A quantity with an initial value of 110 grows continuously at a rate of o.5% per hour. What is he value of the quantity after 6 hours, 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 bank pays interest at a rate of 5%. What is the yearly multiplier if interest is compounded (a)…

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

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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: 6. The radioactive isotope of lead, PB-209, decays at a rate proportional to the amount present at…

A: Let's find time to take 90% of the lead to decay.

Q: Dylan is going to invest in an account paying an interest rate of 4.1% compounded continuously. How…

A: topic - exponents

Q: The population of a community is known to increase at a rate proportional to the number of people…

A: Assuming continuous compounding P=P0eKt P→Population at moment in time P0→initial Population…

Q: The amount of carbon 14 remaining in a sample that originally contained A grams is given by C(t) =…

A: The amount of carbon 14 remaining in a sample that originally contained A grams is given bt…

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

A:

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: 3. Radium decomposes at a rate proportional to the amount at any instant. In 100 years, 100 mg of…

A: Given: initial mass of Radium  y0=96 mgWe know that General decay equation is y=y0e-kt…

Q: At the time of the birth of a child, a parent wants to begin a college fund that will grow to $43000…

A: Given that the interest is compounded continuously

Q: At what nominal rate compounded continuously must money be invested to double in 6 years? A rate of…

A: We will solve the problem

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: Determine the equivalent effective rate of a money compounded continuously at r=5%.

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Q: An isotope of cesium has a half life of 29 years. If 1300 grams of cesium disintegrates over a…

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

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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: Suppose a population of fruit flies changes at a rate of g(t) = -4e0.041, in flies per day. If the…

A: Here we have a population of fruit flies that changes at a rate of g(t)=-4e0.04t…

Q: 3. If a radioactive substance is quickly decaying at a rate of 13% per hour approximately how much…

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Q: Find the amount that results from the given investment. $10 invested at 9% compounded continuously…

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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: A radioactive substance has a half life of 175 years. Find the decay constant, r, for this…

A: A radioactive substance has a half life of 175 years

Q: If the half-life of a radioactive substance is 6,800 years, then at what rate is it decaying? (Hint:…

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Q: Following the birth of a child, a parent wants to make an initial investment P, that will grow to…

A: Given Initial amountP=P0 Interest rater=6%=0.06 Time t=18 years Future valueA=70,000

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: Given an interest rate of 7.2% per year, compounded continuously. What is the quarterly interest…

A: Given query is to find the quarterly intrest rate.

Q: ers to th

A: In this question, the concept of Continuously compounding is applied. Continuously Compounding…

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…

A:

Q: 1. The rate of decay of radium is said to be proportional to the amount of radium present. If the…

A: Since you posted two questions here, i can answer only first one at a time. Please repost other…

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

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

A: Let Q  = amount of substance present            dQdt=kQ             integrating on both sides…

Q: 2. At what rate of interest, compounded continuously will an investment double in six years? 3.…

A: (2) given that the principle amount will gets doubled in six years if the amount is compounded…

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

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Q: A 5kg sample of plutonium-239 has a half-life of 21,400 years by emitting a 5.157 MeV (million or…

A: Let's find time to taken sample to degrade to 4.5kg.

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.

Q: Suppose that you invest $8,000 at 8% interest compounded continuously. How much money will be in…

A:

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.