If the present value of $1000 to be received in 5 years is $548.80, what rate of interest, compounded continuously, was used to compute this present value?

Q: If you make an investment of $2,000 and the interest is compounded continuously at 3%, approximately…

A: There are multiple question. As per company policy ask other question separately. Formula for…

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

A: Answer  is   7625

Q: If you need $40,000 in your bank account in 8 years, how much must be deposited now? The interest…

A: For compounded continuously P=P0ert where, P0= initial depositr=interest rate=12%=0.12t=time…

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

A:

Q: Find the present value for a $90,000 investment for 24 years at a compounded continuously at 4.1%.

A: P=Aert Where P is present value , A is amount and r is rate and t is time.

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

A:

Q: Dylan is going to invest in an account paying an interest rate of 4.1% compounded continuously. How…

A: topic - exponents

Q: How long, to the nearest year, will it take an investment to double if it is continuously compounded…

A:

Q: Find the interest rate needed for an investment of $7,000 to grow to $10,000 in 9 years if interest…

A:

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

A:

Q: How long will it take for an investment to triple, if interest is compounded continuously at 7%?…

A: We can find the answer as below.

Q: How much money must be deposited today to become $2500 in 30 years at 6.5% compounded continuously?…

A:

Q: If $900 is deposited in an account paying 9 % annual interest, compounded continuously, how long…

A: We can find the time as below.

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

A:

Q: If $20,000 is invested in a savings account offering 3.5% per year, compounded continuously, how…

A:

Q: If 7000 dollars is invested in a bank account at an interest rate of 5 per cent per year, compounded…

A: Given that, the initial amount is P=7000 interest rate is r=5%, compounding period is p=1 and final…

Q: If $4000 is invested at an interest rate of 6.25% per year, compounded continuously, find the value…

A: Given: If $4000 is invested at an interest rate of 6.25% per year, compounded continuously The…

Q: If money is invested in an account earning 3.15% annual interest that is compounded continuously,…

A: Apply the compounded continuously formula, FV=Pert When future value (FV) gets double from the…

Q: Find the present value of $57,000 due 15 years later at 8%, compounded continuously.

A:

Q: Find the amount A in dollars of $3000 invested for 30 years at 12% compounded continuously (round to…

A:

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

A: Rate=5%

Q: How long will it take for $1,000 to be worth $2,500 at 5% interest, if compounded continuously?…

A: Given:  P=$1000A=$2500r=5%=0.05

Q: What is the compound interest if $460 is invested for 14 years at 6% compounded continuously? (Round…

A: Let the final amount= A Given that principal amount = P= 460 Time=t=14 years interest = r= 6%=0.06

Q: Find the interest rate needed for an investment of $10,000 to grow to $12,000 in 6 years if interest…

A: Given data: The investment is P=$10000. The final amount is A=$12000. Time taken is t=6 years.

Q: How many years will ittake for an initial investment of $10,000 to grow to $25,000?Assume a rate of…

A:

Q: A Bank offered 1 3/4% interest on savings accounts compounded continuously. How much is a $5000…

A: The formula used for evaluating the amount accumulated on the amount saved in the bank compounded…

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

A: Given Principal =$490. Rate       =10%=0.10. Time      =12 years.

Q: What is the compound interest if $48,000 is invested for 5 years at 8% compounded continuously?…

A:

Q: If $12,000 is deposited in an account paying 8% interest per year, compounded continuously, how long…

A:

Q: If $500 is deposited in an account paying 8.3% annual interest, compounded continuously, how long…

A: We know that, the formula for continuous compounding is given by A=Pert            ⋯⋯1 Where, P =…

Q: suppose $5000 is invested in an account at an annual interest rate of 3.7% compounded continuously.…

A: To determine the taken by an investment of $ 5000 to double.

Q: How much money should be invested at a rate of 6% compounded continuously to produce an amount of…

A:

Q: How many years are required for an investment to double in value if it is appreciating at the rate…

A:

Q: Carson invested $2,700 in an account paying an interest rate of 1.6% compounded continuously.…

A:

Q: How many years are required for an investment to double in value if it is appreciating at the rate…

A:

Q: Assume that there are no deposits or withdrawals. An initial investment of $2,000 earns 7% interest,…

A: The formula for continuous compound interest is given as A=Pert, where, A= Amount at time t P=…

Q: How long, to the nearest year, will it take an investment to triple if it is continuously compounded…

A:

Q: If $8000 is invested at 6% compounded continuously, what is the amount after 2 years? The amount…

A:

Q: Find the present value of a $8,000 annual income stream if it is invested immediately as it is…

A: Compound continuously A=Pe^(rt)

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: What is the compound interest if $48,000 is invested for 10 years at 8% compounded continuously?…

A:

Q: How long will it take for an investment to triple, if interest is compounded continuously at 6%? It…

A: Given

Q: What is the compound interest if $490 is invested for 15 years at 10% compounded continuously?…

A: Principal=$490 Rate of interest =10%                           =10100                          = 0.1…

Q: Find the present value of a $3, 000 annual income stream if it is invested immediately as it is…

A:

Q: If $20,000 is invested in a savings account offering 3.5% per year, compounded continuously, how…

A: We have to find how fast balance will grow per year after 4 year

Q: If $10,500 accumulates interest at an annual rate of 8%, compounded continuously, how much will be…

A:

Q: Suppose that you invest $8,000 at 8% interest compounded continuously. How much money will be in…

A:

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

A:

Q: Samuel is going to invest in an account paying an interest rate of 5% compounded continuously. How…

A: GIVEN: Rate = 5 Time = 9 years

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.