Q: A certain radioactive material decays at a rate proportional to the amount present. At time ?=0,…
A:
Q: The radioactive isotope of lead Pb-209, decays at a rate proportional to the amount present at any…
A: The differential equation for decay is dAdt=kA dAA=k·dt ⇒∫dAA=∫k·dt⇒lnA=kt+c1A=ekt+c1A=ektec1A=Cekt…
Q: Suppose that fis an exponential function with percentage decay rate of 5% and that f(0) = 9. Find a…
A:
Q: Find the effective rate of interest. For 6% compounded continuously
A:
Q: (5) Suppose 2 mg of a drug is injected into a person's bloodstream. As it metabolizes, the amount of…
A: Initially 2 mg of drug is injected and it decreases at the rate of 4% each hourWhen must the person…
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: What is the total amount of 24000 TL with 4,8 % continuously compound interest after 5 years?
A: Consider the formula for continuous compounding, A=P·er·tHere,P=principalr=rate of interestt=time…
Q: Find the effective rate of interest.; For 4% compounded continuously
A: 4% compounded continuously.
Q: 2) 12
A:
Q: What is the total amount of 4500 TL with 3,7 % continuously compound interest after 3 years?
A: Given Present value (P)= 4500 TL Rate (r)=3.7% Number of years (t)= 3
Q: ind the half-life of a radioact
A: Given that: Rate = 12 %
Q: Compute sinh(ln 5) and tanh(3 ln 5) without using a calculator.
A:
Q: . Estimate dx with an error less than 10-3.
A: Series sum estimation:
Q: A quantity with an initial value of 200 grows continuously at a rate of 55% per day. What is the…
A: Let the quantity Pn grown continuously at a rate of 55% per day. Initial quantity is P0=200.
Q: A quantity with an initial value of 220 grows continuously at a rate of 9.5% per hour. What is the…
A: Consider the provided question, Given, initial value = 220 Rate, r = 9.5% = 0.095 per hour t = 225…
Q: (4) If the population of bacteria in a certain region triples in 50 days. In how many days will be…
A: Assuming the rate of increase is proportional to the number of inhabitants. To find- No. of days in…
Q: A quantity with an initial value of 840 decays continuisly at a rate of 5% per day. What is the…
A:
Q: $400 invested at 7% compounded continuously after aperiod of 3 years
A:
Q: At what rate is the production of fish changing with respect to time 5 months from now?
A: Given Data: Production of pounds of fish per month is: QK=109K13 ......1 Total investment is:…
Q: Suppose that $15,000 is invested and at the end of 3 yr, the value of the account is $19,356.92. Use…
A: Given : $15,000 is invested and at the end of 3 yr, the value of the account is…
Q: 2-if y³ = ln xx
A: Please refer to the image below
Q: At what intrest rate would a deposit of $30,000 grow to $70,895 in 20 years with continious…
A:
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: The radioactive isotope lead has a half-life of 3.3 hours and decays at a rate proportionate to the…
A: This is a problem of differential equation and integration. Based on the given scenario first of all…
Q: 4.) The half-life of strontium-90 is 28 years. Find the rate of decay. How long will it take a 50 mg…
A:
Q: Create a function in VBA of the equation of exponential curve fitting of The Annual Revenues of…
A: it graph based problem try to substitute each value of x from 0 to 5000 and with obtain values try…
Q: A quantity with an initial value of 200 grows continuously at a rate of 4% per second. What is the…
A: To find: The value of quantity after 1.55 minutes. Given: The initial value of quantity is 200 and…
Q: 7. A radioactive material decays at a rate proportional to its amount. If the material has a…
A:
Q: A quantity with an initial value of 8200 grows continuously at a rate of o.55% per decade. What is…
A:
Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…
A:
Q: Find the amount after 3 years if $ 1000 is invested at an intrest rate of 12% per year, compounded…
A: Given : The amount invested is $1000. Interest rate = 12% per year.…
Q: A radioactive substance decays at a continuous rate of 17% per day. After 8 days, what amount of…
A:
Q: A quantity with an initial value of 310 grows continuously at a rate of 8.5% per second. What is the…
A:
Q: The half-life of radioactive cobalt is 5.27 years. Suppose that a nuclear accident has left the…
A: we have to determine time before the region is again habitable
Q: 2. Suppose that a bacteria population is dying off at a rate of 30% per day. How much of the…
A:
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: Suppose the half-life of a certain radioactive substance is 20 days and that there are5 grams…
A: Given that, The half-life of a certain radioactive substance is 20 days and that there are 5 grams…
Q: The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain…
A: Given: Half life of Radim -225 =1590 a sample of 400mg how much of radium is left after 3000y
Q: A certain radioactive substance decomposes at a rate proportional to the amount present. Of the 1000…
A:
Q: A radioactive material decays at a rate proportional to its amount. If the material has a half-life…
A: model is A=A0ektfor half-life put A=A02thenA02=A0ektsolving for t, we get k=-ln(2)t
Q: A quantity with an initial value of 870 decays continously at a rate of 0.75% per day. What is the…
A:
Q: suppose that the lifetime of a light bulb is exponentially distributed with mean 2 years. what is…
A: Let X=the lifetime of a light bulb Given that X follows an exponential distribution with mean=2 So,…
Q: What initial investment at 8% compounded continuously for 5 years will accumulate to $50, 000?
A:
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: When we take measurements of the same general type, a power law of the form y = ax often gives an…
A: (b) Given that X´=log(X) and Y´=log(Y) X Y X´ Y´ 2 1.81 0.30103 0.257679…
Q: 2. A radioactive material loses 25% of its mass in 10 minutes. What is its half-life?
A: Let No be the initial mass, N be remainingmass. Then N= No - 25100 No = No - No4=34NoHence t…
Q: he radioactive isotope gallium 67 has a biological half-life of 36 hours. If re start with 100…
A:
Q: Suppose you deposit 3 000 at a 6% interest compounded continuously. What will the Average value of…
A: Given Deposit =$3000 Interest=6% Compounded continuouslyA=Pert
Q: 8. Determine the half-life of the substance if an initial 150mg has decayed to 50mg in a an of 20…
A: Given query is to find half life and the time when 95% amount decayed.
Step by step
Solved in 2 steps with 2 images