How long will it take an investment of $3,400 at an interest rate of 4% per year compounded continuously to reach $8,000? Round to the nearest tenth of a year. (Hint: Use A= Pe"")

Q: How long will it take $12,000 to grow to $15,000 if the investment earns interest at the rate of…

A: We can solve the problem by following steps.

Q: Suppose an investment account is opened with an intial deposit of $12,000 earning 8.7% interest.…

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Q: Justin wants to buy a bond that will mature to $6000 in eight years. How much should he pay for the…

A: topic - exponential function

Q: Suppose that a savings account attracts an interest rate of 1.6% per annum. How much would need to…

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Q: How long did it take for an investment of $21,250 to grow to at least $24,000 at 2.50% compounded…

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Q: compounded

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Q: An investor deposits $5,000 into an account that pays 4% compounded continuously, and then deposits…

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Q: How much hould I invest now to yield $25 000 in 3 years' time, if the money can be invested at a…

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Q: ...* ... .... ....... If you invest $50,000 at 5% interest compounded continuously, what is the…

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

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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: ow much more will an investment of $15,000 earning 6.5% compounded continuously for 5 years earn…

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

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Q: Melissa wants to buy a bond that will mature to $5000 in six years. How much should she pay for the…

A: The answer is found in step-2

Q: Amy wants to buy a bond that will mature to $5500 in eight years. How much should she pay for the…

A: Consider the following formula of compound interest compounded continuously: Pt=P0ert…

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 $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: 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: A debt of $43,974 is due in 4 years. If the debtor wishes to pay his creditor today at 14%…

A: If the interest is compounded, then the formula that is used is FV=PV1+rnnt. Here FV is future…

Q: How long did it take for an investment of $22,500 to grow to $28,000 at 2.64% compounded…

A: Given  Principal =$22,500 Final Amount =$28000 Rate r=2.64% Compounded semi-annually

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: At what interest rate compounded continuously must money be invested to triple in 6 years? A rate…

A: Continuously interest compounded formula is P(t) =Po ert

Q: How long will it take $10,000 to grow to $12,000 if the investment earns interest at the rate of…

A: We have to find how many years will it take  $10,000 to grow to $12,000 if the investment earns…

Q: Use the compound interest formula to determine how long it will take for a sum of money to double if…

A: Formula for compound interest:

Q: How long will it take $12,000 to grow to $15,000 if the investment earns interest at the rate of…

A: Given :          $12,000 to grow to $15,000 the investment earns interest at the rate of 4%/year…

Q: The parents of a 3-year-old child put $10,000 into an account with the hope that the amount 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…

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

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Q: How much money must be invested now at 10% interest compounded continuously so that $120, 000 will…

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Q: How much should be invested now at an interest rate of 6.5% per year, compounded continuously, to…

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

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Q: At what interest rate compounded continuously must money be invested to double in 4 years? A rate of…

A: Use formula of compounded continuously

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

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

A: We use following equation to get the required interest rate: Here, A = Final amount         P =…

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: 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: Find the interest rate needed for an investment of $9,000 to grow to $13,000 in 3 years if interest…

A: Continuous compounded interest formula: The interest rate is compounded continuously at an annual…

Q: How much should be invested now at an interest rate of 6.5% per year, compounded continuously, to…

A: Let the amount be A invested with an rate of interest of r= 6.5% = 0.065

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

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

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Q: At what interest rate compounded continuously must money be invested to triple in 4 years? A rate of…

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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: At what interest rate compounded continuously must money be invested to double in 9 years? A rate of…

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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.