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Martha makes and sells her own organic dog treats for $15/kg for every $1 price increase, she will lose sales. What selling price will maximize her revenue?
Given that a position vector of the points a,b,c are 6i+2j+6k ,2i+3j+k and14i+16k respectively. Find vector ab and ac and state the exact value of modulus of ab.
If Ramón is standing on a balcony 84 feet above the ground and throws a penny straight down with an initial velocity of 10 feet per second, in how many seconds will it reach the ground?
Why do you believe the order of operations is important? In other words, why is it important to follow this order rather than solving the problem from left to right?
38 customers ordered all three kinds of food and 20 ordered none. a) The number of customers ordering Thai food is? b) The number of customers who did not order Thai food is?
The ratio of staff members to students in the school was 3 to 15. If there was a total of 2250 in the school how many of them were staff members?
Carole's car averages 14.9 mi/gal in city driving and 25.7 mi/gal in highway driving. if she drove a total 474.9 mi on 21 gal. of gas, how many of the gallons were used for city driving?
A paintball is aimed at a target and shot at an angle of 25 degrees above horizontal and lands at its original height 3.00s later. Find the distance of the shooter to the target.
Four vectors all have the same magnitude. Vector 1 is at 30, Vector 2 is at 135, vector 3 is at 240, and Vector 4 is at 315. What vector has the greatest magnitude x-component and which vector has t
A bank quotes you an interest rate of 14% per annum with quarterly compounding. What is the equivalent rate with (a) continuous compounding and (b) annual compounding?
The producer wants to use the December live cattle futures contracts to hedge its risk. Each contract is for the delivery of 40, 000 pounds of cattle. What strategy should the beef producer follo
A scientist obtains the number 0.045006700 on a calculator. If this number actually has four (4) significant figures, how should it be written?
Answer the following questions relating to percentages. Convert the fraction 23/50 to an equivalent percentage. Convert 0.748 to an equivalent percentage.
He keeps the money in the account for three years, but he doesnt make any deposits or withdrawals. How much interest will he receive after three years?
Suppose that the real wage increases. Does the agent work more, less or the same? Explain why.
On what sum of money will compound interest 2 years be same as simple interest on rupees 9430 for 10 years both at rate of 5%per annum.
The cost, C of an airplane ticket varies directly as the number of miles, M, in a trip. A 300 mile trip costs $400. What is the cost of a 450 mile trip?
Half the books you own are mysteries. one-third are historical fiction. The other four are science fiction. How many of your books are mysteries?
The sunniest place in the world is Yma in the American state of Arizona. This small city basks in 4055 ours of sunshine a year. What is the average amount of sunshine in a day.
Together H and M travelled a total of 27 meters, M and D together travelled a total of 29 meters, and D and H together travelled a total of 32 meters. How far did each travel?
Susan ate 1/4 of what was left after that. Jake ate 1/3 of what was left after that. Cindy ate 1/2 of what was left after that. How much of the original cake was left?
After round 3, 1/4 were eliminated. After round 4, 1/5 were eliminated. After round 5, 1/6 were eliminated. 10 freshman remained. How many originally tried out?
However, if 5 is added to the denominator of the original fraction, the value of the resulting fraction is 1/2. find the original fraction.
The dining room at Monticello, Thomas Jefferson's home in virgina, is 216 inches By 222 inches. Of the following, which size rug would be similar in shape to the dining room.
Shortest side is 15 feet longer than 1/2 longest side. second longest side is 4 feet shorter than the longest side. what is the length?