Someone invests a constant stream of $80 per year at a continuously compounding interest rate of 0.1%. 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. Provide your answer below:

Q: If $500 is invested at an interest rate of 2.5% per year, find the amount of the investment at the…

A: The formula for compound interest is A = P (1+r/n)nt   Where A is the final amount, P = principal…

Q: If $500 is invested at an interest rate of 2.5% per year, find the amount of the investment at the…

A: Given, $500 is invested at an interest rate of 2.5% per year, to find the amount of the investment…

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

A: Given

Q: If $500 is invested at an interest rate of 5.5% per year, find the amount of the investment at the…

A: A=P1+rnntP is the invested amountr is the rate of interest t is the time periodn=1 for annually, 2…

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

A: Solution:- Someone invests a constant stream of $80 per year at a continuously compounding interest…

Q: To provide for a future expansion, a company plans to make continuous deposits to a savings account…

A: A differential equation is an equation that usually relates a function with with its derivatives.…

Q: How much money needs to be deposited now into an account to obtain $3,300 in 14 years if the…

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Q: An investor wants to analyze the earnings of a mutual fund account. Seven years ago, the value of…

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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: Consider the following investment options. Option 1: invest $2000 for 9 years at 10% compound…

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Q: Complete the table for a savings account in which interest is compounded continuously. Initial…

A: The compound interest formula is A=P1+R100t where A=final amountP=initial amountR=Annual rate%t=time…

Q: Consider the following investment options. Option 1: invest $3000 for 9 years at 7% compound…

A: Answer of option 1: The formula for compounded annually is given by: Amount=investment1+rate100time…

Q: Find the interest rate required for an investment of $3000 to grow to $4000 in 6 years if the…

A: Given: investment : A=$4000Principal: P=$3000,  t=6 Use formula for compounded continuously, which…

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: 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…

A:

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 $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 rate of interest compounded annually is required to triple an investment in 11 years? The rate…

A: Recall: Compound interest Formula:                 A=P(1+rn)nt ; where A- Amount after t years…

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

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

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Q: If you need $20,000 in your bank account in 6 years, how much must be deposited now? The interest…

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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: How long will it take an investment to double in value if a 9% continuously compounded interest rate…

A: Let investment = P  If amount double, A = 2P  Interest rate, r = 9% 9100=0.09 Using formula for…

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

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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: 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: What rate of interest compounded annually is required to triple an investment in 10 years

A: Compound interest formula: A=P 1+rnnt. Given that rate of interest compounded annually is required…

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

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Q: How long will it take an investment to double in value if a 5% continuously compounded interest rate…

A: Rate=5%

Q: If Hannah places $ 4500 into an account earning 4.5% interest compounded continuously, how much will…

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: 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: A family has $16,000 saved for college tuition. They will need $64,000 for college expenses fifteen…

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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: Find the future value at 6.5% interest, compounded continuously for 4 years, of the continuous…

A: Given: r=6.5% t=4 years f(t)=850e-0.02t

Q: A retirement savings plan pays 4.5% interest, compounded continuously. How long will it take for an…

A: Given: A retirement savings plan pays 4.5% interest, compounded continuously. To find: Time in which…

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: At what normal interest rate compounded quarterly will a certain amount of money be equal to 1.5…

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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: If $500 is invested at an interest rate of 2.5% per year, find the amount of the investment at the…

A: Given,            Initial investment amount, P =$500            Rate , r =2.5 %            Time, t =…

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: If $175,000 is invested at a rate of 8%per year compounded continuously, find value of the…

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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…

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

A: Given query is to find the quarterly intrest rate.

Q: Upon the death of his aunt, Lucien receives an inheritance of $40,000, which he invests for 13 years…

A:

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: 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: Assuming continuous compounding, what will it cost to buy a $10 item in 3 years at the following…

A: The solution as follows:

Q: If $500 is invested at an interest rate of 3.5% per year, find the amount of the investment at the…

A: Given,

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

A:

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: If 32800 dollars is invested at an interest rate of 8 percent per year, find the value of the…

A: A=P1+rnntwhere P = principal amount (the initial amount you borrow or deposit )r = annual rate of…

Q: t what monthly compounded interest rate does it take five years for an investment to quadruple?

A: Compound interest formula is given by    A = P(1+rn)nt           where P = principal…

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

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Q: d. If the same account and interest were compounded continuously, how much money would the account…

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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: If $400 is invested at an interest rate of 5.5% per year, find the amount of the investment at the…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Someone invests a constant stream of $25,000 per year at a continuously compounding interest rate of…

A: Annuity, A= a constant stream of $25,000 per yearInterest rate, r = continuously compounding…

Q: If $400 is invested at an interest rate of 3.5% per year, find the amount of the investment at the…

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Q: balance

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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.