Miss Frizzle and her students noticed that a particular bacterial culture started off with 356 cells and has increased to 531 cells in 2 hours. If the bacteria continues to grow at this rate, how long will it take to grow 892 cells? Round your answer to four decimal places.

Q: A radioactive substance has a half-life of 1620 years. if its mass is now 15 grams, how much will be…

A:

Q: As part of her fitness program, Karen has taken up jogging. If she jogs 1 mi the first day and…

A: Formula:   Consider the arithmetic progression is a, a+d, a+2d,……….a+(n-1)d. Formula for nth term n…

Q: At the beginning of spring, Caroline planted a small sunflower in her backyard. When it was first…

A:

Q: The number of bacteria in a certain culture was found to be 4 x 10° at noon of one day At noon the…

A:

Q: How long will it take a bus traveling at 60 miles per hour to overtake a car traveling at 40 mph if…

A: Given: A bus traveling at 60 miles per hour to overtake a car traveling at 40 mph

Q: A snail is at the bottom of 10-meter well. Each day it crawls up 3 meters, but at night, it slips…

A: The snail crawls up 3 meters at day, but slips down 2 meters at night. So gradually, everyday it is…

Q: A patient is adminstered a dose of 50 mg of a drug. If the body naturally disposes of 3% of the drug…

A: Amount of drug administered: 50mg Rate of decrease of drug every hour=3% To find amount of drug left…

Q: The temperature of an ingot of silver is60°C above room temperature right now. Twenty minutes ago,…

A:

Q: Researchers recorded that a certain bacteria population declined from 290,000 to 300 in 24 hours. At…

A: Bacteria in 16 hours=?

Q: On a 101-mile trip from Pensacola to Tallahassee, Florida, Shanna drove 8 miles per hour slower than…

A: Given,  Distance of Tallahassee trip =101 mile trip Distance of Orlando trip =182 mile trip- Formula…

Q: A small motorboat travels 16mph in still water. It takes 6 hours longer to travel 52 miles going…

A: To find the rate of current.

Q: The rabbit population in Hancock County, which is currently at 1,900 rabbits, is increasing by 10%…

A:

Q: This year there were 3,000 new births in a county, but new births are expected to grow at a rate of…

A: This year there were 3,000 new births in a county, but new births are expected to grow at a rate of…

Q: One earthquake has magnitude 3.9 on the MMS. If a second earthquake has 600 times as much energy as…

A: The expression to calculate the magnitude of the earthquake is, M=23 log10EE0⋯⋯⋯1 Given, the first…

Q: A family was taking a trip of 225 miles. On the way home, they were able to drive 5mph faster and…

A:

Q: A car purchased for $14, 000 depreciates at a constant rate of 12 % . What will be the value of the…

A:

Q: How much should be invested at 8% to have $1500 at the end of 3.5 years? Round your final answer to…

A:

Q: You invest in an account paying 10% compounded monthly. How long will it take for you to double your…

A:

Q: How long will it take to drill 5 feet if we start at 100 feet?

A: How long will it take to drill 5 feet if we start at 100 feet?  We need to construct regression…

Q: Find the hourly wage for a person with an income of $44762, who works 54 hours a week for 47 weeks.…

A: Here we have to find the hourly income of a person

Q: Perhaps the most intuitive way to compare how fast different populations are growing is to calculate…

A: Let t measure years after 1990 and p measures the population.

Q: Big Jim, engineer of the Oval Express says: "We blew off a cylinder head an hour after leaving the…

A: Let x be the distance travelled before the cylinder blew and s be the corresponding distance. Then…

Q: In an insect colony, there are 280 insects after 9 days. If there were initially 90 insects, how…

A:

Q: The town of Diamond Wish, which initially had 20 000 people, began to experience an exponential…

A:

Q: A giant tortoise can travel 0.12 miles in 1 hour. At this rate, how long would it take the tortaise…

A:

Q: The half-life of radium is 1690 years. If 80 grams are present now, how much will be present in 360…

A: Given query is to find the amount remaining after 360 years.

Q: In a lab experiment, 5300 bacteria are placed in a petri dish. The conditions are such that the…

A: To Determine: How long would it take to bacteria to reach a number of 10500. Given: Bacteria is able…

Q: The half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows…

A: Given: The half-life of carbon-14 is 5600 years. If a piece of charcoal is made from the wood of a…

Q: The temperature of an ingot of silver is60°C above room temperature right now. Twenty minutes ago,…

A: Given: The temperature of an ingot of silver is 60°C above room temperature. Also, the temperature…

Q: An item is on sale for 51% off. If the sale price is $225, what was the original price? Give your…

A: Given An item is on sale for 51% off. Sale price is $225 To find original price.

Q: The half-life of silicon-32 is 710 years. If 70 grams is present now, how much will be present in…

A: The equation governing mass at any time t will be: m(t) = m0e-kt where k = 0.693 / t1/2 = 0.693 /…

Q: A new car is purchased for $25,000 and over time it’s value depreciates by one half every 5.5 years.…

A: Given that initial value = $25000 The value depreciates by one half every 5.5 years So the…

Q: In an insect colony, there are 290 insects after 6 days. If there were initially 80 insects, how…

A:

Q: The ratio of carbon-14 to carbon-12 in a piece of wood discovered in a cave is  R = 1/817.…

A: The carbon model is given by R=11012·e-t8223           ................[1] Given that:R=1817 put in…

Q: Light travels at a rate of 186,000 miles per second. If our moon is 238,860 miles from Earth, how…

A: We know, Speed = DistanceTime ⇒ Time = DistanceSpeed

Q: A house purchased for $199,500 gains 2% of its value every year. If this growth rate continues, in…

A: A=P(1+r)t

Q: On a 101-mile trip from Pensacola to Tallahassee, Florida, Shanna drove 9 miles per hour slower than…

A:

Q: The half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows…

A: The half-life formula is given by: y=a(b)th...(1) where y is the final amount, a is the initial…

Q: A chemical substance has a half-life of 5 hours.How much of a 107-gram sample remains after 12…

A: In this question we have to find sample remain after 12 hour. Formula used N=N0*(1/2)^t/t1/2

Q: For women in a recent triathlon, the average finishing time was 5261 seconds with an SD of 807…

A: It is require to find the value of cutoff time for fastest 5% women( Fastest means the smallest time…

Q: Your deposit of $3000 is now worth $3500. If your money was invested at 6% interest, to the closest…

A:

Q: The size of the wolf population at Isle Royale National Park increases at a rate of 4.3% per year.…

A:

Q: Your speedometer reading is 45 mph, but your tires are larger than factory-installed tires.  The…

A: Given : speedometer reading is 45 mph

Q: A patient is adminstered a dose of 50 mg of a drug. If the body naturally disposes of 5% of the drug…

A:

Q: In a laboratory, it was observed that a colony of bacteria increases at the rate of 30% per hour. If…

A: Given that: Rate of increase = 30%Original number of bacteria = 10000

Q: Each side of a square is increasing at a rate of 2 cm/s. At what rate is the area of the square…

A:

Q: The U.S. Energy Information Administration projected that imports of petroleum products in 2005…

A:

Q: A car purchased for $14, 000 depreciates at a constant rate of 12 % . What will be the value of the…

A:

Q: The population of the Philippines doubled from 1967 to 1997. Assuming the rate of population…

A: Let 'x' be the population of Philippines in 1967. Therefore, in 1997 the population become '2x'   We…

Q: A particular drug is eliminated from the blood with a half-life of 12 hours. If a person has 100 mg…

A: Given that: Initial amount= P0 = 100 mg Half time= H= 12 hours Time=t =6 hours Final amount=P…