Someone invests a constant stream of $25,000 per year at a continuously compounding interest rate of 2.9%. What is the present value of this continuous stream if it continues for 15 years? Round your answer to the nearest dollar, and do not include the dollar sign.

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: If 10 thousand dollars is invested at an interest rate of 5 percent per year, find the value of the…

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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: how long will it take $15,000 to grow to $18,000 if the investment earns interest at the rate of…

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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: Find the present value of a $50, 000 annual income stream if it is invested immediately as it is…

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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%…

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Q: Suppose that $18,000 is invested in a bond fund and the account grows to $23,344.74 in 5 yr. a. Use…

A: Given:Suppose that $18,000 is invested in a bond fund and the account grows to $23,344.74 in 5 yr.

Q: What interest rate enables an imvestor to obtain a 70% increase in an investment in 2 years if the…

A: In this question, the concept of Compound interest is applied. Compound Interest Compound interest…

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

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Q: An investment of $82,200 earns 3.3% annual interest, compounded continuously. If no funds are added…

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Q: If 7000 dollars is invested in a bank account at an interest rate of 5 per cent per year, compounded…

A: Given that, the initial amount is P=7000 interest rate is r=5%, compounding period is p=1 and final…

Q: McDonalds estimates it will have a continuous income flow of f(t)= 2510 dollars per year from…

A: Given that the continuous income flow is f(t) = 2510 dollars per year To calculate:  (A) The present…

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…

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Q: In 17 years, Selena Willow is to receive $300,000 under the terms of a trust established by her…

A: Recall that the compounded continuous formula:A=Pertwhere A= Accumulated amount, P=present value,…

Q: An investment of $89,800.00 earns 12% annual interest, compounded continuously. If no funds are…

A: We will compute the future value as following.

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

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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: If $400 is invested at an interest rate of 2.5% per year, find the amount of the investment at the…

A: Explanation: Given that: Principal(P) = $400 Rate(r) = 2.5% or .025 per year Concept: 1. A=P1+rnnt…

Q: If $300 is invested at an interest rate of 2.5% per year, find the amount of the investment at the…

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Q: If $13,500 is invested at 8% compounded quarterly, how much will this investment be worth in 17…

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

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Q: Peyton is going to invest $71,000 and leave it in an account for 18 years. Assuming the interest is…

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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: Suppose you invest $5000 and would like your investment to grow to $10,000 in eight years. What…

A: Given that the initial amount= P=5000 Final amount=A= 10000 Time=t= 8 years  n=number of times…

Q: Someone invests a constant stream of $450 per year at a continuously compounding interest rate of…

A: To calculate the present value of the investment following the (continuous) exponential model

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?

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Q: How long will it take $3,000 to grow to $20,000 if it invested at 6% compounded monthly? ___years…

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Q: If $300 is invested at an interest rate of 4.5% per year, find the amount of the investment at the…

A: Given data: The given principal amount is P=$300. The given rate of interest is r=4.5%=0.045. The…

Q: Someone invests a constant stream of $80 per year at a continuously compounding interest rate of…

A: Use the formula for the future value of an annuity and substitute the given values.

Q: Skylar is going to invest $69,000 and leave it in an account for 6 years. Assuming the interest is…

A: Concept : if the principal amount of P is lend with compound interest of r % then the final amount…

Q: Find the present value of a $45, 000 annual income stream if it is invested immediately as it is…

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Q: An investment of $1,000.00 earns 1.2% annual interest, compounded continuously. If no funds are…

A:

Q: If $11,500 is invested at 10% compounded quarterly, how much will this investment be worth in 3…

A: Let P be the amount invested , r be rate of interest compounded quarterly, n be number of periods in…

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: 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: A recent college graduate decides to open a credit card in order to pay for their upcoming trip…

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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: 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: b. Suppose you as a businessman leave an initial amount of $600 in a savings account at an annual…

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

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

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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.