Solve the problem.One number is 3 less than a second number. Twice the second number is 33 more than 5 times the first.Determine the numbers by solving the following system of equations, using x and y to represent the unknown numbers.
A. 6 and 9
B. -9 and -6
C. -10 and -7
D. -8 and -5
Answer: B
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The following table shows the gross national product G, in trillions of dollars, t years after 2005. Based on the regression equation, what increase would you expect to see in the gross national product over a 5-year period? t 0 1 3 5 G 12.76 13.58 14.25 14.64? ?
A. 2.48 trillion dollars B. 1.80 trillion dollars C. 1.88 trillion dollars D. 2.13 trillion dollars
Solve the problem. Round your answer, if appropriate.Boyle's law states that if the temperature of a gas remains constant, then PV = c, where ,
, and c is a constant. Given a quantity of gas at constant temperature, if V is decreasing at a rate of 15 in. 3/sec, at what rate is P increasing when P = 70 lb/in.2 and V = 50 in.3? (Do not round your answer.)
A. lb/in.2 per sec
B. 21 lb/in.2 per sec
C. lb/in.2 per sec
D. lb/in.2 per sec
Solve the problem.Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of and a standard deviation of 0.04 ounce. Find the probability that the bottle contains between 12.08 and 12.14 ounces.
A. 0.8351 B. 0.8475 C. 0.1525 D. 0.1649
Find the amount by which the ordinary interest is larger than the exact interest. Round to the nearest cent.$64,600 at 5% for 270 days
A. $43.68 B. $2,422.50 C. $23.68 D. $33.18