The following table gives the monthly premiums for an insurance policy on people of various ages.a. Find an exponential function that models the monthlypremium as a function of age.b. Find the quadratic function that is the best fit for the data.c. Graph each function with the data points to determinewhich model is the better fit.a. The exponential function that models the data is y= 3.059 (1.104*).(Use integers or decimals rounded to the nearest thousandth as needed for any numbers in the expression.)b. The quadratic function that models the data is y= 6.188x2-557.818x+12,448.185.(Use integers or decimals rounded to the nearest thousandth as needed for any numbers in the expression.)Age3540455055MonthlyPremium (S)127164242362559Age60657075Full data setMonthlyPremium (S)946190434855873

The linear regression technique is used to fit a dataset into a linear equation of the form: y=a+bx.…

Answered: The following table gives the monthly…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A popular social media platform has begun offering stock shares to the public. In the past 2 years, the price of the stock has generally increased. An investment specialist gathers data on the stock price during the past 2 years and creates an exponential model for estimating the stock price based on the number of weeks after the first public offering. Based on the scatterplot and computer output, a reasonable estimate for the stock price for week 95 is: O $2.27 because y 0.0022(95) + 2.0583 = 2.2673. O $9.65 because log y =0.0022(95) +2.0583 2.2673 and e2.2673 = 9.6533. log(Stock Price) vs. Weeks O $185.05 because kg y =0.0022(95)+2.0583=2.2673 and 102 2673 = 185.05. 2.28 2.26 224 O $220.44 because log y 0.0030(95)+2.0583 2.3433 and 2.22 22 2 12 2 16 102.3433 = 220.44 ock Price)
Identify each function or situation as an example of exponential growth or decay. What is the y-intercept? 1. a. y = 3(4*) b. y = 11(0.75") c. You put $2000 into a college savings account for four years. The account pays 6% interest annually.
Find and explain the exponential function behavior according to graph and any necessary equations.
Average Annual Cost $12,567 $19,345 YEAR 2009 2019 4. The table above gives the average annual cost for a four year PUBLIC college. Please answer the following questions from the chart. A. Write an EXPONENTIAL FUNCTION to model this situation. ( Round to the nearest hundredth for the BASE)
Find the exponential function that passes through the points (−10/13 , 6) and (14 ,1/10). Round the numbers in your final answer to three decimal places each.
Plot the following sets of data and write the best fit exponential function using a graphing calculator. I CHECK ANSWER 0 1 2 دن 4 5 hp y -2.6 -3.61 -5.02 -6.98 -9.71 Write the best fit exponential function in the form y = ab. Round to 2 decimal places. -13.49 59 TO 0 60 124 O ↑ 92.0 Mon Feb
Determine the value of a and b
Suppose the population was 500 on January 1, 2000 and it was 800 on January 1, 2006. Assuming the population grows exponentially, find the growth rate. Write your answer in percentage rounded to the nearest hundredth. Enter number only, i.e., if your answer is 3.45%, enter 3.45.
There were 27 deer in a park on January 1, 2000. Six months later there were 38 deer in the same park. Assume the number of deer in the park with respect to the number of months since January 1, 2000 can be modeled by an exponential function. Determine the 6-month growth factor. Determine the 6-month percent change.% Determine the 1-month growth factor. Determine the 1-month percent change.% Define a function, g that relates the number of deer in the park reserve in terms of the number of months that have elapsed since January 1, 2000, n . (Assume the number of deer continues to increase by the same percent each month).

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