# Math assignment

Apr 19th, 2015
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This document contains few questions in exponential/logarithmic equations, growth and decay and trigonometry questions.

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1. Exponential/Logarithmic Equations. Solve for x in the following equations. Write your answers as decimals numbers rounded to 3 digits after the decimal point.(a) (b) (c) 2. Growth and Decay. Imagine that you put \$1500 into an account that pays 5.6% per year, compounded continuously.(a) What function gives the amount in the account after t years?(b) What is the balance after 5 years?(c) What is the balance after 10 years?(d) How long does it take for the account to double in value?3. Growth and Decay. A rule of thumb used by car dealers is that the trade-in value of a car decreases by a fixed percentage each year. A mini-cooper purchased in 2005 cost \$25,400. According to Kelly Blue book, this car could be sold privately \$7,200 in 2013.(a) Let t be the number of years since 2005. What is k, the decay rate, for this car?(b) What was the value of the car in 2010?(c) How long does it take for the car to be worth of its original value?4. Acute Angles. Given , find each of the following. Note: write your answers as decimals rounded to 2 digits after the decimal point. Be sure to include units as degrees or radians where appropriate! No need to simplify values in square root. 5. Right Triangles. In one area, the lowest angle of elevation of the sun i

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