A quantity with an initial value of 200 grows continuously at a rate of 4% per second. What is the value of the quantity after 1.55 minutes, 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: A certain radioactive material decays at a rate proportional to the amount present. At time ?=0,…

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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: The half-life of Radium-226 is 10 years. How much of an initial 138 g sample will remain after 49…

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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: A certain radioactive element decomposses at a rate proportional to the amount present. If 100…

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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: 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: 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: If $7000 is invested at 7% compounded continuously, what is the amount after 7 years? The amount…

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

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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: 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 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: find the present value of 4,000 to be received in 5 years, if money may be invested at 7.1% with…

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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: Kayden is going to invest in an account paying an interest rate of 4.2% compounded continuously. How…

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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: A quantity with an initial value of 850 grows continuously at a rate of 90% per decade. What is the…

A: Given: A quantity with an initial value of 850 grows continuously at a rate of 90% per decade. To…

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

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

A: An investment P compounded continuously at a rate of interest of r % per year for t years…

Q: Jackson invested $320 in an account paying an interest rate of 3.2% compounded continuously.…

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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: The half-life of radium-225 is approximately 14.9 days. How much of a 15 gram sample of radium-225…

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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: If 275 mg of a radioactive element decays to 200 mg in 48 hours, what is its half-life?

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

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Q: A tumor is injected with 0.9 grams of Iodine-125, which has a decay rate of 1.15% per day. To the…

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Q: The half-life of Radium-226 is 14 years. How much of an initial 143 g sample will remain after 43…

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Q: Of an initial amount of 4000 g of lead-210, how much will remain in 190 years? Lead-210 decays at a…

A: Here initial amount A0=4000g Decaying rate λ= 3.15% = 0.0315 Let amount remains in 190 years= A(t)

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: 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: 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: The half-life of radium-225 is approximately 14.9 days. How much of a 15 gram sample of radium-225…

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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: 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 ​$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…

A:

Q: A tumor is injected with 0.7 grams of Iodine-125, which has a decay rate of 1.15% per day. To the…

A: The exponential function A = P * (1 - r)t  where A is the final amount and P is your inital amount.…

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: $3,500 is invested at a rate of 6% coumpounded weekly. What is the amount at the end of 15 years?

A: Principal amount P = $3500 Rate r = 6% weekly             =( 6/52)% annually  Time t = 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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Q: Of an initial amount of 7000 g of lead-210, how much will remain in 180 years? Lead-210 decays at a…

A: Given that: Initial amount of lead, P0=7000gRate of decay, k=3.15%per year.

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.