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1) Jane wishes to choose a combination of two types of cereals for breakfast - Cereal A and Cereal B. A small box (one serving) of Cereal A costs $0.50 and contains 10 units of vitamins, 5 units of minerals, and 15 calories. A small box (one serving) of Cereal B costs $0.40 and contains 5 units of vitamins, 10 units of minerals, and 15 calories. Jane wants to buy enough boxes to have at least 600 units of vitamins, 500 units of minerals, and 900 calories. How many boxes of each food should he buy to minimize his cost, and what is the minimum cost?
2) You invested $10,000 into two accounts: one that has simple 3% interest, the other with 2.5%interest. If your total interest payment after one year was $283.50, how much was in each account after the year passed?
a ladder 25 feet long is leaning against the wall of a house. the base of the ladder is pulled away from the wall at a
Find coordinates for the point of intersection of the line x + y=1
Find the constant of integration, C if: y=∫(9x2 + 2x - [b])dx and the curve passes through the point ([3], [4]). Find the constant of integration, C if: y= ∫12x (x2+3)5 dx and the curve passes through the point ([6], [2]).
At what rate is the radius changing when the volume is 400ft3 - how fast is the ladder sliding down the side of the building when the top of the ladder is 12 ft above the ground?
You are the director of communicable diseases in a city health department, responsible for a large urban community. It is early spring in 2003. For the past two years, your department has been working to control the spread of the West Nile Virus and ..
A rectangular city park has a jogging loop that goes along a length, width, and diagonal of the park. To the nearest yard, find the length of the jogging loop, if the length of the park is 125 yards and its width is 75 yards.
Mariella is selling raffle tickets for a school fundraiser. Adult tickets cost $4 and student tickets cost $3. If she has collected %165 so far, how many adult tickets did she sell?
question sam and martha are local names for two lighthouses. sam blinks every 12 seconds martha every 8 seconds. they
GOld stays solid at fahrenheit temperatures below 1945.4 degrees. Determine those celsius tempertures for which gold stays solid.
Do we have obligations to future generations? Do our obligations extend beyond the living to future generations? If so, who speaks on behalf of future generations in business decision making?
Let the domain of discourse be the set of people in our class. Define the following predicate:
Find the average rate of change per month in the average price per gallon for each time period. From January to July (the peak), From July to December and From January to December.
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