12 Select the correct answer. A population of frogs in a pond increases at an annual rate of 22%. If there are 100 frogs in the pond, which equation gives you a model for h many frogs there will be in time tyears? OA P, = 100e0.22t 0.2 = 100e ? OB. Oc. P; = 100e O D. P, = 100e-0.22t

Q: The population of a certain inner-city area is estimated to be declining according to the model P(t)…

A: Given, P(t)= 436000e-0.022t t= 14 years where t is time and P is the population of certain inner…

Q: It is estimated that t years from now the population of a city will be P(t) 20(65 + 51)2 – 1400t.…

A:

Q: n 1960, the population of a town was 1414 thousand people. Over the course of the next 50 years, the…

A: We need to find out the population in 2030.

Q: 1. A sum of $1000 is invested in a bank account that pays 10% compound interest monthly. The amount…

A: (a)Use the general formula for the compound interest to determine the values for k and a.…

Q: The annual net income of a company for the period 2007-2011 could be approximated by P(C) = 1.62? –…

A: the net income is P = 1.6t2 - 15t +44    billion dollars  (2≤t≤6)

Q: Find the associated half-life time or doubling time. (Round your answer to three significant…

A:

Q: The height (in meters) of a projectile shot vertically upward from a point 2 m above ground level…

A:

Q: Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the…

A: The cost of a new computer is $900. The value of the computer decreased by 25% of the previous…

Q: The number N of bacteria, in grams, present at time tin hours) obeys the law of uninhibited growth…

A: Growth function given by: N(t)=1000e0.027t. Therefore, dNdt=1000×0.027×e0.027t=27e0.027t. Therefore,…

Q: A whole life insurance provides a death benefit at the moment of death equal to 1. If death occurs…

A: Given:-                 A whole life insurance provides a death benefit at the moment of death equal…

Q: Question in Picture please at the top

A: Using given information draw the figure as shown below.

Q: The current population of St. Catharines is about 133000. Suppose a major devel- opment is planned…

A:

Q: Students in a mathematics class were given an exam and then retested monthly with equivalent exams.…

A:

Q: ue opens a bank account with $1 and an interest rate of 2%, compounded ontinuously. The amount of…

A: Topic = Algebra

Q: #2 Suppose a certain drug is administered to a patient, with the percent of concentration of the…

A:

Q: A certain radioactive material known to decay at a rate proportional to the amount present. If…

A: We will construct a differential equation according to the given information and solve it using the…

Q: Crude oil imports to one country from another for 2009-2013 could be approximated by the following…

A:

Q: . A new teaching method to teach vocabulary to sixth-graders involves having students work in groups…

A: Logarithmic functions and exponential functions are considered to be the inverses of each other as…

Q: Many animal populations, such as that of rabbits, fluctuate over ten-year cycles. Suppose that the…

A: Given  N(t) = 1000cos(πt5) + 4000

Q: W = 13.12 + 0.62157 – 11.37v0.16 + 0.3965TV0.16 where T is the temperature (°C) and v is the wind…

A:

Q: The number N of bacteria in a culture is given by the model  N = 230ekt,  where t is the time (in…

A:

Q: he rate of growth of a bacterial population is given by a' (t) = 39t e* here t is time in days. What…

A:

Q: The city of Vero Beach has a current population of 16,196. With a projected growth rate of 1.5%, the…

A:

Q: (ii) The value V of a Porsche 718 Cayman that is t years old can be modeled byV(t) =…

A:

Q: Based on premilinary reports by geological survey team it is estimated that a newly discovered gold…

A:

Q: A factory installs new equipment that is expected to generate savings at the rate of  900e−0.2t…

A: a) To find the total saving we integrate the rate

Q: Complete the table by finding the balance A when P dollars is invested at rate r for t years and…

A:

Q: 1) Increasingly scientists believe that the melting rate of the ice sheets of Greenland and…

A:

Q: Use the equation we have derived for carbon dating, N(t) = No e - 0.0001216 to answer the following…

A:

Q: P1 = 4e0.5t The population of two different species are given by P1 and P2. where t is measured in…

A:

Q: Find the associated half-life time or doubling time.  (Round your answer to three significant…

A: At half life-time Q=Q0/2 Q0/2=Q0e−8t 1/2=e−8t e8t=2

Q: For this equation is about the exponential growth and decay functions. In which rewrite…

A:

Q: 2) A ball is launched upward from a height 40 feet above ground level. The ball's height at t…

A: a) The ball's height at t seconds is given by h(t)=-16t2+128t+40At h = 100,

Q: (b) Solve the initial-value problem and then use a graphing utility to verify the solution curve in…

A: Given the given initial value is dNdt=N1-0.0004N N0=1

Q: 3. In a certain section of the country, it is estimated that t weeks from now, the price of beef…

A: Given Information Where p(t) is the price of the beef t weeks from now Given Initial Condition We…

Q: 3. Suppose that Katanga Motors' share of the new cars sold in Ghana is charging at the rate of f(t)…

A: As per the company policy i can answer only first question for you, More than that leads me towards…

Q: 7. The expected population in Gatford t years from now is given by the function P(t) =…

A: topic - exponential function  note : as per bartleby guidelines, we are supposed to answer only…

Q: An evergreen nursery usually sells a certain shrub after 6 years of growth and shaping. The growth…

A:

Q: In a certain environment, a colony of bacteria grows according to the model A = A0e^0.06t, where A…

A:

Q: No growth or decay occurs when r = 1. If P = (625)(1)t, then find P0 = _________ P1 = _________ P2…

A:

Q: 5. A population of bacteria decreases according to the following model: P(t)= 20(0.95) where P0) %3D…

A: (a) On January 1st the value of t = 0 days.Substitute  t = 0  in P (t) and find P (0).Hence, number…

Q: 4. If t is in years since 1990, the population, P, of the world can be modeled by P = 5.3e0.014…

A: Given the world population since 1990 is,  P = 5.3e0.014t  (in billions)  Where t is the number of…

Q: 16) In 2003, the population of the state of New York was 10.78 million people. In 1990, it was 7.99…

A: (16) Given that population of the state in 2003 of New York was 10.78 million population of the…

Q: It is estimated that within ? years, the local newspaper circulation will be ?(?) = 100?2 + 400? +…

A: Part(a): Given function is, ct=100t2+400t+5000......(1) Differentiate the equation (1) with respect…

Q: Find the associated half-life time or doubling time. (Round your answer to three significant…

A:

Q: P1 = 4e0.6t 1 P2 = 9e0.4t where t is measured in The population of two different species are given…

A:

Q: The population of Stroudsburg is 65,500 and is increasing at annual rate of 2.25%. This situation is…

A: Given: The equation,  where, P(t) represents the total population and 't' represents the number of…

Q: 1. Public health records indicate that t weeks after the outbreak of a certain form of influenza,…

A:

Q: 1. A sum of $1000 is invested in a bank account that pays 10% compound interest monthly. The amount…

A:

Q: 3x 2=e4 1. Suppose acupof Cocoa cooled from 0°C to 60° was 20°c Gfer 10 in a room whose temp. min.…

A: For cocoa Initial temperature Ti = 90°C Final temperature Tf = 60°C Time taken = 10 minutes Room…