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1. the sum of 2 numbers is 36. the difference between the larger number and 8 equals the total of four and three times the smaller number. find the 2 numbers.
2.A board 16 ft long is cut into 2 pieces four feet more than the product of three and the legthof the shorter piece is equal to 3 feet less than twice the length of the longer piece. Find the length of each piece.
3.Find 2 consecutive integers such that when the smaller is subtracted from one and one half times the larger, the result is 45.
4. Find two consecutive integers such that 4 times the larger is 334 more than the smaller.
5. Find 3 consecutive odd integers such that the sum of the smallest and the largest is eleven less than three times the middle integers.
6. Find three consecutive even integers such that the sum of the three is 174 less than five times the first.
A financial analyst and you have a client that wants to retire in 30 years with $1 Million. Your bank's interest rate is 6.7%. Design a financial plan for them. How much would be their initial deposit? Would you use simple or compound interest..
What is the area between a raw score of 113 and 126 in a normal distribution with a mean of 100 and a standard deviation of 10 ?
Identify and sketch the graph of the conic described by the quadratic equation x^2 + 4xy + y^2 - 12 = 0. Do this by writing this equation in matrix form
Is the surface integral of a closed surface (for example the surface is the cylinder x^2+y^2=9 between the planes z=0 and z=2, together with the top and the bottom) supposed to be 0?
find the rate at which water is being pumped into the tank in cubic centimeters per minute.
Two rainstorms occurred in one week in a certain area. In the first storm 25ml of rain fell per hour, and in the second storm 20ml of rain fell per hour. Rain fell that week for a total of 75 hours for a total rainfall of 1700ml.
Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 mioles per hour
A manufacturer drills a hole through the centre of a metal sphere of radius 5cm. The hole has radius 3cm. What is the volume of the remaining ring?
For the baseball diamond shown in the figure below, suppose the player is running from first to second at a speed of 29 feet per second. Find the rate at which the distance from home plate is changing when the player is 27 feet from second base. (..
Determine whether the series is convergent or divergent: 9/(n(n+2)) from n=1 to infinity.
At what time does the stone hit the ground? C. What is the velocity of the stone when it hits the ground?
Determine the constraints and evaluate maximum or minimum value using Linear Programming Method - How many days should each plant operate to produce 2000 of each part and keep operating costs at a minimum?
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