4. Business: future value. Find the future value of $12,000 invested for 10 yr at an annual percentage rate of 3.75%, compounded continuously.

Q: Someone invests a constant stream of $80 per year at a continuously compounding interest rate of…

A: Solution:- Someone invests a constant stream of $80 per year at a continuously compounding interest…

Q: If I want to grow an investment to $20,000 to have as a down payment, how much does the Initial…

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Q: 33. What rate of interest compounded annually is required to triple an investment in 5 years?

A: Given, after 5 years investment is triple

Q: Find the principal P that must be invested at rate r= 7(1/2)%, compounded monthly, so that…

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Q: Find the years it will take for a principal P to double if invested at a rate of 4% compounded…

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Q: Calculate the present value PV of an investment that will be worth $1,000 at the stated interest…

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

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Q: Find the interest rate required for an investment of $3000 to grow to $4000 in 6 years if the…

A: Given: investment : A=$4000Principal: P=$3000,  t=6 Use formula for compounded continuously, which…

Q: A small company is trying to decide whether or not to upgrade its website. The upgrade costs 5,000,…

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

Q: Find the accumulated value of an investment of $25,000 for 5 years at an interest rate of 5% if the…

A: the compound interest formula:…

Q: Find the interest rate needed for an investment of $6,000 to grow to an amount of $7,000 in 8 years…

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Q: A2. (a) (i) Find the future value of £2000 when it grows at an annually compounded rate of 5% for 10…

A: To find the future value of £2000 when it grows at an annually compounded rate of 5% for 10 years.…

Q: Sophia is going to invest $7,900 and leave it in an account for 6 years. Assuming the interest is…

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Q: If $400 is invested at an interest rate of 2.5% per year, find the amount of the investment at the…

A: Explanation: Given that: Principal(P) = $400 Rate(r) = 2.5% or .025 per year Concept: 1. A=P1+rnnt…

Q: If $300 is invested at an interest rate of 2.5% per year, find the amount of the investment at the…

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Q: Find the future value at 6.5% interest, compounded continuously for 4 years, of the continuous…

A: Given: r=6.5% t=4 years f(t)=850e-0.02t

Q: Find the future value at 6.5% interest, compounded continuously for 5 years, of the continuous…

A: Given that :- Rate of interest r=6.5%=0.065 Time T = 5 years Rate of flow ft=850e-0.02t Future value…

Q: Find the effective yield of an investment that earns 4.1% compounded quarterly.

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Q: 2. How long will it take$5000 to grow to $20,000 if the investment earns interest at the rate of 6%…

A: Given data,  Initial amount (P) = $5000 Final amount (A) = $20000 Interest rate (r) = 6% = 0.06…

Q: Find the present value of a $25,000 annual income stream if it is invested immediately as it is…

A: In the given problem the future value is 25000, the interest rate is 7% and the time period is 15…

Q: Find the interest rate needed for an investment of $8,000 to triple in 15 years if interest is…

A: To find the interest rate needed for an investment of $8000 to triple in 15 years if interest is…

Q: Find the amount that results from the given investment. $300 invested at 6% compounded quarterly…

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Q: Find the interest rate needed for an investment of $5,000 to triple in 13 years if interest is…

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Q: Calculate the present value PV of an investment that will be worth $1,000 at the stated interest…

A: Let the present value be P Given: time, t=12 yearsrate=2%=0.02Amount after t years=A=1000 The…

Q: Suppose that you have opened a saving account with an initial deposit of $8,000. The account offers…

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Q: Find the interest rate needed for an investment of $9,000 to grow to an amount of $9,900 in 3 months…

A: Step 1Amount = $9900, Principle = $9000n = Compounded monthly = 12 months in a yeart = 3 months =…

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: If an IRA is a variable-rate investment for 25 years at rate r percent per year, compounded monthly,…

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Q: Calculate the present value PV of an investment that will be worth $1,000 at the stated interest…

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Q: Find the interest rate needed for an investment of $3,000 to grow to an amount of $4,000 in 9 years…

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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: If the present value of my investment is $1,000 and the rate of interest is 10% compounded annually,…

A: From the given information, present value of my investment is $1,000 that is P = 1000, the rate of…

Q: Find the future value at 5.25% interest, compounded continuously for 5 years, of the continuous…

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Q: If $300 is invested at an interest rate of 4.5% per year, find the amount of the investment at the…

A: Given data: The given principal amount is P=$300. The given rate of interest is r=4.5%=0.045. The…

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: If the present value of a cash flow at an annual rate of interest of 4.5% is $30000, what is the…

A: When the interest is compounded, then the formula used is A=P1+rnnt , where, A is the final amount,…

Q: Suppose that $12,000 is invested in a bond fund and the account grows to $14,309.26 in 4 yr.   a.…

A: (a) From the given information, it is observed that A = $14,309.26, P = $12,000 and t = 4.Compute…

Q: Find the interest rate needed for an investment of $5,000 to grow to an amount of $7,500 in 10 years…

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Q: 4. How many years (to the nearest tenth) will it take for a $1500 investment to double with an…

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Q: Suppose an individual wants to have $190,000 available for her child’s education. Find the amount…

A: To find the amount that would have to be invested

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: If R8500 is invested in a saving account offering 5.4% per year, compounded semi-annually, the rate…

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Q: Morgan is going to invest $8,200 and leave it in an account for 10 years. Assuming the interest is…

A: A=$16500 P=$8200 t=10 years n=12 (compounded monthly) We have to found intrest rate

Q: Find the interest rate needed for an investment of $3,000 to triple in 11 years if interest is…

A: To find the interest rate we use compound interest formula A=p1+rnnt where p is the amount invested…

Q: 18. Determine the interest rate required to triple an investment in 10 years under continuous…

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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: Find the time required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate…

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Q: b. Suppose you as a businessman leave an initial amount of $600 in a savings account at an annual…

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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…