If the exponential model f ( t ) = 800 e .045t measures the value of an investment t years after it is made, what is the doubling time of the investment? Give your answer as a decimal with at least one place of accuracy to the right of the decimal point.

Q: A company is considering expanding their production capabilities with a new machine that costs…

A: The present value of that income stream is given by   PV=∫0TF(t) e-rtdtPV=∫068000…

Q: Assume that there are no deposits or withdrawals An initial investment of $6,000 earns 8.7%…

A:

Q: A population of kangaroos is growing at a rate of 2% per year, compounded continuously. If the…

A: Given, growing rate (r)=2% = 2/100 = 0.02 This rate got increased to 150% The formula for…

Q: Suppose that a savings account attracts an interest rate of 1.6% per annum. How much would need to…

A:

Q: Consider an investment where $47,000 is invested for 15 years at 6% compounded continuously. How…

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Q: Consider an investment where $46,000 is invested for 10 years at 8% compounded continuously. How…

A:

Q: A population of bears increased by 50% in 4 years. If the situation is modeled by an annual growth…

A: The annual rate according to the exponential growth function.

Q: If $25200 is invested at an annual interest rate of 9%, find the value of the investment at the end…

A: Concepy

Q: How long does it take for an investment to double in value if it is invested at 5% compounded…

A:

Q: Assume that there are no deposits or withdrawals. An initial investment of $4,000 earns 7% interest,…

A:

Q: Find the amount of time it would take for a $23,000 investment to double given the following…

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Q: The population of a town with a 2016 population of 105,000 grows at a rate of 1.9% per year. a. Find…

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Q: Determine, to two decimal places, the base b for an exponential model y = Abt of the rate of auto…

A:

Q: Find an exponential function with horizontal asymptote y=-3 whose graph contains t he points (0,-2)…

A: y=-3  and the graph of the function contains the points (0,-2) and( 2,1)

Q: Suppose $2000 is invested at 9% interest compounded continuously. How long will it take for the…

A: Given

Q: A certain type of exponential growth can be described by the equation ,N = No10kt where No is the…

A: The exponential growth is described by the equation N=N010kt where N0 is the initial amount, k is…

Q: If $2500 is invested at an interest rate of 4.5% per year, compounded continuously, find the value…

A:

Q: If $4000 is invested at an interest rate of 6.25% per year, compounded continuously, find the value…

A: Given: If $4000 is invested at an interest rate of 6.25% per year, compounded continuously The…

Q: Find the present value Po of the amount P = $300,000 due t = 6 years in the future and invested at…

A:

Q: Suppose $2000 is invested at 7% interest compounded continuously. How long will it take for the…

A: Given query is to find the time taken to reach the investment of 2000 to 10000 if compounded…

Q: If $400 is invested at an interest rate of 4.5% per year, find the amount of the investment at the…

A: (a)Here the principal amount is P = $400, rate of interest r = 4.5%.Amount after t years which is…

Q: In the period immediately following the initial public offering (IPO), OHaganBooks.com's stock was…

A: The exponential model is as follows. S=AbtA is the value of stock during the purchaseb is the…

Q: How much must be invested today at 10%, compounded continuously, to be worth $271,000 in 10 years?…

A: We need to find principal value P.

Q: In the period immediately following the initial public offering (IPO), OHaganBooks.com's stock was…

A: Let the initial investment be x. The rate of increase of stocks is 1.7%. Therefore after an hour the…

Q: how long will it take for an investment of $9,000 to double if the investment earns interest at the…

A:

Q: Obtain an exponential function in the form f(t) = Aet. f(t) is the value after t years of a $4,000…

A: Solve the following as shown below.

Q: In the period immediately following the initial public offering (IPO), OHaganBooks.com's stock was…

A:

Q: If $2500 is invested at an interest rate of 5.5% per year, compounded continuously, find the value…

A: Solution Given If $2500 is invested at an interest rate of 5.5% per year, compounded continuously,…

Q: A company is considering expanding their production capabilities with a new machine that costs…

A: Cost of new machine = 60,000 Investment = 60000 Rate of interest, r= 1.4% per year = 0.014 Time = 6…

Q: a) Find the exponential growth rate k, to three decimal places, and determine the exponential growth…

A: A) Price in 1950 = 30,000 Price in 2004 = 104,168,000 V(t) = V0 e k(t) .......(1) where k>0 as…

Q: In the period immediately following the initial public offering (IPO), OHaganBooks.com's stock was…

A: Given that OHaganBook's stock was increasing by 2.0% every hour. Initial rate of the stock = $12000…

Q: the period immediately following the initial public offering (IPO), OHaganBooks.com's stock was…

A:

Q: Most population growths can be modeled by the exponential​ function:   P(t) = aert where t…

A: Given: i. In the year 1977, a particular population of people was 3046.ii. In the year 1987, a…

Q: suppose $5,000 is invested in an account at an annual interest rate of 3.7% compounded continuously.…

A: Given,

Q: Suppose an investment of $24,000 is invested at an annual rate of 3.8%, compounded continuously.…

A:

Q: Suppose an investment of $29,000 is invested at an annual rate of 5.5%, compounded continuously.…

A: Given: The investment is $29,000. The annual rate is 5.5%, compounded continuously. The objective is…

Q: If an investment of$5,000 is made in an account returning 2% p.a.then how long will it take for the…

A:

Q: Consider an investment where $48,000 is invested for 15 years at 8% compounded continuously. (a)…

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Q: How long will it take for an investment of $4,000 to double if the investment earns interest at the…

A: Given that the investment is $4000. We need to find when would the investment would get doubled if…

Q: a.How long will it take an investment to double in value if the interest rate is 4% compounded…

A: Given query is to find the time taken to double the investment.

Q: 11. Demonstrate how a natural exponential function can be used to approximate the value of GH¢…

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Q: an exponential equation, which conforms to the law of uninhibited growth, can model the population…

A: there are 600 inhabitants initially

Q: The population of bacteria on a doorknob at 1 PM was 20 and 30 minutes later grew to 500. a. Write…

A:

Q: A company is considering expanding their production capabilities with a new machine that costs…

A:

Q: In the period immediately following the initial public offering (IPO), OHaganBooks.com's stock was…

A: The exponential model is as follows. S=AbtA is the value of stock during the purchaseb is the…

Q: Consider an investment where $47,000 is invested for 5 years at 8% compounded continuously.  How…

A:

Q: In contrast, FarmerBooks.com's (a competitor of OHaganBooks.com) stock were increasing at a…

A: Given- The stock were increasing at the rate of 2.2% per hour, if anyone bought $ To find- if anyone…

Q: How many years will it take for an initial investment of $20,000 to grow to $30,000? Assume a rate…

A:

Q: Consider an investment where $43,000 is invested for 15 years at 6% compounded continuously. How…

A: Since you have asked multiple question, we will solve the first question for you.  If you want any…

Q: How long will it take an investment of $3,400 at an interest rate of 4% per year compounded…

A: Given,       P = $3400  ( initial investment/ principal)       I = 4% = 0.04 ( interest rate)      A…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.