A new compound called Corpium radioactively decays at the rate of -0.035% every year. If there is initially 500g of it in 2020, how much will remain in 2050?

Q: 100mg sample of tritium-3 decayed to 94.5mg after a year. (i) What is the half-life of tritium-3?…

A:

Q: 4. Radium decomposes at a rate proportional to the amount present. If half the original amount…

A: Solve differential equation

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

A:

Q: In the early 1960s, radioactive strontium-90 was released during atmospheric testing of nuclear…

A: the radioactive decay is a continuous process. Therefore, A=A0ert where A is the amount remaining,…

Q: 4. How much should be invested at 12.5% compounded continuously to end up with $1000 at the end of 5…

A:

Q: 2. A certain radioactive substance decays half of itself every 5 days. Initially, there are 50…

A:

Q: A 35-year-old teacher is offered an opportunity to invest some money in a retirement account that…

A: As per our guidelines, we can answer one question only. please repost other seperately.

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

A:

Q: An element with mass 140 grams decays by 21.6% per minute. How much of the element is remaining…

A:

Q: If half a certain amount of radium decays in 1600 years. What percentage of the original amount will…

A:

Q: 6. A sample of tritum-3 decayed to 94.5% of its original amount after a year. (a) What is the…

A: A sample of tritum-3 decayed to 94.5% of its original amount after a year. Note:   Multiple…

Q: Radium decomposes at a rate proportional to the quantity present. If at the end of 20 years…

A: Solution

Q: 1. The population of Kuhala Island doubles every 3 decades. 2. The amount of radioactive isotope of…

A: Whether each given is an exponential function, exponential equation, or exponential inequality or…

Q: Suppose a sample of a certain substance decayed to 65.8% of its original amount after 300 days. (Ro…

A: Given that the substance decayed to 65.8% of its original amount after 300 days. (a) To determine…

Q: A sample of tritium-3 decayed to 94.5% of its originalamount after a year.(a) What is the half-life…

A: A sample of tritium-3 decayed to 94.5% of its original amount after a year. We have to find (a) What…

Q: 2. Radioactive isotope Carbon-14 decays at a rate proportional to the amount present. If the decay…

A: Solve for the mass after time 2.2 thousand years

Q: 9. If 75 mg of a radioactive substance decays to 15 mg in 20 years, find the Half-Life, in minutes,…

A:

Q: A lab currently has 70 mg of radioactive material that decays at 3.5% per year. Federal regulation…

A:

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: There are 5,000 wolves in the park, but their population is expected to decay at a rate of 8% per…

A: Given, initially , wolves in the park = 5000 Decay of population = 8% per year finally , wolves in…

Q: 6. A certain material decays at a rate of 0.92% per year. How much of 260 grams of the material will…

A: Given that a material decays at a rate of 0.92% year. We need to find how much of 260 grams of the…

Q: An initial population of 8,000 decays for two years until the population is 500. By what percentage…

A: Given-  An initial population of 8,000 decays for two years until the population is 500. To…

Q: 3. A radioactive substance has a half-life of 1620 years. If its mass is now 4 grams, find the time…

A:

Q: 28)  A sum of OMR (160000) is invested at an interest rate compounded continuously. After 9 years…

A:

Q: 4.A radioactive substance loses 3% of its substance every 5 years. What is the half-life of this…

A:

Q: A certain substance decays so that each year 92% of the previous year's material is still present.…

A: A substance decay such that each year 92% of the previous year's material still remains. So, 8% of…

Q: 7. A radioactive material decays at a rate proportional to its amount. If the material has a…

A:

Q: 4. The half-life of carbon-14 is approximately 6000 years. How much of 800 g of this substance will…

A:

Q: 2-Suppose that the half-life of a certain radioactive substance is 2 days and there are 50g…

A: After each half life the amount left will be half the initial amount.

Q: What interest rate is needed for $200 to grow to $500 in 5 years if the interest is compounded…

A: To find the interest rate

Q: if $8,000 is invested at 5.5% compounded continuously, how much money will there be at the end of 7…

A:

Q: 6. Determine the initial amount of radioactive substance if after 22 years, the remaining…

A: To find the initial amount of radioactive substance, decay rate and half-life of the substance.

Q: 9. If you invest $2500 at 2.8% compounded continuously how much will you have at the end of 10…

A:

Q: 22)  A linen artifact found in a crypt contains 95 percent of the carbon-14 that is present in…

A: Given that: Half life of carbon=5730 yearsPercentage of carbon present=95%

Q: A certain element decays at a rate of .000163/year. Of a piece of this element of 450 kg, how much…

A:

Q: Element X decays radioactively with a half life of 9 minutes. If there are 170 grams of Element X,…

A: Given- Element X decays radioactively with a half life of 9 minutes and there are 170 grams of…

Q: a car sells for $12,500 and one year later it is valued at $11,375. find the decay rate of the car

A: Explanation of the answer is as follows

Q: 4. A deposit of $400 is made in an account that earns interest at an annual rate of 2.5%. How long…

A:

Q: Suppose a sample of a certain substance decayed to 79.6% of its original amount after 300 days.…

A:

Q: 1. The population of a certain country has grown at a rate proportional to the number of people in…

A:

Q: 1. Carbon 14 is a common form of carbon which decays over time. The initial amount of carbon 14…

A: Please see the below pictures for detailed solution.

Q: 2) Bank A offers 5% nominal interest compounded every 3 months. What is the nominal interest rate…

A: Given that, Bank A offers 5% nominal interest compounded every 3 months.

Q: 6. An antibacterial substance is applied to a bacteria culture of 5000 bacteria. After 10 days, the…

A: The initial population is 5000. The population after 10 days is 100. We need to determine the decay…

Q: A new car that sells for $19,000 depreciates (decreases in value) 21% each year. What is the decay…

A:

Q: 1. The radioactive isotope hydrogen-3 has a half-life of 12.3 years. a. If a sample of 80 mg of…

A:

Q: 9. A sample of tritium-3 decayed to 94.5% of its original amount after a year (a) What is the…

A: Consider N (t) is the amount of tritium-3 relative to the original amount, then general form is,

Q: 6. Determine the initial amount of radioactive substance if after 22 years, the remaining…

A:

Q: 1. The value of a car depreciates at a rate of 12% per year. If its original cost is $12,000.00,…

A:

Q: Find the compound amount.

A: 1-Suppose that OMR 240000 is invested at an interest rate of 6.2% per year, compounded 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.