Average Annual Year Wage ($ thousands) Year Wage ($ thousands) Average Annual 2014 48.6 2030 93.2 2016 53.3 2035 113.2 2018 58.7 2040 137.6 2020 63.7 2045 167.1 2025 76.8 2050 202.5

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: If the growth rate showed a constant increase from 150 animals per year in 2015 to 285 animals per…

A: Answer 4.1:   Answer 4.2: The red triangle area represents an increase in animal population growth…

Q: Find the exponential function y = Cekt that passes through the two given points.

A: At t=2, y=3/2 At t=4, y=5

Q: sketch the shifted exponential curves

A: The given curves are y=2x-1 and y=2-x-1. The graph of y=2-x-1 is the reflection of y=2x-1 across the…

Q: A firm uses simple exponential smoothing with trend adjustment to forecast demand, "a = 0.7" and…

A: Given that smoothing constants α=0.7 and β=0.6 FITt-1=413At-1=457Tt-1=21

Q: With data from the Social Security Trustees Report for selected years from 1950 and projected to…

A:

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

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: One yardstick for measuring how steadily-if slowly-athletic performance has improved is the mile…

A: (a).       The function that express the record time for the mile run, M, in terms of number of…

Q: Find the exponential function y = Cekt that passes through the two given points. | = A y 8 7 (9, 7)…

A:

Q: Find a formula in each part below for the number of zebra mussels in a bay as a function of the…

A: Find out the formula for linear and exponential growth.

Q: Find the exponential function y = Cekt that passes through the two given points. y (0, 7) 5 4 3 2-…

A:

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

A:

Q: Suppose that from 2020 to 2060, the number of females in the U.S. under the age of 18, in millions,…

A: Given: The number of females in the U.S. under the age of 18, in millions, can be modeled by…

Q: 1 A baseball Card inifialy worth $36 cuppreciates each year at a rate of 2% each year, Write an…

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: There were 210 million licensed drivers in the US in 2010 and 222 million in 2016.13 Find a formula…

A: For the given data of US licensed driver   210 million in 2010  222 million in 2016

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

A:

Q: With data from the Social Security Trustees Report for selected years from 1950 and projected to…

A: Consider the given function. Bt=0.00024t3-0.026t2+1.6t+2.2 The average value is defined as.…

Q: Find the exponential function y = Cekt that passes through the two given points.

A: Given that, y=Cekt             ...(1)

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

A:

Q: The following table represents the internet advertising revenue (in billions). (x represents the…

A: a) To find the linear equation of the given data using Excel is given as follows: Software procedure…

Q: With data from the Social Security Trustees Report for selected years from 1950 and projected to…

A:

Q: C, the consumer price index, in a specific very small area, is dependent on the current value of…

A:

Q: Find the exponential function y = Cekt that passes through the two given points.

A: Find the exponential function y = Cekt that passes through the two given points 3,12 and 4,5.

Q: With data from the Social Security Trustees Report for selected years from 1950 and projected to…

A:

Q: The following graph shows the total number n of people (in millions) infected in an epidemic as a…

A: Given:

Q: According to the Social Security Advisory Board, the number of workers per beneficiary of the Social…

A: Calculation:a)From the given, it is observed that the initial value is 3.3 and the constant…

Q: Solve the following: #1: A city has been losing population. In the 1990 census it decreased by 15%…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

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: A two-day environmental clean up started at 9AM on the first day. The number of workers fluctuated…

A:

Q: The table and graph below display data from the Fresh 4 Less farm stand in Austin, Texas. The number…

A: Lagrange's interpolation is a method of fitting a polynomial that best fits the given data points.…

Q: A two-day environmental clean up started at 9AM on the first day. The number of workers fluctuated…

A: Given that the workers were paid 17 dollars per hour for work during the time period 9 am to 5 pm…

Q: Find the exponential function y = Cekt that passes through the two given points.

A:

Q: Find the exponential function y = Cekt that passes through the two given points.

A: From the given graph, the exponential function passes through two point (5, 5) and 0,34. Substitute…

Q: Find the exponential function y = Cekt that passes through the two given points.

A: Given exponential function is y=Cekt. Given function passes through point 0,5 and 5,16. So, point…

Q: suppose that a five year rate of projection growth of population trends suggests that t years from…

A: Population of certain community as a function of years “t” is given as follows:P(t) = -t3 + 9t2 +…

Q: X y 2 12 3 24 4 48 5 96 6 192

A:

Q: Consider the following data in the table -1 -8.4 0.6 9.6 2 18.6 Is the dataset in the table…

A: This question is based on straight line equations.

Q: With data from the Social Security Trustees Report for selected years from 1950 and projected to…

A: Given the number of Social security beneficiaries is modeled by: Bt=0.00024t3−00.026t2+1.6t+2.2…

Q: By 2019, nearly $1 out of every $5 spent in the U.S. economy is projected to go for health care. The…

A: The figure is:

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: . Determine whether a linear or an exponential function is the better fit for the data in the table.…

A: we can whether the table fit for linear or exponential function.if change in ychange in x  is…

Q: 7. If the number of bees in a beehive are modeled by the function 6(t) = te +1 thousand bees, where…

A: The number of bees in a beehive modeled by b(t)=te-t210+1 thousand bees,where t is in months past…

Q: The city of San Estaban had a population of 45,000 in 2015 (t=0) and was growing continuously at an…

A:

Q: he table shows the total assets (in trillions) held in a foreign bank for the given years. Complete…

A:

Q: With data from the Social Security Trustees Report for selected years from 1950 and projected to…

A:

Q: (c) What is the forecast for the next month (in millions of dollars) using exponential smoothing…

A: Data for time series value is given according to months We have to calculate forcast for next month…

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.