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An investor is considering three types of investment: high risk venture into oil leases with potential return of 15 percent, a medium risk investment in bonds with a 9 percent return, and a relatively safe stock investment in oil lease and stocks to 50 percent. How much should he invest in each to maximize his return? Assume the investment returns are as expected.
You have 80 yards of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area?
The car can be ordered in any one of seven exterior colors. How many different cars can be ordered?
Assuming exponential population growth, predict the populations of China and the U.S. in the years 2100 and 2200. Assuming exponential population growth, approximately when will China's population double?
Read the Nature article, Sustainable Trophy Hunting of African Lions and discuss any challenges in the analysis. Can you think of another ways to do the regression analysis?
cursion boat is proportional to the cube of its speed and is $40 per hour when the speed is 10 mph. Expenses are $270 per hour. Find the most economical speed at which to make a trip of any specified distance.
Find an equation of the plane that passes through the line of intersection of the planes x + y - z = 2 and 2x - y + 3z = 1 and passes through the point (-1,2,1).
Assume 3 men and 3 women are to be assigned at random to six seats in a row at a movie theater. Determine the probability that they will alternate gender.
Among completed surveys how many different responses to this survey were possible?
Adding 4 fractions. The denominators are: 3a, 24b, 7a, and 25b. What is the LCD?
The intersection of two open sets is compact iff it is empty. Can the intersection of an infinite collection of open sets be a non-empty compact set?
At home medical test kits have increased in popularity in recent years. This year, 300 million test kits are expected to be sold. This represents a 115% increase from the number of kits that were sold last year. How many medical test kits were sol..
A colony of bacteria grows according to the law of uninhibited growth. If 100 grams of bacteria are present initially, and 250 grams are present after two hours, how many will be present after 4 hours? Note: Do not round the value of k.
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