A small locality has a population of 52,365 in 2012. If its population increases 3% every 2 years, a. Derive a function P that determines the population t years after 2012. b. What is the expected population in 2020?

Q: In 1991, the cost of mailing a 1 oz. first-class letter was 29 cents, and the inflation rate was…

A: We need to find out the year in which the cost of mailing a first class letter reach 60 cents.

Q: .Suppose that for a certain disease the cumulative number of deaths is given by 7.8 C(t) = ,…

A:

Q: 17. Lance accidentally lets a spider into the IUPUI experimental nuclear reactor. If the spider…

A: Given function, W(t)=0.01e4.5t Where W(t) is the weight of the spider(in kilograms) after t days.

Q: Suppose that a sum Po is invested at an annual rate of return r compounded continu- ously. (a) Find…

A:

Q: The number of bacteria P (h) in a certain population increases according to the following function,…

A: Here, the given function is: P(h)=1800e0.18h where h is the number of hours and P(h) is the number…

Q: product determines that P percent of the potential market is aware of the product t weeks after the…

A: Given query is to read the graph and solve the questions based on it.

Q: Suppose that a steel company views the production of its continuous caster as a continuous income…

A: Given the income function as, ft=24,000e0.05t.

Q: Based on the information in the following table, use the Exponential Smoothing Approach (a 0.3) to…

A: The formula to find the exponential smoothing is given below: Ft+1=αDt+1-αFt

Q: For positive constants c and k, the Monod growth curve describes the growth of a population, P, as a…

A: Given: P=crk+r Recall: uv=u'v-v'uv2

Q: Suppose that a steel company views the production of its continuous caster as a continuous income…

A:

Q: For oits economy class accomodation from Cebu City to Manila, a shipping line gives free passagw to…

A: Given, For oits economy class accommodation from Cebu City to Manila, a shipping line gives free…

Q: On a certain day, the electric power in thousands of megawatts used by a major city can be…

A: topic - average rate of change

Q: The usual estimate that each human-year corresponds to 7 dog-years is not very accurate for young…

A: The function for dog-years is given as , fx=10.5x ,                0≤x≤221+4x-2 ,     x>2  where…

Q: Suppose that a steel company views the production of its continuous caster as a continuous income…

A: Monthly rate flow is , f(t)=36,000e0.03t. "t" denotes number of months. We have to find for 12…

Q: Suppose that a steel company views the production of its continuous caster as a continuous income…

A: Given that a steel company views the production of its continuous caster as a continuous income…

Q: A national census is mandated by the Constitution of Pakistan to be held every ten years. After the…

A: at year 1972 i.e. t = 0, P = 65.309 at year 2017, i.e. t = 2017-1972 = 45, P = 207.774

Q: A delivery truck is purchased new for $59,000. Part 1 of 4 (a) Write a linear function of the form…

A: According to our guidelines , we can answer only first three sub parts . Kindly re-post other parts…

Q: If a population of buffalo are becoming extinct. Assume that 150 years ago there were 100,000…

A: This question is about application of differential equation

Q: The number of bacteria in a certain sample increases according to the following function, where y,…

A: Given that, the number of bacteria in a certain sample increases according to the following function…

Q: Suppose that a steel company views the production of its continuous caster as a continuous income…

A:

Q: The following functions give the populations of four towns with time t in years. (i) P = 700(0.90)'…

A:

Q: Exer. 31-32: Find an exponential function of the form f(x) = ba-* + c that has the given horizontal…

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: 4. A particular automobile is worth $15,200 today and will be worth $9,800 in three years. a) At…

A:

Q: One article states that each one-second delay in loading search results has the effect of…

A: It is given that the probability that the customer makes the purchase is p=0.9 and t be the time it…

Q: A quantity Q1 grows by 3% every hour. If the initial quantity (at t = 0) is Qo = 90, complete the…

A: Topic:-  function

Q: If the base b of a triangle is increasing at a rate of 3 inches per minute while its height is…

A:

Q: The size of a population p as a function of time t is given by = 0.02p + 9t, Solve for p as a…

A:

Q: During which interval is the following function increasing at the greatest average rate? -4 -2 O(-…

A: Here we have given a function. We have to find in which interval the function is increasing at…

Q: Please see photo attached

A:

Q: #3 The population in a region can be approximated by the function P(t) = 325 + (t + 10)e-(t+10)/20…

A:

Q: 11) Find the rate of change of output with respect to time, if the production function is Q =…

A:

Q: A beekeeper estimates that the number of bees in a particular hive at the start of 2019 is 500, and…

A: We need to describe the equation of b-1 in words.

Q: 4- The gross domestic product (GDP) of a certain country was N(t) = t² + 5t + 106 billion dollars t…

A:

Q: (1) Assuming the rate of leakage decreased linearly from 62000 to 53000 barrels per day during the…

A: Consider the provided question, The function f(t) for the daily rate of leakage in terms of time t…

Q: It is estimated that t years from now the population of a city will be…

A: The given equation for population of a city is P(t)=30(50+3t)2-1400t To find instantaneous rate of…

Q: #2: Another city showed the exact opposite, its population was increasing by 15%. If in 1980 it also…

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: 1. A beekeeper estimates that the number of bees in a particular hive at the start of 2019 is 500,…

A: (a) Explanation: The general form of growth model when the initial size is given and the subsequent…

Q: The population of Minnetonka, Minnesota is given as a function P (t) = 40e' e0.02t where P(t) is…

A:

Q: Calculate the average rate of change of the given function over the interval [1, 3] 1 Mx) 4 15 -9 03…

A: Given

Q: Given that height of the water in a tank is increasing at a constant rate of 3.7 cm/min, use the…

A: Rate of increasing height of the water in a tank= 3.7 cm/min, Time (in min) Height of water (in…

Q: The country of Benin in West Africa has a population of 9.05 million people. The population is…

A: We use growth function.

Q: b) Assume the rate of investment is given by the function K' (t) = 1(t) = In t Compute the total…

A:

Q: The population of a colony of mosquitoes obeys the law of uninhibited growth.(a) If N is the…

A: Since The population of a colony of mosquitoes obeys the law of uninhibited growth.  (a) If N is the…

Q: The following functions give the populations of four towns with time t in years. (i) P = 900(1.13)'…

A:

Q: A species of animal is discovered on an island. Suppose that the population size P(t) of the species…

A: Given Population size P(t)=4501+5e-0.29t, where t is timeThe population after 4 years…

Q: ) Find a formula for the weekly cost C as a function of the number of employees n.

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: 2. Sam bought a new car from a dealer. If the car loses 20% of its value each year, the current…

A:

Q: A van is purchased new for $29,200.  a. Write a linear function of the form y = mt + b to represent…

A: a. It is given that, the van was purchased at the rate $29,200 and the vehicle is depreciated by…