Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise.Assume that the volume of the earth is 5 × 1014 cubic meters and the volume of a bacterium is 2.5 × 10-16 cubic meters. If the earth could be filled with bacteria, how many would it contain?
A. 2.0 × 10-30 bacteria
B. 2.0 × 1030 bacteria
C. 5.0 × 10-31 bacteria
D. 5.0 × 1031 bacteria
Answer: B
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Analyze the situation and explain how you would make a decision.You are leasing a summer home for twelve weeks and are required to cut the grass every week. You can buy a new power mower for $340 and sell it at the end of the summer for $100. You can rent a power mower for $20 per day. The neighbor's son will charge you $10 per hour for 2 hours and provide his own equipment. Which is the best option?
What will be an ideal response?
Solve the problem.The total cost in dollars for a certain company to produce x empty jars to be used by a jelly producer is given by the polynomial equation C(x) = 0.4x + 32,000. Find the cost of producing 50,000 jars.
A. $20,000 B. $52,000 C. $32.40 D. $50,032
Find the effective rate corresponding to the given nominal rate. Round your answers to the nearest hundredth.
?
10% / year compounded semiannually
?
__________%
?
3% / year compounded quarterly
?
__________%
What will be an ideal response?
Provide an appropriate response.The number of loaves of whole wheat bread left on the shelf of a local quick stop at closing (denoted by the random variable X) varies from day to day. Past records show that the probability distribution of X is as shown in the following table. Find the probability that there will be at least three loaves left over at the end of any given day.
A. 0.20 B. 0.65 C. 0.35 D. 0.15