A worker is reviewing his pay increases over the past several years. The table below shows the hourly wage W, in dollars,that he earned as a function of time t, measured in years since the beginning of 2000.Time t1234Wage W15.0015.1515.3015.45(a) By calculating ratios, show that the data in this table are exponential. (Round your answer to two decimalplaces.)The ratios of successive terms are always(b) What is the yearly growth factor for the data? (Round your answer to two decimal places.)(c) The worker can't remember what hourly wage he earned at the beginning of 2000. Assuming that W is indeedan exponential function, determine what that hourly wage was. (Round your answer to the nearest cent.)$which shows that the data is exponential.(d) Find a formula giving an exponential model for W as a function of t. (Round the parameters to two decimalplaces.)Ow(t)= 18.56 x 1.91W(t) 14.85 x 1.010.99⁰Ow(t) = 29.70 x 1.04Ow(t) = 7.43 x 1.08Ow(t) 11.14 xW(e) What percentage raise did the worker receive each year? (Use the model found in part (d).)%(f) Given that prices increased by 26% over the decade of the 2000s, use your model to determine whether theworker's wage increases kept pace with inflation.Yes, the wage increases kept pace with inflation rate.No, the wage increases were lower than inflation rate.

time t measured in years and beginning from 2000 t w 1 15.00 2 15.15 3 15.30 4 15.45

Answered: A worker is reviewing his pay increases…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Health Services Expenditures The following tablegives total U.S. expenditures (in billions of dollars)for health services and supplies for selected yearsfrom 2000 and projected to 2018. a. Find an exponential function to model these data,with x equal to the number of years after 2000.b. Use the model to estimate the U.S. expendituresfor health services and supplies in 2020.
7. Use the given points and curve to identify the equation for the EXPONENTIAL function graphed below. a. f(x) = ? b. Find the Domain and Range 4 - 3 - 2 - -5 -4 -3 -2 -1 1 3 4 5 -1 -2 -3 -4
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A. Direction: Complete the table below to show the value of Principal = 1 at the end of one year (t = 1) after an increasing number n of compounding periods per year at a 100% annual rate. P(1+r/n)^nt Yearly Quarterly Monthly Daily Hourly n n=1 21. n = 22. n = 23. n = 24. n = 2 25. 26. 27. 28. 2 29. 30 31 32. A
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The geometric mean is often used in business and economics for finding average rates of change, average rates of growth, or average ratios. Given n values (all of which are positive), the geometric mean is the nth root of their product. The average growth factor for money compounded at annual interest rates of 9.1%, 4.5%, and 2.2% can be found by computing the geometric mean of 1.091, 1.045, and 1.022. Find that average growth factor, or geometric mean. What single percentage growth rate would be the same as having three successive growth rates of 9.1%, 4.5%, and 2.2%? Is that result the same as the mean of 9.1%, 4.5%, and 2.2%?
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