SOLUTION: Your university reported increases in in-state tuition of 8.5%, 6.7%, 9.3%, 3.4%, and 2.1% in the years from 2010-2014. What was the percentage increase in tuition over the five ye

Algebra.Com
Question 1036170: Your university reported increases in in-state tuition of 8.5%, 6.7%, 9.3%, 3.4%, and 2.1% in the years from 2010-2014. What was the percentage increase in tuition over the five years?
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
8.5%, 6.7%, 9.3%, 3.4%, and 2.1%
An increase of 8.5% in 2010 amounted to 
adding 8.5% of the 2009 tuition to 100%
of the 2009 tuition, which is the same 
as taking 108.5% of the 2009 tuition
or multiplying the 2009 tuition by 1.085
to get the 2010 tuition.

An increase of 6.7% in 2011 amounted to 
adding 6.7% of the 2010 tuition to 100%
of the 2010 tuition, which is the same 
as taking 106.7% of the 2010 tuition
or multiplying the 2010 tuition by 1.067
to get the 2011 tuition.

etc.

We use that principle for each of the percentage
increases and multiply the equivalent decimals
all together.  This amounts to multiplying the 
2009 tuition by

(1.085)(1.067)(1.093)(1.034)(1.021) = 1.334550555

We round that to three decimal places like all the
others:

1.335, which is equivalent to 133.5% which is 
100% + 33.5% which is an increase of 33.5% over
the 5-year period.

Edwin

RELATED QUESTIONS

Tuition at a state college was $4,000 in 2014, and is expected to grow at a rate of 7%... (answered by rfer)
The data in the chart show the cost of tuition at a state university for the years​... (answered by Boreal)
A pharmacist working in Hawasa Specialized university Hospital wants to secure the... (answered by ikleyn)
The number of people, in hundreds of thousands, who reported freshwater fishing as a... (answered by josgarithmetic)
Tuition at a 4 year college increased by 6.4% from 2009 to 2010. The average tuition at... (answered by Boreal)
The table lists the average annual cost of tuition and fees at private 4-year colleges... (answered by greenestamps)
per-pupil costs (in thousands of dollars) for cyber charter school tuition for school... (answered by ikleyn)
DATA Date Amazon.com Citigroup S&P 500 Rf 1/3/2012 179.03 28.26 1277.06 0.02 1/4/2012... (answered by solver91311)
DATA 1/3/2012 179.03 28.26 1277.06 0.02 1/4/2012 177.51 28.1 1277.3 0.02 1/5/2012... (answered by solver91311)