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Janet can shovel snow from her driveway in 50 minutes. Tom can do the same job in 35 minutes. How long would it take Janet and Tom to shovel the driveway if they worked together?
money is deposited into the account at a continuous rate of $2000 p.a at a continuous rate of 8% p.a compounded quarterly. Express the amount as an exponential function of time hence find the amount in the account after 5 years.
Find the probability
If the price of an item drops 10 cents per dozen, it becomes possible to buy 2 dozen more items for $6.00 than was possible at the original price. Find the original price.
Discuss the concept of the derivative of a function.
Water is flowing at the rate w of into a tank in the form of a cone of altitude h and base radius and with its vertex in the downward direction. How fast is the water level rising when the water is a certain depth x ?
Suppose sunshine figures are independent identically distributed continuous random variables. Independent identically distributed continuous random variables
The Four Stars has aftertax income of $62,000 for the year just ended. The company has a residual dividend policy and a target debt-equity ratio of .5. The firm wants to invest $89,000 in a new project. How much new borrowing will be required?
A plane headed due east is traveling with an airspeed of 270 miles per hour. The wind currents are moving with constant speed in the direction 240°. If the ground speed of the plane is 135 miles per hour, what is its true course?
In any group G, some of the elements of G commute with all of the other elements in G. The set of all such elements in G is called the centre of G, and is denoted by Z(G).
Suppose that 5000 sales invoices are separated into four strata. Stratum 1 contains 50 invoices, stratum2 contains 500 invoices, stratum 3 contains 1000 invoices and stratum 4 contains 3450 invoices. A sample of 500 sales invoices is needed. What ..
A company car that has a seating capacity of eight is to be used by eight employees who have formed a car pool. If only three of these employees can drive, how many possible seating arrangements are there for the group?
Find the probability that a student selected at random failed the test?
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