Exponential and Logarithmic Equations

The population P of a city is P=240,360e^0.012t where t=0 represents 2000. According to this model, when will the population reach 275,000?

Exponential and Logarithmic Functions

Radioactive Decay: Carbon 14 dating assumes that the carbon dioxide on earth today has the same radioactive content as it did centuries ago. If this is true, the amount of carbon 14 absorbed by a tree that grew several centuries ago should be the same as the amount of carbon 14 absorbed by a tree growing today. A peice of anc ...continues

Exponential and Logarithmic functions

Sales and Advertising: The sales S (in thousands of units) of a product after x hundred dollars is spent on advertising is S=10(1-e^kx). When $500 is spent on advertising, 2500 units are sold. (a) Complete the model by solving for K. (b) Estimate the number of units that will be sold if advertising expenditures are raised t ...continues

Exponential and Logarithmic Functions

Endangered Species: A conservation organization releases 100 animals of an endangered species into a game preserve. The organization believes that the preserve has a carrying capacity of 1000 animals and that the growth of the herd will follow the logistic curve. p(t)=1000/1+9e^-0.1656t where t is measured in months (a) ...continues

Exponential and Loarithmic Functions : Earthquake Intensity

Find the intensity I of an earthquake measuring R on the Richter scale (let Io=1). (a) Chile in 1906, R=8.6 (b) Los Angeles in 1971, R=6.7

Exponential and Logarithmic Functions : Level of Sound

Determine the level of sound (in decibels) for the given sound intensity. (a) I=10^-3.5 watt per m^2 (jet 4 miles from takeoff) (b) I=10^-3 watt per m^2 (diesel truck at 25 feet) (c) I=10^-1.5 watt per m^2 (auto horn at 3 feet)

Exponential and logarithmic functions

Radioactive decay: The half-life of radioactive uraniumII (234^ U) is 250,000 years. What percent of the present amount of radioactive uraniumII will remain after 5000 years?

Exponential and Logarithmic functions

Demand Function: The demand equation for a camcorder is p=5000(1-4/4+e^-0.002x). Find the demands x for prices (a) p=$600 and (b) p=$400

Order of a Permutation

Please see the attached file for the fully formatted problems. Find the order of sigma^1000, where sigma is the permutation (123456789) (378945216)

Algebra: Simplify

-3 (4 5/8 * 3 2/3)