In 2012, the number of people attending the south coast comic convention was 5,000. the number of attendees continues to grow at a rate of 8.7% each year. if t is the number of years after 2012, write the equation in simplest form that could be used to determine how long it will take the number of attendees to reach 11,000.

Explanation:

The exponential growth function is given by :-

, where A is the initial value , r is rate of growth and t is the time period.

Given: The initial population of attendees (in 2012) =5,000

The rate of growth = 8.7 %=0.087

If t is the number of years after 2012 , then the exponential growth function that models the given situation will be :-

Now, the equation that could be used to determine how long it will take the number of attendees to reach 11,000 will be :-

most historians agree that gabriel mouton, the vicar of st. paul’s church in lyons, france, is the “founding father” of the metric system. he proposed a decimal system of measurement in 1670. mouton based it on the length of one minute of arc of a great circle of the earth (now called a nautical mile, 1852 meters). he also proposed the swing-length of a pendulum with a frequency of one beat per second as the unit of length (about 25 cm). a pendulum beating with this length would have been fairly easy to produce, thus facilitating the widespread distribution of uniform standards. over the years, his work was revised, improved, and extended by a number of french scientists.

the political sponsor of weights and measures reform in the french revolutionary national assembly was the bishop of autun, better known as talleyrand. under his auspices, the french academy appointed several committees to carry out the work of developing a usable system of weights and measures for france. one of the committees recommended a decimalized measurement system based upon a length equal to one ten-millionth of the length of a quadrant of the earth’s meridian (i.e., one ten-millionth of the distance between the equator and the north pole).

the maximum mass of nh3 is nh3 in grams