Suppose an Egyptian mummy is discovered in which the amount of carbon-14 present is only about one-fifth the amount found in living human beings. The amount of carbon-14 present in animal bones after t years is given by y= yo e0.0001216 where yo is the amount of carbon-14 present in living human beings. About how long ago did the Egyptian die? About yr ago the Egyptian had died. (Round to the nearest integer as needed.)

Q: Suppose a sample of a certain substance decayed to 73.2% of its original amount after 300 days.…

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Q: The half-life of Palladium-100 is 4 days. After 16 days a sample of Palladium-100 has been reduced…

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Q: Complete the table shown to the right for the half-life of a certain radioactive substance. Decay…

A: We know that the half - life of a substance is given by : t1/2 = 0.693/k where, k is the decay…

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Q: Suppose a sample of a certain substance decayed to 77.4% of its original amount after 300 days.…

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Q: If a population is now 7.4 billion people and it continues to grow at an annual rate of 1.4%…

A: Given, Initial Population = 7.4 billion Annual Rate = 1.4% To find A=Pert Here,  P = 7.4×109 r =…

Q: The half-life of Palladium-100 is 4 days. After 12 days a sample of Palladium-100 has been reduced…

A: Given, The half-life of Palladium-100 is 4 days. After 12 days a sample of Palladium-100 has been…

Q: The half-life of Palladium-100 is 4 days. After 12 days a sample of Palladium-100 has been reduced…

A: Half life formula is  N(t)=N012tt(half) N(t) is the final mass N0 is the initial mass half life is…

Q: A bank offers 4% compounded continuously. How soon will a deposit do the following? (Round your…

A: We know A= Pxert where, A = compounded amount t= time period in yrs P = amount deposited = principal…

Q: The half-life of Palladium-100 is 4 days. After 16 days a sample of Palladium-100 has been reduced…

A: Solution:-step-1 half-life-formula A=a12thA=final amounta=initial amountt=timeh=half-lifeA=2t=16…

Q: How long does it take until 5% of the isotope technetium-99m d) nains? Round to the nearest tenth of…

A: Topic:- exponential decaying function

Q: if the principal p is invested at an interest rate r compounded annually, the amount after t years…

A: Here, A=20,000P=10,000r=15%=0.15

Q: The compound interest formula states that if P dollars are invested at an annual interest rate of r,…

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Q: The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium-100 has been reduced…

A: Given: half life of palladium-100 is 4 days  After 20 days a sample of palladium-100 was reduced to…

Q: $8,000.00 is invested at an APR of 4.2% compounded semianually (twice per year). Write a numerical e…

A: Use formula of compound interest

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Q: O $30,000 is invested at 6% interest compounded quarterly, Using the formula A= P(1+E)nt de termine…

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Q: How much must be invested today at 10%, compounded continuously, to be worth $271,000 in 10 years?…

A: We need to find principal value P.

Q: If 14 g of a radioactive substance are present initially and 9 yr later only 7 g remain, how much of…

A: Initial mass M0=14g , after t=9 yr the remaining mass M=7g We have t=1λlnM0M Therefore λ=1tlnM0M or,…

Q: Complete the table shown to the right for the​ half-life of a certain radioactive substance. ​…

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Q: If the half-life of a radioactive substance is 5,200 years, then at what rate is it decaying? (Hint:…

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Q: If the principal P is invented at an interest rate r compounded anually, the amount A after t years…

A: Given P = 10000A = 20000r = 15%

Q: In the formula A(1) = Pe" for continuously compound inter- est, the letters P, r, and i stand for.…

A: The given formula is At=Pert. Here,  P=Principal r=rate of interest t=time in years. At=Amount after…

Q: The half-life of Palladium-100 is 4 days. After 12 days a sample of Palladium-100 has been reduced…

A: answer: The amount of radioactive substance after 't'  days is given byN=N0e-λtwhere N0-initial…

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Q: A certain species of alligators is to be introduced into a swamp, and wildlife experts estimate the…

A: Let's find.

Q: Suppose a sample of a certain substance decayed to 75.6% of its original amount after 300 days. (a)…

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Q: The half-life of Palladium-100 is 4 days. After 12 days a sample of Palladium-100 has been reduced…

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Q: Suppose the amount of Carbon-14 remaining in a sample of 100 milligrams after X years can be…

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Q: A vehicle purchased for $29800 depreciates at a constant rate of 4%. Determine the approximate…

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Q: In the formula A(t)=Pert for continously compound interest , the letters P,r and t stand for…

A: Given: The formula A(t)=Pert.   If $100 is invested at an interest rate of 6% compounded…

Q: The half-life of Palladium-100 is 4 days. After 12 days a sample of Palladium-100 has been reduced…

A: According to the problem, we have

Q: A bank offers 10% compounded continuously. How soon will a deposit do the following? (Round your…

A: Given: r = 10% compounded continuoslyt = time in yearsLet say, P    =  Principal amountAt=…

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Q: A vehicle purchased for $29800 depreciates at a constant rate of 6%. Determine the approximate value…

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Q: Find simpler expressions for the quantities eln πx-ln 2

A: Given,           elnπx-ln2

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Q: Use the given formula A = p(1+ r)' $1000 invested for 10 years at 11% compounded annually produces…

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Q: Suppose a population of bacteria in a Petri dish has a tripling time of 6 hours. How long will it…

A: Given the population of bacteria in a Petri dish has a tripling time of 6 hours. Let the initial…

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A: Given data: Future value FV =$10000, number of periods n=5*12 =60 Periodic rate of interest r = 4%…

Q: If 14 g of a radioactive substance are present initially and 8 yr later only 7 g​ remain, how much…

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Q: The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the…

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Q: Find the present value of $45000 due 15 years later at 7.8%, compounded continuously. 24

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Q: Q1) The doubling time for a certain virus is 3 yr. How long will it take for the virus to increase…

A: Here we will find out the required value.

Q: If 18g of a radioactive substance are present initially and 4 yr later only 9g​ remain, how many gs…

A: It is simple unitary method problem.

Q: The half-life of Palladium-100 is 4 days. After 12 days a sample of Palladium-100 has been reduced…

A:

Q: The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium-100 has been reduced…

A: Solution

Q: How long (in years) will it take a $300 investment to be worth $1000 if it is continuously…

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Q: A bank offers 4% compounded continuously. How soon will a deposit do the following? (Round your…

A: Find the years

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.