Actinium-226 has a half-life of 29 hours. If 100 mg of actinium-226 disintegrates over a period of 58 hours, how many mg of actinium-226 will remain?

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

A: First we construct the function for population for  some year t

Q: An isotp[e pf thorium has a half-life of 18.4 days. To the nearest day, how long will it be until…

A: Here we shall use the formula for radioactive decay, A=A02-th Where A is the amount of material at…

Q: Suppose that a university had an enrollment of 9000 students in 1991 and each year thereafter…

A: The initial number of students in 1991 is 9000. It is given that every year the students increase by…

Q: On average, a person devotes 34 years to sleeping and watching tv. The number of years sleeping will…

A:

Q: A total of $6000 is invested, part of it at 4.25% and the rest at 5.75%. Thetotal interest after one…

A: Let $x was invested in 4.25% and (6000-x) in 5.75%  So the total interest earned is: 4.25% of x +…

Q: new homeowner purchases furniture worth $10,000, which depreciates at a constant rate of 7% every 2…

A: NOTE: Refresh your page if you can't see any equations. . the initial worth is $10000 sot ake…

Q: Suppose Elizabeth takes a 700 mg dose of ibuprofen and every hour that passes the amount of…

A:

Q: The population of Boomtown is currently 12000 and expected to grow by 2.6% over the nex What will…

A: 1)Given data,Population of Boomtown is =12000And its expected to grow by 2.6%what will be the…

Q: A garden watering bucket has 3000 milliliters of water in it, but there is a hole that is leaking 18…

A: Given  bucket has water = 3000 ml every minute leaking water = 18 ml

Q: A growing deer population increases by 2 animals per year. If the current population is 49 animals,…

A:

Q: I am three times as old as my son ,Five years later,I shall be two and half times as old as my son…

A: Given :I am three times as old as my son. Five years later, I shall be two and half times as old as…

Q: Suppose the population of a city increases by 8.4% every 6 years. The current population is 124,000.…

A: Current population is: 124,000 Population increases by 8.4% every 6 years.

Q: There are originally 245 foxes and 124 rabbits on a reserve. The fox population grows a rate of 30…

A:

Q: Consider an object in a surrounding with a constant temperature of 25C. If the temperature of the…

A:

Q: How many hours would it take to breathe one billion times if you were breathing at a rate of 12…

A:

Q: The half-life of the radioactive element krypton-91 is 10 seconds. If 16 grams of krypton-91 are…

A: Given: The half-life of the radioactive element krypton-91 is 10 seconds.

Q: A new coal-burning power plant can generate 1.5 gigawatts (billion watts) of power. Burning 1…

A: The given data is: The coal-burning plant generates 1.5 gigawatts Burning 1 kilogram of coal yields…

Q: The lithium battery of the new iPhone lasts 10 hours when fully charged; but each time it is…

A:

Q: If a pathogen spreads at .01 per day in a population if unchecked. In how many days will the number…

A: Consider the provided question, Given, World population P0 = 6 billion Birth rate - death rate =…

Q: In Lixue’s garden, the green pepper plants grew 5 inches in 3434 month. At this rate, how many feet…

A:

Q: The lithium battery of the new iPhone lasts 10 hours when fully charged; but each time it is…

A: To find (a) Capacity of phone's battery after 1 year, after 2 year(b)Total usage of hours in two…

Q: San is 108 year old. Jon is 24 years old. How many years will it take for San to be exactly 4 times…

A: Let x years be needed for San to be exactly 4 times as old as Jon.

Q: The population of Bunny Kingdom is monitored by a bunny enthusiast, who notices that the population…

A:

Q: 1100- protein 1050+ 1000+ 950 complex carbohydrate 900- 850 0.5 1 1.5 2 2.5 3 Number of hours…

A: After Jake ate a bagel, a complex carbohydrate, he noticed that his blood glucose level decreased…

Q: The population of Boomtown is currently 2000 and expected to grow by 2.7% over the next year. What…

A: Given that ; For Boomtown   Current population (P) = 2000 Growth rate = 2.7% For Dullsville…

Q: a town has a population of 18000 and grows at 2% every year. what will be the population after 11…

A:

Q: An inlet faucet can fill a small pond in 60 minutes. The pond can be emptied by an outlet pipe in 80…

A: Consider the provided information, How long will it take the pond to fill? Let x- rate of inlet pipe…

Q: How many years will it take $5,000 invested at 8% simple interest to double? How long will it take…

A:

Q: The product of john age (in years) for 5 years age with his age (in years) 9 years later is 15 .Find…

A: The product of john age (in years) for 5 years age with his age (in years) 9 years later is 15

Q: In four years time a mother will be three times as old as her son. Four years ago she was five times…

A: Let M be the present age of the mother and S be the present age of the son.

Q: A pot of 180-degree water is placed in a freezer that is set to 20 degrees. The water cools to…

A:

Q: We have 25 days of school left how many weeks of school is that?

A:

Q: How many years would it take to breathe one billion times if you were breathing at a rate of 12…

A: We can use the simple arithmetic in order to solve the problem.

Q: A town has a population of 11000 and grows at 4% every year. What will be the population after 15…

A:

Q: A total of $11000 is invested, part of it at 6.8% and the rest at 8.2%. Thetotal interest after one…

A: Let $x invested in 6.8% and (11000-x) invested in 8.2% So total interest earned is: 6.8% of x + 8.2%…

Q: A growing deer population increases by 7 animals per year. If the current population is 30 animals,…

A:

Q: An inlet pipe on a swimming pool can be used to fill the pool in 47 hours. The drain pipe can be…

A: Assume volume of the pool be x. Volume filled by Inlet pipe PI in 47 hours = x So volume filled by…

Q: the population of a pod of southern right whales has doubled in size recently over a 9-year period.…

A:

Q: A growing deer population increases by 2 animals per year. If the current population is 49 animals,…

A: 59 animals

Q: A bacteria doubles every 12 minutes.  If we started with 10 bacteria how many will we have after 30…

A: A bacteria doubles every 12 minutes and we started with 10 bacteria.We have to find how many…

Q: A population of deer in a forest doubles every 462 days. If there are 56 deer in the forest, how…

A: Doubling of deer in = 462 days Number of days in 6 years = 365*6…

Q: A substance has a half-life of 2.045 minutes. If the initial amount of the substance was 132.8…

A: Use the formula for the amount remaining after n- half lives of a radioactive substance.

Q: In how many years will the age of the mother is 3 times the age of the daughter If her  mother now…

A: Topic:- algebra

Q: A growing deer population increases by 4 animals per year. If the current population is 41 animals,…

A: Given that:   The population of deer increase by 4 animals per years and the current population are…

Q: A Bacteria grows at a rate of 25% each day. If there are 500 bacteria today , how many will there be…

A: Given,          A Bacteria grows at a rate of 25% each day. If there are 500 bacteria today.…

Q: You have 160 grams of a substance. If it has a half life of 8 days, how much will be left after 32…

A: You have 160 grams of a substance. If it has a half life of 8 days, how much will be left after 32…

Q: As the biologist for a certain crocodile farm, you know that its carrying capacity is 20,00…

A: Given information: The capacity of the farm is 20,000 crocodiles. The initial release is 5000…

Q: If tacomas population in 2000 is 200,000 and it grows by 8% a year, what is the population in 2012?

A: Given: Population in 2000 is 200,000. It grows by 8% a year. Required: To find the population in…

Q: If a radioactive element has a​ half-life of ​4 hours, then x grams of the element dwindles to x/2…

A: If a radioactive element has a​ half-life of ​4 hours, then x grams of the element dwindles to x/2…

Q: 2. Suppose a bacteria sample contains 1000 bacteria. 6 hours later, there are 2400 bacteria. Find…

A: This can be express by exponential model : Where, a = initial value = 1000 b = growth rate

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.