A study, in early 2000, said the typical American's annual income is changing at a rate of r(t) = 30(1.003)* dollars per month, where t is in months from January 1, 2000. Write down the integral that shows how much the typical American's income changed during 2000. Take t = 0 to be January, 2000

Let f(x) = [(1000-x)^1/3]. Use linerarization to approximate the number       [(997)^1/3]

Let P = 14000 (1.06)* be the population of a town t years after the year 2000. Estimate in which year the population will reach 16675.

Suppose sales for the past 6 months have been94, 91, 102, 99, 109, and 118 Using a smoothing coefficient of 0.7, what is the exponentially smoothed value for the 4th period? (please round your answer to 1 decimal place)

Statistics complied by the local department of corrections indicate that x years from now the number of inmates in-country prisons will be increasing at the rate 280e^0.2x per year. Currently, 2,000 inmates are housed in county prisons. How many inmates should the county expect in 10 years?

Determine the derivative of the function g(x) In +10 %D 10

The height of the corn stock in inches over the first eight weeks of growth could be roughly model by the function h(t)= 2(1.6^t) where t is measure in weeks. On which week of growth would the corn stalk grow to 21 inches?

The inventory at a widget factory is given by I(t)=5000(0.89)^t, where tt is the number of days after June 1. What is the average inventory during the 60 days after June 1? Answer:

Suppose it has been determined that the sales at the gallery decline after the end of advertising campaign, with daily sales given by s=7000(-2^-0.1x) Where S is In dollars an ex is the number of days after the complaint ends. What are the daily sales 50 days after the end of the campaign?

The population of the town of Missed Chances has, since January 1, 1973, been described by the function P=45000(1.04)^t where PP is the population tt years after the start of 1973.  At what rate was the population changing on January 1, 1998?