Intermediate Algebra Unit 9: Logarithms Worksheet - Tangient Llc Page 24

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Intermediate Algebra
Unit 9: Logarithms
(11) A piece of machinery valued at $ 475,000 depreciates at a fixed rate of 7.2% per
year. At this rate, after how many years, to the nearest year, will the value of the
equipment be below $225,000?
(Provide an algebraic solution showing all work.)
(12) You buy an autographed limited edition U2 CD for $20.00 with the understanding
that it will increase in value at a steady rate of 2.75% per year. At this rate, how
long, to the nearest year, will it take for the CD to reach a value of $100?
(Provide an algebraic solution showing all work.)
CHALLENGE: Solve for x and round your answer to four decimal places:
x
x – 2
2
= 5
23

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