A quantity with an initial value of 850 grows continuously at a rate of 90% per decade. What is the value of the quantity after 59 years, to the nearest hundredth?

Q: If $6000 is invested at 3% compounded continuously, what is the amount after 8 years? The amount…

A: Answer  is   7625

Q: How long, to the nearest year, will it take me to become a millionaire if I invest $3000 at 9%…

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Q: Assume that radium disintegrates/decomposes at a rate proportional to the amount present. If 100 mg…

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Q: If $5000 is invested at 8% compounded continuously, what is the amount after 3 years? The amount…

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

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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: Camila invested $9,100 in an account paying an interest rate of 4.6% compounded continuously.…

A: Given problem:- Camila invested $9,100 in an account paying an interest rate of 4.6% compounded…

Q: 10. Oscar invests $46,200 in an account that earns 3.675% interest, compounded continuously. How…

A: Given , Oscar invested amount 46,200 dollars .             Interest is 3.675% it is compound…

Q: Find the present value of $4000 payable at the end of 4 years, if money may be invested at 6% with…

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Q: How much will a deposit of 5000 taka grow to in 20 years at 6% interest compounded continuously?

A: If the interest is compounded continuously, then the following formula is used. A=Pert , where, A is…

Q: What rate is required to grow 100 to 10,000 in 10 years?

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Q: A quantity with an initial value of 840 decays continuisly at a rate of 5% per day. What is the…

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Q: How long, to the nearest year, will it take an investment to double if it is continuously compounded…

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Q: If the present value of $1000 to be received in 5 years is $559.90, what rate of interest,…

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Q: If 7000 dollars is invested in a bank account at an interest rate of 5 per cent per year, compounded…

A: Given that, the initial amount is P=7000 interest rate is r=5%, compounding period is p=1 and final…

Q: Find the present value of $2000 to be received in 10 years, if money may be invested at 8% with…

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Q: Of an initial amount of 9000 g of lead-210, how much will remain in 120 years? Lead-210 decays at a…

A: Apply the formula  P(t)=Po(1-r)t where, Po is the initial quantity r is the rate and t is the time.…

Q: An investment is made at 3.931% per year, compounded continuously. what is the doubling time?

A: Given: Rate of interest, r=3.931% compounded per year. The objective is to find the number of years…

Q: How many years will it take for an initial investment of $25,000 to grow to $80,000? Assume a rate…

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

A: Formula to calculate continuously compounded interest: A = Pert where, A is Amount at time t,P =…

Q: If the present value of $1000 to be received in 5 years is $548.80, what rate of interest,…

A: Given values Present value, P=$1000 time, t=5 years Amount, A=$548.80 For calculating rate of…

Q: How long to the nearest year will it take $50,000 to triple in values at7.5% annual interest…

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Q: Find the accumulated amoust of P6,428 at the rate of 11% compounded continuously after 6 years.

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Q: Suppose you invest $1600 at an annual interest rate of 4.6 % compounded continuously . How much will…

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Q: Interest is compounded continuously at 5%.  How long until a $5000 investment grows to $12000?

A: Interest is compounded continuously at 5% $5000 investment grows to $12000

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: If $2000 is invested at 6% interest, find the amounts due to the nearest cent at the end of 4 years…

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Q: A quantity with an initial value of 8200 grows continuously at a rate of o.55% per decade. What is…

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Q: An initial amount of $1800 is invested in an account at an interest rate of 3.5% per year,…

A: givenP=$1800r=3.5%=0.035t=7 yearssince we are solving compouded continuously ,then we apply this…

Q: If $6,000 is invested at 3% compounded continuously, what is the amount after 7 years? The amount…

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Q: What initial investment at 6% compounded continuously for 8 years will accumulate to $50,000? (Round…

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Q: How much will $100 grow to if invested at a continuously compound interest rate of 8.5% for 9 years?

A: The compound interest formula for an amount P compounded annually at an interest rate of r% for a…

Q: Suppose the population of a certain bacteria in a laboratory sample is 100. If it doubles in…

A: We have to find the growth rate.

Q: A scientist begins with 450 grams of a radioactive substance. After 55 minutes, the sample has…

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Q: Mr. Reyes places 100,000Php in a time deposit which pays nine percent per annum compounded…

A: topic - exponential function

Q: Three thousand dollars is deposited in the bank at 4% interest compounded continuously. What will be…

A: It is given that Money in the account $3000 Interest rate   We have to find the average value of…

Q: A quantity with an initial value of 870 decays continously at a rate of 0.75% per day. What is the…

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

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Q: What initial investment at 8% compounded continuously for 5 years will accumulate to $50, 000?

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

A: We can find the required year in the following steps.

Q: A quantity with an initial value of 8200 grows continuously at a rate of 0.55% per decade. What is…

A: Initial Value=  8200. Growth rate= 0.55% . We can formulate the following equation for "t" years :…

Q: Bella invested $8,400 in an account paying an interest rate of 1.9% compounded continuously.…

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Q: If $8000 is invested at 6% compounded continuously, what is the amount after 2 years? The amount…

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Q: Find the present value of $1000 payable at the end of 3 years, if money may be invested at 8% with…

A: This is a question based on compound interest. we have to calculate on the basis of continuous…

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: A quantity with an initial value of 3600 grows continuously at a rate of 2.5% per decade. What is…

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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 4 yr if…

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Q: consider an investment where $42000 is invested for 15 years at 6% compounded continuously. how much…

A: Given  Invested amount = $42000 interest rate = 6 % compounded continuously  time = 15 years

Q: If the half-life of a radioactive substance is 7,300 years, then at what rate is it decaying? (Hint:…

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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.