For each Of the problems below, choose an appropriate modeling type and find the modeling equation using calculator as much as you like, but explain your process part of your solution.
1. A small firm collected data on its advertising ex
Write a modeling equation that gives the population P in the year that is t years after 2010.
The population of an endangered species was 22,500 in 2010. The population is decreasing at a rate of 6% per year. a. Write a modeling equation that gives the population P in the year that is t years after 2010. b. Assuming that the model
I don't even know where to start with this. This is for my Management Science class.
Costal Cup Company wants to determine how many cases of large and small cups should be produced per day in order to maximize profit given the labor and material constraints. The unit profit value for large cups is $30 per case, for small cups the uni
Runner Y leaves the starting line at 12:00. Five minutes later runner X leaves from the same place a
Runner Y leaves the starting line at 12:00. Five minutes later runner X leaves from the same place and catches up to runner Y at 12:07. Four minutes later, runner X is one hundred metres ahead of runner Y. What is the speed of each runner in m/s?
A chemist has two acid solutions, one that contains 14.0% acid and another with 27.0% acid. How many
A chemist has two acid solutions, one that contains 14.0% acid and another with 27.0% acid. How many litres of each must be mixed to make 250 litres of solution containing 17.64% acid?
A projectile is launched from height ho above the ground. Its height (metres) after t seconds is giv
A projectile is launched from height ho above the ground. Its height (metres) after t seconds is given by s = kt^2 + v0t + ho where k is a constant, v0 is the initial velocity. If the height at 1.0 s is 7.75 m and the height at 1.5 s is 6.625 m, and
The atomic mass of three compounds are known: methane (CH4) is 16.0, glycerol (C3H8O3) is 91.9, and
The atomic mass of three compounds are known: methane (CH4) is 16.0, glycerol (C3H8O3) is 91.9, and water (H2O) is 18.0. Calculate the atomic mass of C, H, and O by solving this linear system: C + 4H = 16.0
A certain number has three digits and the sum of those digits 12. When the number is divided by the
A certain number has three digits and the sum of those digits 12. When the number is divided by the number formed by the hundreds and the ones digits, the answer equals 11. In addition, the sum of the hundreds and the tens digits is 10 bigger than th
The sum of the digits of a certain three-digit number is nine. The sum of the hundreds and the tens
The sum of the digits of a certain three-digit number is nine. The sum of the hundreds and the tens digits is equal to the ones digit minus one. The number, divided by nine, equals three times the ones digit. What is the number?
A projectile is launched from the ground. Its height (metres) after t seconds is given by s = kt2 +
A projectile is launched from the ground. Its height (metres) after t seconds is given by s = kt2 + v0t where k is a constant, v0 is the initial velocity. If the height at 1.0 s is 8.7 m and the height at 1.5 s is 7.625 m, determine the height at tim
A horizontal beam of negligible weight is simply supported at each end by columns. When a vertical l
A horizontal beam of negligible weight is simply supported at each end by columns. When a vertical load as placed on a beam 1.00 m from the left end, the vertical upward reaction is the right column is 62.5 N. When the load is increased by 40.0
A 10.0 kg mass and a 19.5 kg mass are hung from either end of a bar of negligible weight. If the 10.
A 10.0 kg mass and a 19.5 kg mass are hung from either end of a bar of negligible weight. If the 10.0 kg is increased to 12.0 kg, the balance point shifts by 16.2 cm. How long is the bar?
A lab technician wants to mix some amount of a 15% acid solution and another amount of a 25% acid so
A lab technician wants to mix some amount of a 15% acid solution and another amount of a 25% acid solution so that his resultant mixture is 80 ̅ ml of a 22% acid solution. What volume of the 15% acid solution and 25% acid solution is required?
A person invested $5,200, part in bonds bearing 5.9% interest and the remainder in bonds bearing 7.6
A person invested $5,200, part in bonds bearing 5.9% interest and the remainder in bonds bearing 7.6% interest. Both investments paid the same amount after the same period of time. How much, to the nearest dollar, was invested in each?
There is a fraction such that if 5 is subtracted from the numerator, its value will be 1/4, and if 7
There is a fraction such that if 5 is subtracted from the numerator, its value will be 1/4, and if 7 is added to the denominator, its value will be 1/3. What is the fraction?
If the width of a rectangle is increased by 4 and the length increased by 1, the area increases by 6
If the width of a rectangle is increased by 4 and the length increased by 1, the area increases by 62. If instead the width is increased by 2 and the length decreased by 3, the area decreases by 12. Find the original dimensions.
Crew A can assemble 2 cars in 5 days, and Crew B can assemble 3 cars in 7 days. If both crews together assemble 100 cars, with Crew B working 10 days longer than Crew A, how many days must each crew work?
A horizontal uniform beam of negligible weight is 6.35 m long and is supported by columns at either end. A concentrated load of 525 N is applied to the beam. At what distance from one end must this load be located so that the vertical reaction at tha
A small hydroelectric generating station can produce 61 gigajoules (GJ) of energy per year. After 4.0 months of operation, another generator is added which, by itself, can produce 39 GJ in 5.0 months. How many additional months are needed for a total
Algebra rate problem creating equations then solving
A train departs at noon travelling at a speed of 64 km/h. A car leaves the same station 1/2 h later to overtake the train, travelling on a road parallel to the track. If the cars speed is 96 km/h, at what time and at what distance from the station wi
Converting verbal statements into algebraic equations
A person invests part of his $10 000 savings in a bank at 6%, and part in a certificate of deposit at 8%, both simple interest. He gets a total of $750 per year in interest from the two investments. How much is invested at each rate?
