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Find the inverse (if it exists) of 14 in Z95.
Find the number of invertible elements in Z2000.
Determine the digits corresponding to each letter. Digits may not be used for more than one letter. What problem solving strategy did you use in solving this problem? DAN+NAN=NORA
396 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold?
A new fashion in clothes is introduced. It spreads slowly through the population at first but then speeds up as more people become aware of it.
Note the terms: 0% interest for ? number of years, the instant dollar discount, the retail price of the vehicle, and the interest rate of the loan. Given those figures, which is the better deal and why? Support your answer with calculations.
A study showed that there are 17 vehicles for every 10 households. how many vehicles are there for 106 million households?
Solving problems on permutation and combination
A catering service has been asked to provide a lunch buffet the next day for 40 people at a set price of $10.50 per person; no function has been booked for the next two days.
Let r be the radius on the incircle of tri ABC and a,b,c be the radii of the excircles opposite vertices A, B, and C, respectively. Ilustrate the fact that 1/r = 1/a + 1/b + 1/c. Also, write a proof of this.
A hot water tank is a vertical cylinder surmounted by a hemispherical top of the same diameter . The tank is designed to hold 750m^3 of liquid.
Find the curve that passes through the points (3, 2) and has the property that if the tangent line is drawn at any point P on the curve, then the part of the tangent line that lies in the first quadrant is bisected at P.
With what initial velocity must an object be thrown upward from the ground to reach the height of a national monument (580 feet)? Use a(t) = -32 feet per second as the acceleration due to gravity. (Round to 2 decimal places.)
Assume that the pool's depth increases constantly between the shallow end and the deep end. How fast in the height of the water increasing when the water has filled 4 feet of the deep end?
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