A person places $8890 in an investment account earning an annual rate of 7.7%, compounded continuously. Using the formula V = Pet, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, andris the rate of interest, determine the amount of money, to the nearest cent, in the account after 3 years.

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A: Topic = Algebra

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A: t=1clnA-lnA-N a). On simplifying the above formula, we get t=1clnAA-N          Because, lnx-lny=lnxy

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A: Given:   Find the exact solution of the exponential equation in terms of logarithms. e−5x = 4

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Q: Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to…

A: We have to find the value of log2 7.

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Q: Solve for f using natural logarithms. 6P = Pe041 Round your answer to three decimal places.

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Q: Find the solution of the exponential equation 10-i = 5 in terms of logarithms, or correct to four…

A: Given exponential equation is10-x2 =5find the solution of the equation interms of logarithms

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Q: log, 657

A: Change of base formula: logab=logbloga

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Q: Use the Change of Base Formula to evaluate log14(39). (Round your answer to three decimal places.)

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Q: Rewrite the equation y = 2.5(0.7)x in terms of base e.Express the answer in terms of a natural…

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Q: Find the solution of the exponential equation 1000(1.04)" = 50, 000 in terms of logarithms, or…

A: Answer is mentioned below

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A: Given:       Exponential growth:             p=p0ert At t=0      p=823 At t=4 years    p=2490

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A: The change of base formula of logs means we can find the logarithm of a number using any base simply…

Q: Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to…

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Q: An investment of $40,500.00 earns 1.8% annual interest, compounded continuously. How long will it…

A: Given problem:- An investment of $40,500.00 earns 1.8% annual interest, compounded continuously. How…

Q: Evaluate log2 8 to three decimal places. Oa) -0.195 Ob) -5.129 Oc) -12.000 Od) -4.710

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Q: Evaluate the Logarithm using the change of base formula. Round your answer to the nearest tenth.…

A: Using Change of base logarithm formula, we calculate the given problem.

Q: Rewrite the equation y = 4.5(0.6)x in terms of base e.Express the answer in terms of a natural…

A: Our Aim is to re-write the equation y=4.5(0.6)x-(i) in terms of base e and to express the answer in…

Q: Find the solution of the exponential equation 1000(1.07)^2t=50,000 in terms of logarithms, or…

A: See attached file for a step by step explanation.

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Q: Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to…

A: Given: y=log321 We know that  logab=log10blog10a…

Q: The pH of a solution is given by the formula pH = - log H* , where H* is the concentration of…

A: TO CALCULATE 'pH' OF THE SOLUTION pH = -log[H+] [H+] = 3.05 * 10-9 moles/ litre