Given an interest rate of 7.2% per year, compounded continuously. What is the quarterly interest rate that would give the same yield?

Q: Find the effective interest rate per quarter at a nominal rate of 8% compounded (a) weekly, (b)…

A: The effective interest rate is the interest rate on a loan or financial product restated from the…

Q: If you invest $50,000 at 5% interest compounded continuously, what is the average amount in your…

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Q: An amount of $12,000 is deposited into an account with annual interest rate of 3.5 % compounded…

A: Principal amount = P = 12000 Interest = r= 3.5% = 0.035 Final amount = A= 12000(2)= 24000 time=t=?

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

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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: Consider an investment where $47,000 is invested for 15 years at 6% compounded continuously. How…

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Q: $13,000 is deposited into a savings account with an annual interest rate of 3% compounded…

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Q: Consider an investment where $46,000 is invested for 10 years at 8% compounded continuously. How…

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

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

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Q: Find the effective rate corresponding to the given nominal rate. (a) 1.5%/year compounded monthly %…

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

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

A: Let the initial amount be P Final amount is 2P rate of interest, r =7%

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

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Q: What size deposit must be made into an account earning 4.3% interest, compounded continuously, to be…

A: Formula for compound interest compounded continuously given by as P(t) = P0 ert Where P(t) = amount…

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: What is the compound interest if $42,000 is invested for 15 years at 6% compounded continuously?…

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Q: Find the capital value of a fort at a strategic location, where the annual rent is $950,000, paid in…

A: Given that the annual rent of a fort at a strategic location is $950,000 with the compound interest…

Q: If $400 is invested at an interest rate of 4.5% per year, find the amount of the investment at the…

A: (a)Here the principal amount is P = $400, rate of interest r = 4.5%.Amount after t years which is…

Q: What is the compound interest if $43,000 is invested for 5 years at 6% compounded continuously?

A: To find the final value of an investment use this compound interestformula:Investment Value = P x (…

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: If $2500 is invested at an interest rate of 5.5% per year, compounded continuously, find the value…

A: Solution Given If $2500 is invested at an interest rate of 5.5% per year, compounded continuously,…

Q: How much should be invested now at an interest rate of 6% per year, compounded continuously, to have…

A: Given that, Interest rate (r) = 6% or 0.06 per annum compounded Final amount (A) = $ 3500 Time…

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: A bank offered 1 3/4% interest on savings accounts compounded continuously. -How much is a $5,000…

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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: Consider the following investment options. Option 1: invest $4000 for 8 years at 8% compound…

A: Option 1: Given Investment of $4000 for 8 years at 8% compounded annually. When it is compounded…

Q: What is the equivalent annual rate, compounded continuously, of an annual rate of 144%, compounded…

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Q: At what nominal rate compounded continuously must money be invested to triple in 6 ​years?

A: Formula for continuously compounded is given by A=Pert Where A is total amount P is Principal Amount…

Q: If $8000 is invested at 5% compounded continuously, what is the amount after 3 years? The amount…

A: According to the given information, it is required to calculate the amount after 3 years.…

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?…

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

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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: What is the compound interest if $46,000 is invested for 15 years at 8% compounded continuously?…

A: The invested amount is $46000 for 15 years at 8% compounded annually.

Q: What is the compound interest if $45,000 is invested for 10 years at 6% compounded continuously?…

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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: If $2000 is invested at an interest rate of 3.5% per year, compounded continuously, find the value…

A: Given: If $2000 is invested at an interest rate of 3.5% per year, compounded continuously. To Find:…

Q: Consider an investment where $48,000 is invested for 15 years at 8% compounded continuously. (a)…

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Q: If $20,000 is invested at a rate of 5% per year compounded continuously, find the value of the…

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Q: How long will it take for an investment of $4,000 to double if the investment earns interest at the…

A: Given that the investment is $4000. We need to find when would the investment would get doubled if…

Q: If ​$7000 is invested at 5​% compounded​ continuously, what is the amount after 7 ​years? round…

A: Given, Initial amount=$7000 Rate of interest=5%=0.05 Period=7years

Q: What is the compound interest if $46,000 is invested for 10 years at 8% compounded continuously?…

A: Amount in continuous compound interest: where,

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

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Q: If you invest $10,000 at 10% interest compounded continuously, what is the average amount in your…

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

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

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Q: How long will it take an investment of $3,400 at an interest rate of 4% per year compounded…

A: Given,       P = $3400  ( initial investment/ principal)       I = 4% = 0.04 ( interest rate)      A…