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: Angela deposits $⁢5500 into an account with an APR of 3.3% for 12 years. Find the future value of…

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Q: If $2102 is invested at 13% for 28 years

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Q: A person needs ​$17,500  immediately as a down payment on a new home. Suppose that she can borrow…

A: A person needs ​$17,500 immediately as a down payment on a new home. Suppose that she can borrow…

Q: amount of $50,000 is borrowed for 13 years at 4.5% interest, compounded annually. If the loan is…

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Q: $20,000 is invested at 3.5% interest compounded monthly. How long will it take for the investment to…

A: Given:Principal amount (P) = $20,000Final amount (A) = double the principal amountInterest rate (r)…

Q: Suppose you had $100 to invest for 5 years. Determine the amount of the investment if it earned 7%…

A: Obtain the amount if the investment compounded monthly as follows.

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

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Q: When Grayson was 20 years old, he opened an individual retirement account by investing $2,000 at 11%…

A: To find out the amount when the person becomes 65 years old.

Q: Gina puts $ 5500 into an account earning 7.75% interest compounded continuously. How long will it…

A: Given problem Given that   Gina puts $ 5500 into an account earning 7.75% interest compounded…

Q: Tessa invests $9600 in a new savings account which earns 4.6% annual interest, compounded…

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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: At age 20, Mike inherited $100,000 from his grand parents.  Then he invested the money in a bank…

A: We will find the account balance

Q: Christa wants to invest $50,000 in a retirement fund. One investment offers 8% compounded quarterly.…

A: Here we have, P=50000r=8%=0.08n=4 for quarterly compoundt=1 yearThe compound interest formula is…

Q: Mary invests $3500 at 2.75% compounded continuously. How much money will be in the account after 6…

A: Given Principal amount p = $3500 Interest rate r = 2.75% = 0.0275 Time t = 6 years

Q: A couple plans to save for their child's college education. What principal must be deposited by the…

A: Given that, the couple plans to save for their child's college education.The aim is to find the…

Q: You invest $750 in bank which pays 8% interest per year compounded continuously. What will be the…

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Q: Hannah wants to have $ 4500 to help pay for a new deck in 7 years. If she wants to put her money…

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Q: Jake invests $4900 at an 8% interest rate compounded contínuously for 2 $5000 at a 7% interest rate…

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Q: How long, in years, will it take an investment of $1000 to triple to $3000 at annual simple interest…

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Q: $14,000 is invested for 25 years, what will be the ending balance if interest is 8% compounded…

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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.