Algebra 2 and Trigonometry - Fall 2009 Part 8

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High School Math based on the topics required for the Regents Exam conducted by NYSED.

Fall 2009 Algebra 2 and Trigonometry Regents Sampler Exam

Q #29 - 2009 Algebra2 /Trigonometry Fall Sampler
Equation of circle
Write an equation of the circle shown in the graph below.

Q #30 - 2009 Algebra2 /Trigonometry Fall Sampler
Solve for a variable

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Q #31 - 2009 Algebra2 /Trigonometry Fall Sampler
Degrees and radians
Find, to the nearest minute, the angle whose measure is 3.45 radians.

Q #32 - 2009 Algebra2 /Trigonometry Fall Sampler
Matt places $1,200 in an investment account earning an annual rate of 6.5%, compounded continuously. Using the formula V = Pert, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, that Matt will have in the account after 10 years.

Answer:
P = 1,200
t = 10
r = 6.5%
V = $1200 e ^(0.065)(10)
= $1,200 e^0.65
= $2120.26