124. Spreading of Rumors A model for the number N of people in a college community who have heard a certain rumor is N = P(1 – e015d) where P is the total population of the community and d is the number of days that have elapsed since the rumor began. In a community of 1000 students, how many days will elapse before 450 students have heard the rumor?

Q: 106. Spreading of Rumors A model for the number N of people in a college community who have heard a…

A: Given model is N=P1-e-0.15d.

Q: A dangerous radioactive element is to be used in a medical procedure at a hospital. Its half-life is…

A:

Q: 2) A bacteria culture is known to grow at a rate proportional to the amount present. After one hour,…

A:

Q: Carbon Dating The age of an ancient artifact can be determined by the amount of radioactive…

A: The formula for carbon-dating is A=-8267 lnDD0, here A is the age of the artifact, D0 original…

Q: 1. One person at an airport starts a rumor that a plane has been hijacked, and within 10 minutes 200…

A: This is a problem related to extrapolation and interpolation. Here we will assume the linear trend…

Q: 32. Eliminating a disease Suppose that in any given year, the number of cases of a disease is…

A: Given- The number of cases of a disease is reduced by 20% and  there are 10,000 cases today. To…

Q: Part d

A:

Q: ​Uranium-238 (U-238) has a​ half-life of 4.5 billion years. Geologists find a rock containing a…

A: Given Uranium-238 (U-238) has a​ half-life of 4.5 billion years. Geologists find a rock containing a…

Q: 13. After a recent Arlington High School basketball game, traffic was exiting the parking lot at a…

A: At the starting i.e. , m = 0 ,number of cars = 922Per minute number of cars existing = 28

Q: Cooling Air As a parcel of air rises (for example, as it ispushed over a mountain), it cools at the…

A: To find: A formula for the sequence of temperatures, {Tn}, of a parcel of air that has risen n…

Q: 2. On a college campus of 5000 students, the spread of flu virus through the student is modeled by…

A: The given exponential equation is :                                 P(t)=50001+4999e-0.8t This…

Q: 55. Advertising The effectiveness of a television commercial depends on how many times a viewer…

A: Given En=23n-190n2

Q: China’s Shale-Natural Gas The estimated annualproduction of shale-natural gas in China for the…

A: Given model is y=0.01311.725x Where 'x' is number of years after 2010.

Q: 11. You are cooking aleecha, an Ethiopian stew. When you take it off the stove the temperature is…

A:

Q: A dorm at a college houses 1400 students. One day, 20 of the students become ill with the flu, which…

A:

Q: A pot of boiling soup with an internal temperature of 100◦ Fahrenheit (F) was taken off the stove to…

A:

Q: A certain bacteria is growing at 32.8% per day. a. Find the time it will take for a sample of the…

A:

Q: 13. After a recent Arlington High School basketball game, traffic was exiting the parking lot at a…

A: As per our guidelines we are supposed to solve only one question. For the solution of the first…

Q: Spreading of Rumors A model for the number N of people in a college community who have heard a…

A: To find: The number of students that heard the rumor after 3 days: Given: The model function is…

Q: decreases by 25% from the second year. How many teams are in the league in increasés by 20% in its…

A: Given that , In first year there are 20 teams.

Q: 2. You have bought a car for $50,000. You were so excited. However, you then found out that the car…

A:

Q: Salary If you take a job with a starting salary of $35,000 per year and a guaranteed raise of $1400…

A:

Q: In a murder investigation, a corpse was found by a detective at exactly 8PM. Being alert, the…

A:

Q: 56. Pharmaceuticals When a certain drug is taken orally, the concentration of the drug in the…

A: Ct=0.06t-0.0002t2 Comparing with Ct=at2-bt+c, we get a=-0.0002,  b=0.06  &  c=0 Now maximum…

Q: 1400 A dorm at a college houses 1400 students. One day, 20 of the students become ill with the flu,…

A: Given that a dorm at a college houses 1400 students. One day, 20 of the students become ill with…

Q: 6) Spreading of Rumors A model for the number N of people in a college community who have heard a…

A: Given, a model for the number N of people in a college community who heard a certain rumor is…

Q: 1+4700 e ial outbreak in a particular community. . How many people became ill with the flu when the…

A:

Q: The Famous Cat and Mouse Problem. On an island that had no cats, the mouse population doubled during…

A:

Q: 4. A bacteria culture is known to grow at a rate proportional to the amount present. After one hour,…

A: Given: a bacteria culture is known to grow at a rate proportional to the amount present. After one…

Q: 7. The actual half-life of amoxicillin is about 62 minutes. Recall that half-life is the amount of…

A: The actual half-life of amoxicillin is about 62 minutes. Recall that half-life is the amount of time…

Q: Going Green The average person uses 2200 paper napkins in one year. Write the formula for a func-…

A: Given: The average person uses 2200 paper napkins in one year

Q: An​ (open) electrical circuit consists of an​ inductor, a​ resistor, and a capacitor. There is an…

A: Given : E(t) = 23 cos(t) , current (I) = 2 amp

Q: Carbon dating The half-life of C-14 is about 5730 yr.a. Archaeologists find a piece of cloth painted…

A: Carbon dating The half-life of C-14 is about 5730 yr. We have to answer the following... (a).…

Q: 58. Agriculture At a certain vineyard it is found that each grape vine produces about 10 lb of…

A: Consider the following function: An=700+n10-0.01n Here, n is the number of additional vines planted…

Q: 2. A thermometer reading 45°C is brought outside where the temperature is 25°C. Five minutes later…

A:

Q: 2. A pharmaceutical company is testing a new drug. After a person takes Ao mg of the drug, the…

A:

Q: 13. After a recent Arlington High School basketball game, traffic was exiting the parking lot at a…

A: Find out cars remaining after T minutes after the game at the given rate, as follows: Slope=Rate=-28…

Q: 5. In 1994, the city of Amuel had a population of 1,256 people. That same year a factory opened near…

A: The population growth formula: The population P after time t in the rate of r with initial…

Q: 29. A bacteria culture starts with S00 bacteria and doubles in size every half hour. (a) How many…

A:

Q: The effectiveness of a television commercial depends on how many times a viewer watches it. After…

A: The given function is En=23n-166n2We need to check where the function En has maximum value.

Q: 4. The population of shrimp in the Gulf of Mexico has been declining due to environmental declines…

A: If we have that the initial amount is f(0)=a0=3.4 million tons and after n years the amount of…

Q: Acme Widget Company manufactures widgets of different sizes. The monthly cost c(n) (in dollars) to…

A: According to question,Given monthly cost,cn = 3.5 n + 12000

Q: a grave in Egypt proved to have only 58% of the Carbon-14 of living tissue. The half-life of…

A: It is given that,  Seeds found in a grave in Egypt proved to have only 58% of the Carbon-14 of…

Q: 5. A dead body was found within a closed room of a house where the temperature was a constant 21° C.…

A: Given:    From Newton's Law of cooling:     T'=kT-Tm     ∫dTT-Tm=∫k dt    lnT-Tm=kt+C1…

Q: A particular bacterium is found to have a doubling time of 20 minutes. If a laboratory  culture…

A: The growth of bacteria can be modelled by the exponential growth function y=y0ekt where y0 is the…

Q: 51. An accident at a nuclear power plant has left the surround- ing area polluted with radioactive…

A:

Q: [5] 3. A cup of coffee has a temperature of 90° C when it is poured and allowed to cool in a room…

A: To apply Newton law of cooling, T=Ts+To-Tse-kt…

Q: An employee invests £1000 at the end of each month into her Pension Fund for 30 years. What is the…

A:

Q: 14. The population, P, of Colorado Springs, Colorado is given by P = 361,000ektwhere t = 0…

A: Given P = 361000ekt     .......[1]So, we have the given population, which was 20 yrs before where t…