The amount of carbon-14 present in a tree is given by the formula C(t)=C0e−.00012t, where C0...

The amount of carbon-14 present in a tree is given by the formula C(t)=C₀e^−.00012t, where C₀ is the amount of carbon-14 present in it at the time of its death and t is the number of years that have elapsed since it died. If the plant has 15% of its original carbon-14, how old is it?

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milcah answered 1 year ago

The formula for the amount A in an investment account with a nominal interest rate r at any time t is given by A(t) = a(e)rt, where a is the

The formula for the amount A in an investment account with a nominal interest rate r at any time t is given by A(t) = a(e)rt, where a is the amount of principal initially deposited into an account that compounds continuously. Prove that the percentage of interest earned to principal at any time t can be calculated with the formula I(t) = ert − 1.

Assume the information for the economy is the following: C = c0 + c1Yd, where c0...

Assume the information for the economy is the following: C = c0 + c1Yd, where c0 = 400 and c1 = 0.75 I = 700 G = 500 T = 600 Write out the full Z equation … and include the numbers Find the multiplier Find the autonomous parts of Z Find Y = Z using equilibrium = multiplier x autonomous Find Y = Z using full Z equation method Find Saving Show that (S – I) = (G –...

Assume the following information for the economy: C = c0 + c1Yd, where Yd = (1-t)Y ...

Assume the following information for the economy: C = c0 + c1Yd, where Yd = (1-t)Y C = 200 + 0.75(1-.2)Y I = I I = 700 G = G G = 800 X = X X = 400 M = mY M = 0.1Y Find the savings.

An Egyptian mummy is discovered in which the amount of Carbon-14 present is only about twenty-nine...

An Egyptian mummy is discovered in which the amount of Carbon-14 present is only about twenty-nine fiftieths the amount found in living human beings. a. Using the half-life of Carbon-14, determine the decay constant for Carbon-14 (answer in decimal form and scientific notation, accurate to the tenth decimal place)? b. About how long ago did the Egyptian die? c. If this is a royal tomb, which Pharaoh is in the sarcophagus? Which dynasty and regnal years are recorded for this...

c. What is the present value (i.e., the value at t = 0, where t counts...

c. What is the present value (i.e., the value at t = 0, where t counts years) of the following stream of payments if the effective annual interest rate is .03 (i.e., 3% per annum): The first payment of $100 is made in 10 years (at t = 10). There are 10 more payments after that first payment that occur every 1.5 years. Each of these subsequent payments are 5% larger than the previous payment.

The formula for an increasing population is given by P(t) = P0 ert where P0 is the initial...

The formula for an increasing population is given by P(t) = P0 ert where P0 is the initial population and r > 0. Derive a general formula for the time t it takes for the population to increase by a factor of M.

Carbon 14 (C-14), a radioactive isotope of carbon, has a half-life of 5730 ± 40 years....

Carbon 14 (C-14), a radioactive isotope of carbon, has a half-life of 5730 ± 40 years. Measuring the amount of this isotope left in the remains of animals and plants is how anthropologists determine the age of samples. Example: The skeletal remains of the so-called Pittsburgh Man, unearthed in Pennsylvania, had lost 82% of the C-14 they originally contained. Determine the approximate age of the bones assuming a half-life of 5730. (a) 14,000 years (b) 15,000 years (c) 17,000 years...

why isnt carbon 14 dating reliable?c

Suppose the followings represent the goods market: C = C0 + c(Y-T) (Consumption Function) I =...

Suppose the followings represent the goods market: C = C0 + c(Y-T) (Consumption Function) I = I0 - d.i (Investment Function) G = T = T0 (Government’s Balanced Budget Condition) Suppose the followings represent the financial markets: Md = a - b.i (Money Demand Function) Ms = M0 (Money Supply Function) i) Please compare the Money Demand Function represented above with the standard Money Demand function (referred in your book) and discuss about similarities and differences? ii) Describe the equilibrium...

In the formula A(t)=A0e^kt, A is the amount of radioactive material remaining from an initial amount...

In the formula A(t)=A0e^kt, A is the amount of radioactive material remaining from an initial amount A0 at a given time t, and k is a negative constant determined by the nature of the material. A certain radioactive isotope decays at a rate of 0.175% annually. Determine the half-life of this isotope, to the nearest year.

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