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148 Exam 2 Practice Problems

148 Exam 2 Practice Problems - Math 148 Exam 2 Practice...

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Math 148 Exam 2 Practice Problems 1) Solve a) Find the value of x (without using logarithms) that makes the statement true: x x 8 4 9 = + b) Solve the equation: 10 ) 20 log( 5 = x . 2) Express as a single logarithm. a) ( ) x x x log 3 log 2 + b) ( ) ln( 1) 2 ln 5 ln x x x + + 3) Kevin wishes to deposit $3000 for a period of 2 years so he can travel and vacation in the future. He can choose between 4 plans: a) 6.5% interest compounded continuously b) 6.55% interest compounded monthly c) 6.6% interest compounded quarterly d) 6.65% interest compounded annually i) Which plan will return the most money? ii) Suppose he invested $1500 in the 6.5% account and the other $1500 in the 6.6% account, compute the total amount of interest he would earn at the end of 2 years. 4) Assume that f ( t ) is an exponential function with f (0) = 200 and f (3) = 2000. a) Use the form rt Pe t f = ) ( to find the equation of this exponential function. b) When the function f is expressed in the form x Pa x f = ) ( , the constant a is called the growth factor.
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