A quantity with an initial value of 8200 grows continuously at a rate of o.55% per decade. What is the value of the quantity after 97 years, to the nearest hundredth?

Q: Compute the compound interest. 7) How long will it take for $600 to grow to $26,600 at an interest…

A: for the continuous compound, the formula is  A=Pert A=26600 P=600 r=6.2%=0.062

Q: Of an initial amount of 6000 g of lead-210, how much will remain in 110 years? Lead-210 decays at a…

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Q: 4. How much should be invested at 12.5% compounded continuously to end up with $1000 at the end of 5…

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

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Q: At what nominal rate compounded continuously must money be invested to triple in 7 years? ..... A…

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Q: An initial amount of $1900 is invested in an account at an interest rate of 8% per year, compounded…

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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…

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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 the half-life of a radioactive substance is 7,600 years, then at what rate is it decaying? 1…

A: We can find the rate of decay as below.

Q: 1. Radium decomposes at a rate proportional to the amount present. In 100 yrs, 100 mg of radium…

A: Given that Radium decomposes at a rate proportional to the amount present. In 100 years, 100 mg of…

Q: How much money will there be in an account at the end of 7 years if $13000 is deposited at a 3.5%…

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Q: Of an initial amount of 5000 g of lead-210, how much will remain in 120 years? Lead-210 decays at a…

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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: How much money will there be in an account at the end of 6 years if $14000 is deposited at a 5.5%…

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Q: How many years will ittake for an initial investment of $10,000 to grow to $25,000?Assume a rate of…

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Q: 4.) The half-life of strontium-90 is 28 years. Find the rate of decay. How long will it take a 50 mg…

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Q: Suppose $5,000 is invested at an annual interest rate of 7%. Compute the balance after 10 years if…

A: Given that  Initial amount of investment =$5000 Interest rate = 7% = 7/100 = 0.07 Time (t) = 10…

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: Suppose a sample of a certain substance decayed to 73.6% of its original amount after 300 days.…

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Q: An initial amount of $3700 is invested in an account at an interest rate of 6.5% per year,…

A: Given :Initial Amount = P=$3700Interest rate = 6.5% per year=6.5100=0.065Time = 2years

Q: A ranch experienced growth of its gopher population at a 1.5% annual rate, compounded continuously.…

A: Exponential growth function =A = Pert → 1Given A = 78        r = 1.5% = 1.5100…

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: Suppose the amount of a certain radioactive substance in a sample decays from 3.60 mg to 800. pg…

A: We have to find the half life of substance.

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

A: topic - exponential function

Q: Of an initial amount of 8000 g of lead-210, how much will remain in 120 years? Lead-210 decays at a…

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Q: A quantity with an initial value of 2000 grows exponentially at a rate of o.35% every 2 days. What…

A: Given, A quantity with initial value of 2000 grows exponentially at a rate of 0.35 % every 2 days We…

Q: If the half-life of a radioactive substance is 6,700 years, then at what rate is it decaying? 1…

A: The decay law is given by, A(t)=A0e-kt Where, A0 is the amount at t=0. And, t1/2=ln2k

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: Of an initial amount of 4000 g of lead-210, how much will remain in 130 years? Lead-210 decays at a…

A: Find much much will remain

Q: 2. Assume that radium disintegrates/decomposes at a rate proportional to the amount present. If 100…

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

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Q: An initial amount of $1800 is invested in an account at an interest rate of 7% per year, compounded…

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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: 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: An initial amount of $2200 is invested in an account at an interest rate of 5.5% per year,…

A: This question is related to Compound Interest, we will solve it using given information.

Q: . How long, to the nearest year, will it take me to become a millionaire if I invest $1,000 at 10%…

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

A: We have to find how fast balance will grow per year after 4 year

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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Q: Assume a quantity decreases by 5.1% in 7.5 hours.What is the half-life of the substance?

A: Given:A quantity decreases by 5.1% in 7.5 hours.

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.