Someone invests a constant stream of $450 per year at a continuously compounding interest rate of 5%. What is the present value of this continuous stream if it continues for 50 years? Round your answer to the nearest dollar, and do not include the dollar sign.

Q: Avery is going to invest $270 and leave it in an account for 20 years. Assuming the interest is…

A: For compounded continuously  A=Pertr = ln(AP)t   Here,  A=$600P=$270t=20

Q: Find how much money needs to be deposited now into an account to obtain $6,400 (Future Value) in 14…

A: Given, A=$6,400 n= 14 years R= 3% P=?

Q: How much money needs to be deposited now into an account to obtain $8,000 in 14 years if the…

A: Given

Q: A 25-year-old places a continuous stream of $4,000 per year into a retirement account which has a…

A: Given that a 25-year-old places a continuous stream of $4,000 per year into a retirement account…

Q: What rate of interest compounded annually is required to double an investment in 4 years? The rate…

A: Formula used:The simply annual compound interest formula

Q: An investment of $41,800 earns 5.1% annual interest, compounded continuously. If no funds are added…

A: The principal amount = P = $41800 Rate = r = 5.1% compounded continuously Time = t = 20 years

Q: If you borrow $8,500 at 4% interest, what is the amount that you will owe in five years if…

A: To find the amount owe in 5 years if compounding continuously :

Q: A small company is trying to decide whether or not to upgrade its website. The upgrade costs 5,000,…

A: Given:-               A small company is trying to decide whether or not to upgrade its website.…

Q: Suppose that you have $10,000 to invest. Which investment yields the greatest return over 5 years 5%…

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: An investment of $3,700.00 earns 19.7% annual interest, compounded continuously. If no funds are…

A:

Q: Joshua is going to invest $680 and leave it in an account for 19 years. Assuming to interest is…

A:

Q: An artist currently has $840,000 to invest and her goal is to use these resources to acquire a $1.5…

A: From the given information, it is observed that P = $840,000, t = 6 and A = $1,500,000. Here, the…

Q: If $20,000 is invested in a savings account offering 3.5% per year, compounded continuously, how…

A:

Q: What rate of interest compounded annually is required to double an investment in 3 years?

A: Consider the principal is "p". Then the amount is given as A=2P. The time is t=3 years. The…

Q: An investment of $24,400.00 earns 12.8% annual interest, compounded continuously. If no funds are…

A:

Q: At what interest rate will money treble if compounded continuously for 18 years?

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Q: Leonard's current salary is $65,000. Ten years from now, how much will he need to earn to retain his…

A: Given information Present annual salaryP=$65,000 Rate of inflationr=3% per year compounded…

Q: Savannah is going to invest $220 and leave it in an account for 12 years. Assuming the interest is…

A: We have, Savannah is going to invest $220 and leave it in an account for 12 years and at the end,…

Q: Camden is going to invest $600 and leave it in an account for 12 years. Assuming the interest is…

A: Solve for the rate of interest

Q: If Hannah places $ 4500 into an account earning 7.25% interest compounded continuously, how much…

A:

Q: What interest rate, to the nearest tenth of a percent, is required for an investment subject to…

A: Let P be the principal amount.

Q: How much money needs to be deposited now into an account to obtain $1,700 in 5 years if the interest…

A: Total amount of money at the end of nth  year is given by,                               A = P 1 +…

Q: Find the amount of a continuous money flow in which $200 per year is being invested at 7.5%,…

A: To find the amount after 25 years

Q: Questlon 1 Given an interest rate of 7.2% per year, compounded continuously. What is the quarterly…

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Q: The parents of a 3-year-old child put $10,000 into an account with the hope that the amount will…

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Q: How long will it take $10,000 to grow to $15,000 if the investment earns an interest rate of 12% per…

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Q: Find the interest rate needed for an investment of $3,000 to grow to an amount of $4,000 in 9 years…

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Q: A person wishes to invest $10,000 and wants the investment to grow to $20,000 over the next 10…

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Q: Elizabeth is going to invest $480 and leave it in an account for 8 years. Assuming the interest is…

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Q: Ella is going to invest $18,000 and leave it in an account for 8 years. Assuming the interest is…

A:

Q: If the present value of my investment is $1,000 and the rate of interest is 10% compounded annually,…

A: From the given information, present value of my investment is $1,000 that is P = 1000, the rate of…

Q: If 3000 dollars is invested in a bank account at an interest rate of 4 per cent per year, compounded…

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Q: what rate of interest compounded annually is required to double an investment in 3 years?

A:

Q: A university alumni group wants to provide an annual scholarship to current students. If the…

A: Given: A university alumni group wants to provide an annual scholarship to current students. The…

Q: Brayden now has $2,500 in her CD, which has compounded continuously over a period of 12 years. She…

A: Given: Principle amount: (P)=$1,800  Amount after 12 years A=$2,500 Rate of interest=? The formula…

Q: The parents of a 3-year-old child put $10,000 into an account with the hope that the amount will…

A:

Q: Carter is going to invest $79,000 and leave it in an account for 12 years. Assuming the interest is…

A: Simply use the formula for compound interest.

Q: How much was invested into Ed's account that was continuously compounded at 3.9% interest for 15…

A: Compound Interest :  When the interest charged after a certain specified time period is added to…

Q: Perpetuity is derived from the fact that the number of compounding periods approaches to infinity…

A: Perpetuity is derived from the fact that the number of compounding periods approaches to infinity…

Q: What annual interest rate would allow Karen to double her investment if it is compounded quarterly…

A: The compound interest formula for an initial amount P deposited for a time period of t at a rate of…

Q: Suppose that you have $14,000 to invest. Which investment yields the greater return over 10 years:…

A: To Determine : Which investment yields the greater return . Given: Suppose that you have $14,000 to…

Q: If 2000 dollars is invested in a bank account at an interest rate of 9 per cent per year, compounded…

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Q: What will a $90,000 house cost 4 years from now if the price appreciation for homes over that period…

A:

Q: Suppose that a company needs new equipment, and that the machinery in question costs $130000 and…

A: The formula for the compounded continuously is given by, P=P0ert

Q: Starting at age 30, you deposit $2000 a year into an IRA account for re stream. If money in the…

A: Given that Starting at age 30, you deposit $2000 a year into an IRA account for retirement. Treat…

Q: find the interest rate needed for an investment of $5000 to grow to an amount of $7000 in 9 years if…

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Q: An investment of $98,200.00 earns 14.1% annual interest, compounded continuously. If no funds are…

A:

Q: Ben franklin bequeathed $4000.00 to the city of Boston in 1790. Assuming the fund grew to $15…

A:

Q: Joshua is going to invest $490 and leave it in an account for 5 years. Assuming the interest is…

A: Solution:-

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.