Diane has decided to play the following game of chance. She places a $1 bet on each repeated play of the game in which the probability of her winning $1 is 0.7. She has further decided to continue playing the game until she has either accumulated a total of $4 or has lost all her money.
What is the probability that Diane will eventually leave the game a winner if she started with a capital of $1?
What is the probability that Diane will eventually leave the game a winner if she started with a capital of $2?
What is the probability that Diane will eventually leave the game a winner if she started with a capital of $3?
Write your answer as a decimal rounded to two decimal places.
0.59; 0.84; 0.95
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Solve the problem.The number of bacteria growing in an incubation culture increases with time according to 
where x is time in days. Find the number of bacteria when x = 0 and x = 3.
A. 8700, 34,800 B. 8700, 52,200 C. 17,400, 69,600 D. 8700, 69,600
Express the number in decimal notation.7 × 10-7
A. 0.0000007 B. -700,000 C. 0.00000007 D. 0.000007
Perform the indicated operation.? - 
A. 
B. - 
C. - 
D. 
Solve the problem. 3xy = z2 x - y + z = 3x2 + y2 - 2z2 = -72
A. {(3, 9, 9), (-3, -9, 9)} B. {(3, 9, 9), (9, 3, 9)} C. {(3, 9, 9), (-9, -3, 9)} D. {(-3, -9, 9), (9, 3, 9)}