you have 6,128 grams of a radioactive kind of indium. If it's half life is 2 hours, how much will be left after 6 hours

Q: Many soft drinks contain about 40 mg of caffeine in one can. Every 5 hours, the mass of caffeine in…

A: Hope it is useful

Q: Amina is currently twice as old as her younger brother, Saar. In 4 years, Amina will be 50% older…

A:

Q: The population of a city is 259,000. The population declines by 3.2% every year, what will the…

A: Ans= 159012  Detailed solution I have done step by step....go through the solution

Q: A certain antique car’s value increases by 6% each year. if the current value of the car is $42,600,…

A:

Q: a golf cource charges $52 for a round of golf using a set of their clubs, and $44 if you have your…

A: Calculation:From the given information, the amount gained by using the own set of clubs is ($52 –…

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: Zack is 4 times as old as Salman. Zack is also 3 years older than Salman. How old is Zack?

A: Let the age of Zack be x years and the age of salman be y years.Given that Zack is 4 times as old as…

Q: The number of bacteria triples each day. How many bacteria will a sample have after ten days if it…

A:

Q: John read 66 books in one year. At this rate, how many would he read in four months?

A:

Q: a small herd of cattle consumes fourteen bales of hay in 2 weeks. how many bales will this herd…

A: Given:Herd of cattle consumes fourteen bales of hay in 2 weeks.

Q: How many times greater is the value of the 3 in 230,716 than the value of the 3 in 23,716?

A: The given numbers are 230,716 and 23,716.   Identify the place of 3 in both the numbers:   It is…

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: ichard invests $275.04 every month into his 401k.  At the end of 30 years, he has a balance of…

A: Richard invests $275.04 every month. At the end of 30 years, he has a balance of $182,086.68.

Q: An inlet pipe can fill a backyard pool in 10 hours, while the drain can empty it in 12 hours. If…

A: The fraction of the pool fill in 1 hour will be 110. The fraction of the pool drain in 1 hour will…

Q: If you consume 1000 calories per day and burn off 900 calories per day, how many calories do you…

A: I burn off 900 calories per day and consume 1000 calories per day. So, per day my calories gain =…

Q: Bob is 2 years from being twice as old as Ellen. The sum of twice Bob’s ageand three times Ellen’s…

A:

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: As the biologist for a certain crocodile farm, you know that its carrying capacity is 20,000…

A: Initial number of crocodile was 5000. After 6 weeks it becomes = 7500. Let say, in every week the…

Q: In an election contested between A and B, A obtained votes equal to twice the number of persons on…

A: Given:In an election contested between A and B, A obtained votes equal to twice the number of…

Q: A collectible baseball card is predicted to increase in value by 6.5% each year. If a baseball card…

A:

Q: Each day, the nuber of births in the world exceeds twice the number of deaths by 72 thousand. a.)…

A: (a) Let us assume that m represent the number of deaths (thousand) and n represent the number of…

Q: A bread recipe requires 2 1/4 cups of warm water. If you make 3 batches of bread, how much water is…

A:

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

A: Given that I am breathing at a rate of 12 times per minute. Let I need t minutes to breathe one…

Q: A frog is in a well 12 feet deep, each day the frog climbs up 3 feet, and each night it slips back 2…

A: Depth of well = 12 feet To calculate: Number of days required by frog to get out of the well  Given:…

Q: A combined total of $49,000 is invested in two bonds that pay 4% and 6.5% simple interest. The…

A: Here is the solution.

Q: If you start with 7,152 grams of a radioactive kind of lanthanum and the half-life is 93 minutes,…

A: Given that                                 m0=7152 gramsHalf life, T1/2=93 minutes we have to find…

Q: . The population of a community will be treble by the year 2009. If the population in the year 1998…

A: We have to solve the given problem.

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

A:

Q: A small herd of cattle consumes fourteen bales of hay in two weeks. How many bales will this herd…

A: To determine: A small herd of cattle consumes fourteen bales of hay in two weeks. How many bales…

Q: Suppose Jacqueline takes a 800 mg dose of ibuprofen and every hour that passes the amount of…

A:

Q: Maria is 36 years old. Maria was twice as old as Adrian was when Maria was as old as Adrian is now.…

A: Given that Maria is 36 years old. Also, Maria was twice as old as Adrian was when Maria was as old…

Q: when you were a freshman, there were 350 students in your class. in recent years, only 4 out of 7…

A: Total number of student in class: 350

Q: Samuel can clean the house in 4 hours. Mya can clean the same house in 3 hours. How long would it…

A:

Q: The population of a city is 385,000. The population declines by 3​% every​ year, what will the…

A:

Q: One and one-half ounces of a medication are required for a 180-pound adult. At the same rate, how…

A: One and one-half ounces of a medication are required for a 180-pound adult.Consider x as the…

Q: Janes mother is 3 times as old as Jane, and in 16 years from now she will be twice as old as Jane is…

A:

Q: Gwen is twice as old as Arni was when Gwen was as old as Arni is now. If Gwen is 24 years old now,…

A:

Q: At Janice's current age she is not only 5 times as old as Ross, but she is also 28 years older than…

A:

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: The number of people infected with coronavirus doubles every 3.0 days. How many days does it take…

A: Given that the number of people infected with coronavirus doubles every 3.0 days.

Q: Alewuya invests a total of $23,500 in two accounts. The first account earned an annual interest rate…

A:

Q: The population of a city is 323,000. The population declines by 3.8% every year, what will the…

A: topic- exponential function

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: Ashley is 64 years old and Stephanie is 18 years old. How many years will it take until Ashley is…

A: Solution of the problem as follows

Q: A cell phone costs $750 and loses 28% of its value each year. What is the value of the phone after 2…

A:

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: It is estimated that the city of Houston, Texas, will double in size every 35 years. If the…

A: Since we have             P(t) = p. 2td Then          P(t) = 2.4. 2t35 Therefore t =20years,…

Q: A man’s age is 36 and that of his daughter is 3 years. In how many years will the man be 4 times as…

A: Man's age = 36 Daughter's age = 3  Let after x years man will be 4 times as old as his daughter

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.