In country A, national census takes place every five years. The total population in country A is 100 million in 2015 and 107 million in 2020. Suppose the country has constant annual population growth rate. Write the population P as a function of time t. Here t stands for ”the number of years after 2015”

Q: 15. Jackson builds legos at a rate of 3 projects per hour. Write a function that represents the…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: In 2016, an investment of $1000 was made in a bond earning 6% compounded annually. Assume that the…

A: Given:  To Find: Complete the table using the given function Concept Used: We are given certain…

Q: A new laptop is purchased and after one year it is worth $713.50, but after two years it is worth…

A: Consider the provided information, A laptop is purchased and after one year its cost reduced and…

Q: Let f(x) = (x + 5)² and g(x) = 1 – 5x. (a) Only one of the two functions f and g is linear. Which…

A:

Q: A 2005 study by the Fisheries Research Services in Aberdeen, Scotland, suggests that the average…

A:

Q: 3.) The table shows projections for female population of a country in millions Year 2025 2045 2060…

A:

Q: The quantity of an element is decaying over time such that the amount of material at any time is…

A:

Q: Find a function that models the population t years after 2000 (t = 0 for 2000).

A:

Q: Mr. Investment is projecting to make a substantial amount of money using this function, A = Pe".In…

A: Given,  Principal = P = $ 650 Amount = A = $ 950 return rate = r = 1.08 %  A = Pert   t is the time…

Q: A certain animal species can increase its population exponentially. If the population can reach…

A:

Q: The function models the number of people, f(t), in a city who have become ill with influenza t weeks…

A: The given function models the number of people, f(t), in a city who have becomeill with influenza t…

Q: Quacked town has a population of 4000 in 2010 and a population of 4400 in 2015. Find a formula for…

A:

Q: Assume that Switzerland's population grows at a rate of 0.16 percent a year and that the 1988…

A:

Q: In mid to late March a COVID analyst predict the number of US cases could be modeled by the function…

A: Given: In mid late March a COVID analyst predict the number of US cases could be modeled by the…

Q: The following figure shows the growth of a population as a function of time. P C В Population A (a)…

A:

Q: After Jill took 400 mg of ibuprofen, the medicine in her system decreased by about 65% every hour.…

A: let 't' be time in hoursg(t) be the function which defines the amount of ibuprofen in jill's body

Q: Short-track 500-m speed skating became a Winter Olympic event in 1994, and Chae Ji-Hoon of Korea won…

A: Given that Chae Ji-Hoon of Korea won the short-track 500-m speed skating in 1994 with a time of…

Q: Determine whether function whose values are given in the table below could be linear or exponential.…

A:

Q: Assume you have a savings bank account that initially contains Mo dollars. At the end of each year,…

A:

Q: Let P(t) = 100(1.025)' be the estimated population of wolves in a provincial park and S(t) = 200 +…

A:

Q: A delivery truck is purchased new for $54,000.  a.  Write a linear function of the form y = mt +b to…

A: According to the given information:Cost of the new delivery truck = $54,000Depreciated value per…

Q: A graph of a population of yeast cells in a new laboratory culture as a function of time is shown…

A:

Q: A towns population, each year, can be modeled by the function P=12000(1.025)^t how fast, as a…

A:

Q: The altitude of an airplane is represented in the graph below. Altitude (feet) 48,000 36,000 24,000…

A: Option

Q: A personal-computer salesperson receives a base salary of $932 per month and a commission of 6.4% of…

A: The x% of a number y is obtained using the expression x100×y. The value of a function at a specific…

Q: Suppose an initial population of 33 million people increases at a continuous percent rate of 1.8%…

A: We will use formula for population growth.

Q: Use the advertising awareness model described in Example 6 to find the number of people y (in…

A: From the given example, the function that models the number of people y (in millions) aware of the…

Q: A sample of radium has a weight of 1.5 mg and a half-life of approximately 6 years. 1. How much of…

A: Given data: The original amount of radium is A0=1.5 mg. The given half-life period is t1/2=6 years.…

Q: The population of a country is modeled by the function P(t) = 15.9e0.01462 where P(t) is the…

A:

Q: You invest $1,000 in a certificate of deposit (CD) that earns 5% interest every year. If the…

A:

Q: Use the function p(t)=poekt, where p(t)=population at time t, p0= the initial population, and k is…

A:

Q: A country used the function M(t)=3.45(1.56)^t to estimate the inflation rate on a gallon of milk t…

A: Given: A country used the function M(t)=3.45(1.56)^t to estimate the inflation rate on a gallon of…

Q: The population sizes of many animal species rise and fall over time. Suppose that the population…

A: The range of values of a sine function is from -1 to 1. The value of a sine function completes a…

Q: (a) Find a function that models the population t years after 2000

A:

Q: population of bacteria can be modeled by the function flt) = 1000(0.98)', where t represents the…

A: Let the rate of decay of the population is r So the equation will be of the form f(t)=1000(1-r)t

Q: The function C (t) =C0(1+r)^t models the rise in the cost of a product that has a C0 today, subject…

A: Given that C0 = 150878  r=  1.3% = 0.013  t= 7 years

Q: Indicate whether the function represents an exponential growth or decay. 3. 1. f(x) =| 2. f(x) =4" 1…

A: Authoring guidelines:…

Q: he population of India can be modeled by the function   P(t)=1462(1+0.0177)t   where P(t) measures…

A: we have been given the population model of India  P(t)=1462(1+0.0177)t  where t represents the…

Q: A body of unknown temperature is placed in a refrigerator at a constant temperature of 0°F. If after…

A:

Q: sample of radium has a weight of 1.5 mg and a half-life of approximately 6 years. Find a function f…

A:

Q: An investment of $9 is earning 8 % interest per annum compounded annually. If the value, V , of the…

A: Given, V = 9(1.08)t   Then t = ?

Q: Suppose that in 2018, the world popluation was approximately 9 billion and has been increasing at a…

A:

Q: a marketing manager states that the sales of a certain commodity will decline exponentially once the…

A: The exponential function is generally defined by the equation, f(x)=abx . Here, a is called the…

Q: A population of bacteria can be modeled by the function () = 1000(0.98)', where t represents the…

A:

Q: Suppose that enrolment in CLSU has been increasing over the years since year 2013 according to the…

A: Given query is to find the enroy in 2022.

Q: A function of the form P(t)=ab^t represents the population (in millions) of the given country  t…

A:

Q: Let f(x) = (x + 5)² and g(x) = 1 - 5x. %3D (a) Only one of the two functions f and g is linear.…

A: Here we have,  f(x)=(x+5)2 and g(x)=1-5x

Q: The figure below shows the daily sales volume S as a function of timet since an ad campaign beg…

A: a) The point of inflection is defined as the point on a curve at which the curvature changes its…

Q: Which of the following best describes the function shown below? a. Linear b. Quadratic c.…

A: Given:

Q: Mr. Investment is projecting to make a substantial amount of money using this function, A = Pe". In…

A: Continuously compounding

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.