A house painter has found that the number of jobs that he has each year is decreasing with respect to the number of years he has been in business. The number of jobs he has each year can be modeled j(x) = 104.55 jobs X where x is the number of years since 2004. The painter has kept records of the average amount he was paid for each job. His income per job is presented in the table. Average Income per Job Income (dollars) Year 2004 430 2005 559 2006 727 2007 945 2008 1228 2009 1597 2010 2075 (a) Find an exponential model for average income per job, p, with input x aligned to years since 2004. (Remember to paste the unrounded function model into your calculator before reporting the answer with all numerical values rounded to three decimal places.) p(x) 430.07(1.300)* dollars per job gives the average amount the painter was paid per job x years after 2004, 0 s x s 6 (b) The equation for the painter's annual income is tx) = j(x)p(x) dollars. (c) What was the painter's income in 2010? (Remember to avoid intermediate rounding.) Round your answer to two decimal places. 36171.96 How rapidly was the painter's income changing in 2010? (Round your answer to two decimal places.) $237.73 Xper year

The population of a Ukrainian village is currently 500. Based on the observed growth of the population in past years it is estimated that after 1 year the population will be 600. Similarly, it is estimated that after 2 and 3 years, the population of the village will be 720 and 864 respectively.Which function describes the relationship between year and the village population?

In 2000, the value of a home is 150,000.00 dollars. Its value has been increasing 5% per year. If this rate continues indefinitely, write an equation, in function notation, to represent the value of the home as a function of time, t, in years since 2000

In 2005 the average annual and fees for attending a private college or university was $22000. This cost rose to about $36000 in 2015, as illustrated in the graph. Complete parts a and b

Graph. h(x) = -2log2 x