1. Joan invested $1000 3 years ago. It is now worth $1276. If interest is compounded continuously, what is the interest rate?

Q: 3. An account with an initial deposit of $6,500 earns 7.25% annual interest, compounded…

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Q: How much money needs to be deposited now into an account to obtain $3,300 in 14 years if the…

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Q: Serenity is going to invest $130 and leave it in an account for 19 years. Assuming the interest is…

A: Just use the formula for the compound interest and simplify.

Q: 38. What rate of interest compounded continuously will yield an effective interest rate of 6%?

A: We know that, if an amount P is invested at rate r for time t, compounded continuously yields amount…

Q: 1. (a) If $4500 is put in the bank today at 1.5% interest compounded continuously, how much will the…

A: (a) To find: The amount after 3 years. Given information: The invested amount is $54000 and rate of…

Q: 3) Suppose that you have $6,000 to invest. Which investment yields the greater return over 4 years:…

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Q: 8. How much money must you invest now at 3.5% interest compounded continuously in order to have…

A: Given,  Compound amount=  $ 20000 Time period = 10 years Rate = 3.5%

Q: 36. (a) How long does it take for an investment to triple in value if it is invested at 6%…

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Q: Find the amount of time it would take for a $23,000 investment to double given the following…

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Q: A survey estimates the current average cost of college to be $33,245per year.   ​(a) If the average…

A:

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

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Q: 9. How long does it take for Mary to deposit $100 to an annual interest rate of 3%, compound…

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Q: 1. Suppose that a couple invested P50, 000 in an account when their child was born, to prepare for…

A: NOTE: As Per our guidelines, I have solved first problem.   P be principal amount A be the final…

Q: In 17 years, Selena Willow is to receive $300,000 under the terms of a trust established by her…

A: Recall that the compounded continuous formula:A=Pertwhere A= Accumulated amount, P=present value,…

Q: Suppose $5,000 is invested at an annual interest rate of 7%. Compute the balance after 10 years if…

A: Given that  Initial amount of investment =$5000 Interest rate = 7% = 7/100 = 0.07 Time (t) = 10…

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: 6. Suppose you want to have $12,450 in an account 16 years from now, and the APR is 2.3%. (a) If…

A: A=$12450 r=2.3% =0.023 t=16 years  n=4 (quarterly ) A=P(1+r/n)^(n*t)

Q: 3. You are investing $6000 that will eam 5.0% interest compounded continuously. How much is your…

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Q: Camden is going to invest $600 and leave it in an account for 12 years. Assuming the interest is…

A: Solve for the rate of interest

Q: 4. Mr. Roberts invests $10,000 in an account that pays 3.75% interest compounded continuously.…

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Q: You want to have $300,000 when you retire in 30 years. If you can earn 5% interest compounded…

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Q: How much money needs to be deposited now into an account to obtain $1,700 in 5 years if the interest…

A: Total amount of money at the end of nth  year is given by,                               A = P 1 +…

Q: 7. How many years would it take for $450 to amount to $5000 if it is invested at 3.9% per annum…

A: The initial amount is: $450 The compound interest is: 3.9% The amount interested per annum…

Q: Questlon 1 Given an interest rate of 7.2% per year, compounded continuously. What is the quarterly…

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Q: Sarah is going to invest $280 and leave it in an account for 9 years. Assuming the interest is…

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Q: 5. (a) How long does it take for an investment to double in value if it s invested at 8% compounded…

A: Given query is to find the time taken to become an investment double of its value.

Q: 7. At what interest rate compounded continuously must money be invested in order to triple in 10…

A: We know that  P=Aert where A= Principal value r=rate  and t=time

Q: Elizabeth is going to invest $480 and leave it in an account for 8 years. Assuming the interest is…

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Q: Ella is going to invest $18,000 and leave it in an account for 8 years. Assuming the interest is…

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Q: 4. How many years will it take for 500.00 to grow to P1,051.82 at 10 percent compounded annually

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Q: 4. How long will it take $2,000 to grow to $24,000 if it is invested at 7% compounded monthly?

A: Given that  P=Principal amount= $2000                                              A=Annual rate of…

Q: Suppose you invest $5000 and would like your investment to grow to $10,000 in eight years. What…

A: Given that the initial amount= P=5000 Final amount=A= 10000 Time=t= 8 years  n=number of times…

Q: Someone invests a constant stream of $450 per year at a continuously compounding interest rate of…

A: To calculate the present value of the investment following the (continuous) exponential model

Q: 4.52 What effective interest rate per month, compounded continuously, would be required for a single…

A: We have to find out the interest rate that would triple the amount in 5 years if compounded monthly.

Q: Brayden now has $2,500 in her CD, which has compounded continuously over a period of 12 years. She…

A: Given: Principle amount: (P)=$1,800  Amount after 12 years A=$2,500 Rate of interest=? The formula…

Q: Suppose, at your birth, your parents bought you a savings certificate that had a locked-in interest…

A: Topic- contionus compound interest

Q: 15. Suppose $5000 is invested at 8% interest compounded annually. How many years will it take for…

A: The formula for compound interest is  where P is principle Amount, R is rate of interest and T is…

Q: Carter is going to invest $79,000 and leave it in an account for 12 years. Assuming the interest is…

A: Simply use the formula for compound interest.

Q: 2) 2) Susan purchased a painting in the year 2000 for $5000. Assuming a continuous exponential rate…

A: We can find the worth of the painting after 8yr as below

Q: Diego deposited a certain sum of money in a bank 2 years ago. If the bank had been paying interest…

A: For the following problem,

Q: checking Homework. Show Work.

A:

Q: Adrian is going to invest $9,900 and leave it in an account for 10 years. Assuming the interest is…

A: Simply use the formula for compound interest.

Q: Perpetuity is derived from the fact that the number of compounding periods approaches to infinity…

A: Perpetuity is derived from the fact that the number of compounding periods approaches to infinity…

Q: 6. You deposit $1600 into an account that pays 2.5% interest compounded continuously. When does the…

A: This question is related to compound interest.

Q: If 8000 dollars is invested in a bank account at an interest rate of 9 per cent per year, compounded…

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

A: If investment or present value = $P interest rate = r  compounded m times per year. and time period=…

Q: Starting at age 30, you deposit $2000 a year into an IRA account for re stream. If money in the…

A: Given that Starting at age 30, you deposit $2000 a year into an IRA account for retirement. Treat…

Q: Someone invests a constant stream of $25,000 per year at a continuously compounding interest rate of…

A: Annuity, A= a constant stream of $25,000 per yearInterest rate, r = continuously compounding…

Q: Joshua is going to invest $490 and leave it in an account for 5 years. Assuming the interest is…

A: Solution:-