A 25-year-old places a continuous stream of $4,000 per year into a retirement account which has a continuously-compounding interest rate of 1.5%. What will be the value of this continuous stream when this person retires at age 65? Round your answer to the nearest integer.

Q: A fireman invests $40,000 in a retirement account for 2 years. The interest rate is 6%, compounded…

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Q: In 1626, Peter Minuit convinced the Wappinger Indians to sell him Manhattan Island for $24. If the…

A: To find accumulated balance in the year 2010 if interest were compounded monthly; Using compound…

Q: For 8 years, $33 is deposited each week into an account that earns 2.1% interest, compounded weekly…

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Q: Find the amount of money that results if $100 is invested at 4% compounded quarterly for 2 years.

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Q: Suppose you deposit $2000 at 9% interest compounded continously. Find the average value of your…

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Q: Find the amount of money in an account after 10 years if $1,300 is deposited at 8​% annual interest…

A: Principal p =$1300 deposited  Rate =8% annual compounded monthly Time = 10 years To calculate total…

Q: Melanie places $5,000 into an account that earns 6% interest compounded daily. Approximately six…

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Q: Find the interest rate required for an investment of$5000 to grow to $7500 in 5 years if interest is…

A: Given the principle of investment (P) =$5000 , amount after 5 years (A)=$7500 and time duration…

Q: We put $500 in an account earning interest compounded continously. What interest rate do we need if…

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Q: A gift of $9000 to a city grew to $10,000,000 in 200 years. At what interest rate compounded…

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Q: Suppose you have $2700 in your savings account at the end of a certain period of time. You invested…

A: Given: Principal amount P= $2000 Future value A= $2700  Rate r= 7.47 % annually To find time t (…

Q: A community outreach program wants to set up a scholarship fund for students who demonstrate…

A: Formula for compound interest is,Intererst=invested amount1+interest ratenumber of times interest…

Q: Suppose that $8,000 is invested into an account earning 6.8% interest compounded monthly. Estimate…

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Q: An investor has accumulated $360000 in her retirement account that pays a 3.87% interest rate…

A: P0=d1-1+rk-NkrkWhere,P0= Balance accumulatedd=Regular withdrawalr=annual interest ratek=number of…

Q: Lylreice deposited $1,500 into a savings account, which earns 7% interest compounded annually. What…

A: To find the account balance

Q: In a certain bank, Angel invested 88,000  in a time deposit that pays 0.5% compounded interest in a…

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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.