A money market fund has a continuous flow of money at a rate of f(x)=0.07x+100 for 10 years. Find the present value of this flow if interest is earned at 4​% compounded continuously. Round to the nearest cent.

Q: If $6000 is invested at 3% compounded continuously, what is the amount after 8 years? The amount…

A: Answer  is   7625

Q: If $5000 is invested at 8% compounded continuously, what is the amount after 3 years? The amount…

A:

Q: If $5000 is invested at 3% compounded continuously, what is the amount after 3 years? The amount…

A:

Q: Find the amount resulting in 12 years, if $25,000 is invested now at an interest rate of 4.25% p.a.…

A: Given that, P=25000, r=4.25%, t=12years

Q: What is the compound interest if $490 is invested for 12 years at 10% compounded continuously?

A:

Q: If $12, 000 is invested at a rate of 3% per year compounded continuously, find value of the…

A:

Q: Find the present value of $4000 payable at the end of 4 years, if money may be invested at 6% with…

A:

Q: Find the effective rate of interest.For 5% compounded continuously

A: Here we have to find the effective rate of interest. For 5% compounded continuously.  r = 5%…

Q: If interest is compounded continuously at the rate of 4% per year, approximate the number of years…

A: It is given that interest is compounded continuously at the rate of 4% per year an the initial…

Q: A certain stock has grown continuously from 1980 to 2015. A $15,000 investment in the stock in 1980…

A: A certain stock has grown continuously from 1980 to 2015. A $15,000 investment in the stock in…

Q: Joshua is going to invest $680 and leave it in an account for 19 years. Assuming to interest is…

A:

Q: Find the interest rate needed for an investment of $3500 to double in 6 years if interest is…

A: It is given that investment is of $3500 which has to be doubled in 6 years.

Q: Suppose income from an endowment is generated at the annual rate of $42,000 per year. Find the…

A: Given: The annual rate of $42,000 per year, an interest rate of 7.5% compounded continuously. Find:…

Q: If the present value of $1000 to be received in 5 years is $559.90, what rate of interest,…

A:

Q: If you invest $20,000 at an annual rate of 1% compounded continuously, calculate the final amount…

A: Given, the interest is compounded continuously.

Q: Find the amount that results from each investment. $400 invested at 7% compounded continuously after…

A: To find the amount that results from investment $400 at 7% continuously after a period of 3 years.…

Q: what is the compound interest if $43000 is invested for 5 years at 6% compounded continuously?

A: Given,           The compound interest if $43000 is invested for 5 years at 6% compounded…

Q: Suppose that you have $2500 to invest at 4% compounded continuously.  The accumulated amount after…

A: Given investment amount $2500 and rate of interest r=4%=4100=0.04. Compounded continuously. The main…

Q: If an investment of $7740 grows to $9635 in 6 years at continuously compounded interest, what is the…

A:

Q: Leonard's current salary is $65,000. Ten years from now, how much will he need to earn to retain his…

A: Given information Present annual salaryP=$65,000 Rate of inflationr=3% per year compounded…

Q: Find the interest rate r needed for an investment of $4000 to grow to $28,000 in 6 years if interest…

A: We will use future value formula to find interest rate

Q: How long will it take for a principal of 1000 OMR to produce a future value of 2500 OMR at 10% rate…

A: If the interest is compounded continuously, then the formula used is A=Pert, where, A is the final…

Q: Savannah is going to invest $220 and leave it in an account for 12 years. Assuming the interest is…

A: We have, Savannah is going to invest $220 and leave it in an account for 12 years and at the end,…

Q: Suppose you invest $1600 at an annual interest rate of 4.6 % compounded continuously . How much will…

A:

Q: Find the accumulated present value of an investment over a 12-year period if there is a continuous…

A:

Q: If $2000 is invested at 6% interest, find the amounts due to the nearest cent at the end of 4 years…

A:

Q: Suppose you invest $1200 at an annual interest rate of 2.3% compounded continuously. How much will…

A:

Q: A ranch experienced growth of its gopher population at a 1.5% annual rate, compounded continuously.…

A: Exponential growth function =A = Pert → 1Given A = 78        r = 1.5% = 1.5100…

Q: Find the present value for a $85,000 investment for 11 years at a compounded continuously at 3.2%.

A:

Q: Find the amount of a continuous money flow in which $200 per year is being invested at 7.5%,…

A: To find the amount after 25 years

Q: An initial amount of $1800 is invested in an account at an interest rate of 3.5% per year,…

A: givenP=$1800r=3.5%=0.035t=7 yearssince we are solving compouded continuously ,then we apply this…

Q: If $6,000 is invested at 3% compounded continuously, what is the amount after 7 years? The amount…

A:

Q: Find the amount that results from the given investment. $10 invested at 9% compounded continuously…

A:

Q: If P5,000 is invested now at an interest rate of 9% compounded continuously, how much would be at…

A: As per our guidelines, we are allowed to answer first question only. Thanks   Amount to be invested…

Q: Suppose you invest R10000 over a period of 6 years. If money is compounded continuously, the annual…

A:

Q: If $12, 000 is invested at a rate of 3% per year compounded continuously, find value of the…

A: The formula for continuously compounded interest is, A=Pert where P is the principal amount, r is…

Q: see attached

A:

Q: Find the present value of $3000 payable at the end of 4 years, if money may be invested at 8% with…

A: As per guidelines we can answer the 1st question only. if you need more answer please repost it.

Q: A university alumni group wants to provide an annual scholarship to current students. If the…

A: Given: A university alumni group wants to provide an annual scholarship to current students. The…

Q: Find the present value of $3000 payable at the end of 4 years, if money may be invested at 8% with…

A: Future value = $3000  Time period= 4years  Interest = 8%  r= 0.08   The required formula is  FV=PV…

Q: Find the interest rate r needed for an investment of $5000 to grow to $8000 in 8 years if interest…

A:

Q: If $20,000 is invested at 2.8% compounded continuously, what is the amount in 5 years?

A: If $20,000 is invested at 2.8% compounded continuously, what is the amount in 5 years?

Q: A money market fund has a continous flow of money at a rate of f(x)=0.07x+700 for 10 years. Find the…

A:

Q: What is the value of a $500 investment which earns continuous compound interest of 1% annually for…

A:

Q: how long will it take to have a final balance of $100,000 if $1,000 is invested at 5% interest rate…

A:

Q: Find the interest rate needed for an investment of $3,000 to grow to an amount of $4,000 in 4 yr if…

A:

Q: An investor has $4000 to invest in either a bond that matures in 4 years or a business that will…

A:

Q: Find the present value of $8000 payable at the end of 2 years, if money may be invested at 3% with…

A: Given values are - Future value =$8000 N= 2 years  Interest rate (i)=3%=0.03 We need to find the…

Q: How much money must be deposited today to become $2450 in 60 years at 6.5% compounded continuously?

A:

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.