Homework Help: Algebra

Posted by Brandi on Saturday, July 23, 2011 at 2:27pm.

An artifact was found and tested for its carbon-14 content. If 77% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? Use that carbon-14 has a half-life of 5,730 years.

Algebra - Reiny, Saturday, July 23, 2011 at 3:42pm
Since this is a half-life type, we can use the base of 1/2

.77 = (1/2)^(t/5730)
ln .77 = ln (.5^(t/5730))
t/5730 = ln.77/ln .5
t = 5730(ln.77/ln.5) = 2160.6

to the nearest 100 years that would be 2200 years.
Algebra - Anonymous, Sunday, January 22, 2012 at 6:14pm
The atmospheric pressure P in pounds per square inch (psi) is given by the formula below, where a is the altitude above sea level (in miles). If a city has an atmospheric pressure of 13.25 psi, what is its altitude? (Recall that 1 mi = 5,280 ft. Round your answer to the nearest foot.)

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