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. Do not include a dollar sign in your answer.

Q: A grandparent puts $4,000 into a college education fund for a grandchild. If the fund earns 2.75%…

A: total amount = P(1+r/100)n here r = 2.75/365 = 0.007534 n = 365*18 = 6570 total amount = 4000(1+…

Q: If $400 is invested at 18% compounded quarterly, what is the interest earned after: a) 2 years…

A: Given data: The given principal is P=$400. The given quarterly interest is r=18%=0.18. a) The given…

Q: 12. You deposit $2000 in an account that pays 2% interest compounded continuously. When does the…

A:

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A: The given values are as follows.

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Q: 11. In how many years will P6,500 accumulate to P10,000 if it is invested at 12% compounded…

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A: Grandmother deposits $13,000. Interest rate is, 3.5%. Number of years is 21.

Q: A business sets up a sinking fund so they will have a $51,000.00 to pay for a replacement piece of…

A: We will find out the required value.

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Q: Jim places $10,000 in a bank account that pays 5.8% compounded continuously. After 2 years, will he…

A: Initial amount = P= 10000Interest rate = r= 5.8% = 0.058Time = t= 2 yearsWe use continuous compound…

Q: When your first child is born, you begin to save for college by depositing $500 per month in an…

A: Given: Amount deposited per month is $500. Thus, the amount deposited per year is $500×12=$6000. The…

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

Q: Suppose that $7,000 is invested at 4%, compounded semiannually. How much is in the account at the…

A: Amount for compound interest:If P amount of money is invested for t years at r% rate of interest…

Q: Evelyn is going to invest $3,500 and leave it in an account for 16 years. Assuming the interest is…

A: The principal amount Evelyn is going to invest is:  $3,500 Time period:  t = 16 years Interest is…

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: At the time of her grandson's birth, a grandmother deposits $2000 in an account that pays 8.5%…

A: the principal value = $2000 time period is 21 years which when converted into months is…

Q: Jim places $10,000 in a bank account that pays 8.7% compounded continuously. After 2 years, will he…

A: P0=$10,000t=2 yearsr=8.7100 (first bank)

Q: In 19 years, Anthony Oaks is to receive $300,000 under the terms of a trust established by his…

A: It is given that, the time period is t=19 years,  Future Value (FV)=$300,000 rate of return…

Q: FlybynightSavings.com is offering a savings account that pays 31% compounded continuously. How much…

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Q: The AMD investment company has advertised a new Mutual Fund  that has advertised to pay 10 %…

A: new Mutual Fund that has advertised to pay 10 % compounded continuously. Bob invested $ 8,500 in the…

Q: A debt of $43,974 is due in 4 years. If the debtor wishes to pay his creditor today at 14%…

A: If the interest is compounded, then the formula that is used is FV=PV1+rnnt. Here FV is future…

Q: When your first child is born, you begin to save for college by depositing $700 per month in an…

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: Calculate, to the nearest cent, the present value of an investment that will be worth $1,000 at the…

A:

Q: A 55-year-old places a continuous stream of $10,000 per year into a retirement account which has a…

A: Compound interest formula:

Q: What will $82,000 grow to be in 11 years if it is invested today at 8% and the interest rate is…

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Q: If an investment company pays 6.5% compounded semi – annually, how much should you deposit now to…

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Q: Jackson deposits $50 at the end of each month in a savings account earning interest at a rate of…

A: Saving plan Formula :F=PMT1+rnnt-1rnwhere F = future valuePMT = Periodic paymentr = annual…

Q: no given value so i was thinking of doing 1000? =3p a little confused

A: Take the present value as P, so the future value will become 3P. A(t) = P[1+r/n]nt P= present value…

Q: Jim places $10,000 in a bank account that pays 12.7% compounded continuously. After 2 years, will he…

A:

Q: When your first child is born, you begin to save for college by depositing $300 per month in an…

A: Given- Monthly payment (R)=$300 Interest (i)=13% =0.13 Time(n)=18 years No, of payments in a year=12…

Q: In its first 10 years a mutual fund produced an average annual return of 20.81%. Assume that money…

A:

Q: If you were to invest $200 at 4% interest compounded annually or each year, what would be your…

A: We shall use formula for compund interest. P= initial amount A = total amount after t years…

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Q: Fred is an employee of a company that specializes in repossessing aircrafts owned by private…

A: topic - compound interest

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A:

Q: How much money should be deposited today in an account that earns 7% compounded semiannually so that…

A: Let $x should be deposited today that earns 7y.Compound semi annually. So that it will accumulate…

Q: In 17 years, Oscar Oaks is to receive $200,000 under the terms of a trust established by his…

A: Given: The time period is t=17 years,  Future Value is P=$200,000 rate of return r=5.1100=0.051 We…

Q: Find the accumulated value of an investment of $25,000 for 4 years at an interest rate of 6% if the…

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Q: 7. Suppose that in 1880, one of your ancestors invested $46 compounded semi-annually at 6.5%. If…

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Q: What present value P amounts to $280,000 if it is invested at 8%, compounded semiannually, for 16…

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Q: An investor doubled the money in his IRA during the time period 1990-1999. Assuming that he was…

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Q: A 35-year-old places a continuous stream of $5,000 per year into a retirement account which has a…

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Q: For the 2009 fiscal year, Lowe's Companies, Inc. reported an annual net income of $48,230,000.…

A: Given: For the 2009 fiscal year, Lowe's Companies, Inc. reported an annual net income of…

Q: If you invest $1,000 at 10% interest compounded every year. a)  How long will it be until your…

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Q: In the future, it is estimated that university will cost $200,000 per student. How much would have…

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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.