Suppose $500 is deposited into an account paying interest at a rate of 7%, continuously compounded. Find a formula for the value of the account at time t. What is the value of the account after 3 years?

Q: Assume that there are no deposits or withdrawals An initial investment of $6,000 earns 8.7%…

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Q: Evan is going to invest in an account paying an interest rate of 5.4% compounded continuously. How…

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Q: Recently, a certain bank offered a 5-year CD that earns 2.45% compounded continuously. Use the given…

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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: Suppose $500 is deposited into an account paying interest at a rate of 7%, continuously compounded.…

A: Given, Suppose $500 is deposited into an account paying interest at a rate of 7% continuously…

Q: Recently, a certain bank offered a 10-year CD that earns 2.16% compounded continuously. Use the…

A: We have to find gross amount

Q: John has won the Maga-Bucks lottery, which pays $100.000 suppose he deposits the money in a saving…

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Q: Jesaki Bank offers a 10-year CD that earns 2.3% compounded continuously.T If $10,000 is invested in…

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Q: 5b. How long, to the nearest tenth of a year, will it take $8000 to grow to $16,000 at 8% annual…

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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 long does it take for a deposit of $800 to double at 9% compounded continuously? How many years…

A: I am attaching image so that you understand each and every step.

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: 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: 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: how long will it take for an investment of $9,000 to double if the investment earns interest at the…

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Q: A person wants to have $30,000 in an investment account to buy a new car in 4 years. How much should…

A: Topic - compound Interest

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: if $3,500 is invested at an interest rate of 2.75% per year, compounded continuously, find the value…

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Q: Suppose $40,000 is borrowed for 5 years at 3% interest. Find the interest paid over this period if…

A: We’ll answer the first three subparts since the exact three weren’t specified. Please submit a new…

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

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Q: If $3500 is invested at an interest rate of 6.25% per year, compounded continuously, find the value…

A: A=P ertP is the invested amount.A is the amount after t years

Q: How long does it take for a deposit of $1100 to double at 7% compounded continuously? How many years…

A: Given: principal amountP=$1100, rate of interestr=7% compounded continuously and final amountF.A.=2P…

Q: How much money needs to be invested now to obtain $2000 in 3 years if the interest rate in a savings…

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Q: Find the value of $30,000 invested for 4years at 15.3% interest if the compounding is done…

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Q: An initial deposit of $25,000 earns 1.25% interested and is left in the account for 15 years. How…

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Q: find the present value of $100,000 if interest is paid at a rate of 8% per year, compounded…

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Q: Suppose $26,000 is borrowed for 4 years at 6% interest. Find the interest paid over this period if…

A: **** As per our guidelines, we are supposed to solve only the first three problems/subdivisions.…

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

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

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Q: How long does it take for a deposit of $800 to double at 5% compounded continuously? How many years…

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

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

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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: Brianna is going to invest in an account paying an interest rate of 5.2% compounded continuously.…

A: Given data :-  Rate(r) = 5.2% = 5.2/100                = 0.052 P= Principal price  Find :- Principal…

Q: How many years will it take for an initial investment of $20,000 to grow to $30,000? Assume a rate…

A: Topic = Algebra

Q: An account contains $2,000 and has been earning 9% interest, compounded continuously. How much will…

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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: formula for continuous compound interest  A = P e r t  t = number of years  r = interest rate  P =…

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: How much money must be deposited today to become $2250 in 30 years at 5.5% compounded continuously?…

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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 P dollars is deposited in a savings account that pays interest at a rate of r% per year…

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Q: A recent college graduate decides to open a credit card in order to pay for their upcoming trip…

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Q: Recently, a certain bank offered a 10-year CD that earns 11.2% compounded continuously. Use the…

A: Given the following : Compounding interest on CD (r) = 11.2%=11.2100=0.112 Period (t) = 10 years

Q: Suppose that a company needs new equipment, and that the machinery in question costs $130000 and…

A: The formula for the compounded continuously is given by, P=P0ert

Q: Suppose that a company needs new equipment, and that the machinery in question costs $100000 and…

A: Given data: The given value of the machinery is M=$100000. The given profit per year is A=$60000.…

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…