A certain element decays at a rate of .000163/year. Of a piece of this element of 450 kg, how much will remain in ten years?

Q: You have 48,000 saved. How long will it take for that to double in value if it is 10% compounded? a)…

A: a) Initial amount =P= 48000 Final amount= A= 2(48000)=96000 Interest rate = r= 10%=0.10 time = t=?…

Q: A car is purchased for 38,000 and it depreciated it value by 1/2 every 4.5 years how long to the…

A: Given Information- A car is purchased for = 38,000 units Its value is depreciating by 1/2 every 4.5…

Q: 350 mg of aspirin is taken by a patient who has a severe headache due to a migraine. Suppose that…

A: Solution:      Given              350mg of aspirin is taken,                 half life =15 min    we…

Q: five thousand dollars is deposited into a savings account that has interest compounded continuously.…

A:

Q: carbon-14? The decay​ rate, k, of​ carbon-14 is

A: The general exponential function of decaying is given as: A=A0e-kt where A is present amount Aο is…

Q: A wooden artifact from an ancient tomb contains 20 percent of the carbon-14 that is present in…

A:

Q: If Sandago has a present population of 70,000, and thr population is increasing by 3% each year.…

A: By using the formula you can solve the problem as follows :

Q: A wooden artifact from an ancient tomb contains 55 percent of the carbon-14 that is present in…

A:

Q: A sample of radioactive material decayed to half of its original amount in 4 years. How long did it…

A: Given: A sample of radioactive material decayed to half of its original amount in 4 years To…

Q: A principal of 7650 OMR is invested at rate of 3.7% compounded continuously. After. how many years…

A: To find the number of years for the investment on the principal value (P)=7650 OMR to first exceed…

Q: A ball is dropped from an initial height of 5 metres. As it bounces, it returns to 80% of its…

A: Calculate the heights of the first three bounces.

Q: A wooden artifact from an archaeological dig contains 70 percent of the Carbon-14 that is present in…

A:

Q: The population of Jefferson City is 95,000. Assuming a growth rate of 2.5% pee year, what will the…

A: Given that population of Jefferson city is P=95,000.  growth rate is R=2.5% per year we have to find…

Q: Q6. SR2, 800 is needed for a purchase. The buyer has SR2, 500 and will invest the money at 9% annual…

A:

Q: How long will it take 200,000 to increase by 80,000 if invested at 8% converted annually

A: Here in the given question:   Principal amount P = 80,000   Final amount (A) = 2,00,000   Interest…

Q: 6000 at 6% compounded  semiannually for 2yr

A:

Q: The value of a savings bond is growing by 2.8% per year compounded continuously. At this growth…

A:

Q: 15,000 that deprediates 11% yearly How much will it be in 10 years

A:

Q: How old is skeleton that has lost 55% of its carbon-14? The half-life of carbon-14 is 5700 years.…

A: Given that The half-life of carbon-14 is 5700 years To find How old is skeleton that has lost 55% of…

Q: A wooden artifact from an ancient tomb contains 65% of the carbon-14 that is present in living…

A: the radioactive decay equation is  given by m=m0e-ln2t't where t' is the half life. the tomb…

Q: How long, to the nearest year, will it take an investment to triple if it is continuously compounded…

A: The objective is to the nearest year, it will take an investment to triple if it is continuously…

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.