Identify the vertex of the parabola.f(x) = (x - 5)2 + 3
A. (3, 5)
B. (0, 5)
C. (5, 3)
D. (3, 0)
Answer: C
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Solve the problem.Suppose a ball is thrown upward to a height of h0 meters. Each time the ball bounces, it rebounds to a fraction r of its previous height. Let hn be the height after the nth bounce. Consider the given values of h0 and r. (a) Find the first four terms of the sequence of heights {hn}. (b) Find an explicit formula for the nth term of the sequence {hn}. h0 = 6, r = 0.5
A. (a) 6, 3, 
, 
(b) hn = 
(6)n
B. (a) 6, 3, 
, 
(b) hn = 6
n
C. (a) 6, 12, 24, 48
(b) hn = 6(2)n
D. (a) 6, 3, 
, 
(b) hn = 
n
Solve.From a boat on the lake, the angle of elevation to the top of a cliff is 30°54'. If the base of the cliff is 1753 feet from the boat, how high is the cliff (to the nearest foot)? 
A. 1049 ft B. 1062 ft C. 1052 ft D. 1059 ft
Complete the trinomial so it is a perfect square.x2 - 
x + 
A. 
B. 
C. 
D. 
Solve the problem.Find the amount in a savings account at the end of 4 years if the amount originally deposited is $8000 and the interest rate is 5% compounded semiannually.Use: A = P
ntwhere:A = final amountP = $8000 (the initial deposit)r = 5% = 0.05 (the annual rate of interest)n = 2 (the number of times interest is compounded each year)t = 4 (the duration of the deposit in years)
A. $8830.50 B. $9747.22 C. $65,600.00 D. $10,721.95