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A delivery truck is purchased new for $54,000.
a. Compose a linear function of the form y = mt + b to represent the value y of the vehicle t years after purchase. Assume that the vehicle is depreciated by $ 6750 per year.
b. Suppose that the vehicle is depreciated so that it holds 70% of its value form the previous year. Write down an exponential function of the form y = V0bt , where V0 is the initial value and t is the number of years after purchase.
200 feet of fence needs to be used to enclose a ranch. the ranch borders a river where no fence is needed. what is the quadratic equation that will provide the maximum amount of space.
Four years after paying $2300 for shares in a startup company, you sell the shares for $2100(at a loss). What is the total return in percentage and the annual return in percentage?
A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
Note: This example includes advanced topics, and you are not expected to understand the article fully. It is offered here simply as an example of how these techniques may be employed to solve IT problems.
A computer gives the approximate value .84776 to 5 digit accuracy for the sum of the series: (-1)^n/[n(lnn)^2], from n=2 to infinity. Find a specific partial sum which is guaranteed to give this number to 5 digit accuracy?
Determine the exchange table for this economy, where the columns describe how the output of each sector is exchanged among the three sectors
Discuss a real-life situation where a straight-line graph might be applicable and explain why you think this might be true (show the equation).
a farmer has 1200 feet of fence and wishes to build two identical rectangular enclosures. What should be the dimensions of each enclosure if the total area is to be a maximum?
If the merchant samples the fruit, what are the probabilities of accepting a Good box, accepting a Bad box, and not accepting the box? What are these probabilities if he does not sample the fruit
At a certain time of day, the angle of elevation of the sun is 64°. To the nearest foot, find the height of a pole whose shadow at that time is 13 feet long.
For the given function, (i) list all prime implicants, indicating which are essential. (ii) Show the minimum SOP expression.
How many feet will it take a car traveling 50 mph to stop on dry, level concrete? If an accident occurs 200 feet ahead, what is the maximum speed at which one can travel to avoid being involved in the accident?
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