 5.1 - Prob. 27E Ch. 5.1 - Prob. 28E Ch. 5.1 - Prob. 29E Ch. 5.1 - Prob. 30E Ch. 5.1 - Prob. 31E Ch. 5.1 - Transformations of the Graph of an Exponential...Ch. 5.1 - Prob. 33E Ch. 5.1 - Prob. 34E Ch. 5.1 - Prob. 35E Ch. 5.1 - Prob. 36E Ch. 5.1 - Prob. 37E Ch. 5.1 - Prob. 38E Ch. 5.1 - Prob. 39E Ch. 5.1 - Prob. 40E Ch. 5.1 - Prob. 41E Ch. 5.1 - Prob. 42E Ch. 5.1 - Prob. 43E Ch. 5.1 - 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Whether, the time required for investment of $ 2500 in an account to quadruple at an interest of r = 0.025 and r = 0.0375 , levied on it compounded continuously and compare, if it is double the time required for investment to double in the same case.

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Whether, the time required for investment of $2500 in an account to quadruple at an interest of r=0.025 and r=0.0375, levied on it compounded continuously and compare, if it is double the time required for investment to double in the same case.

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