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Sung rented a truck for one day. There was a base fee of $16.95 , and there was an additional charge of 89 cents for each mile driven. Sung had to pay $151.34 when he returned the truck. For how many miles did he drive the truck?
A boat can travel 46 mph in still water. If it travels 270 miles with the current in the same length of time it travels 190 miles against the current, what is the speed of the current?
Let K be a normal subgroup of G, and both K and G/K are simple. Show that either K is the only nontrivial proper subgroup of G, OR G is isomorphic to K x (G/K).
The body of a murder victim was discovered at 11:00 AM. The medical examiner arrived at 11:30 AM and found the temperature of the body was 94.6o F. The room temperature was 70o F. One hour later the body temperature was 93.4o F. Estimate the time..
The bank charges interest of 4.5% interest per year compounded monthly for the first 10 years, then 5.6% interest per year compounded monthly the remaining years. if the loan has to be paid back in 20 years, what must their monthly payments be for..
a random sample of 450 students from a wide geographic area indicated that 55 attended private schools. Estimate the true population of students attending private schools with 90% ci.
A manufacture has been selling 1000 television sets a week at $480 each. A market survey indicates that for each $12 rebate offered to a buyer, the number of sets sold will increase by 120 per week.
A car traveling at 42 ft/sec decelerates at a constant 62feet per second squared. How many feet does the car travel before coming to a complete stop?
what is the NPV of the system? What is the payback period for this project? Draw the graph. What is the ROI for this project?
Where x is the number of years since the material was put into the vault. If 200 pounds of the material are initially put into the vault, how many pounds will be left after 90 years?
There are several methods used by people to organize their lives in terms of keeping track of appointments, meetings, and deadlines. Some of these include using a desk calendar, using informal notes of scrap paper, keeping them ″in your head″, usi..
State Euler's Circuit Theorem. Explain why this theorem should be true and explain Cantor's Diagonalization Argument. Give examples and explain what this argument was used for.
Use the simplex method to determine the optimal production schedule so as to maximize profits. Show that the geometric method gives the same solution.
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