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Write revenue equation in terms of number of extra tickets sold. What number of passengers, and what price, will make maximum revenue?
The doorway has shape of the parabolic arch and is 12 feet high at center and 8 feet wide at base. If the rectangular box 9 feet high should fit through doorway, find maximum width the box can have?
In genetic research the small colony of drosophila (small two-winged fruit flies) is grown in the laboratory environment. Find population of colony in 14 days?
Assume that 2¢ is deposited in the savings account paying 1% annual interest compounded continuously. How much money will have accrued in account after 2000 years?
Suppose that time of death corresponds to t = 0 and that core temperature at that time was 98.6°F. Find how many hours elapsed before body was found.
If it is all right to feed hay to cows when only 10% of initial amount of iodine-131 released is left, how long did farmers have to wait to use hay?
If initial amount of slat was 25 grams and after ten hours 15 grams are left, determine equation for amount of salt preent at time " t ". How long will it take until 1/2 gram is left?
Guatemala City has latitude of 15.5 degree N and baton Rouge, Louisiana has latitude of 30.5 degree N. Determine distance between two cities given that radius of earth is 3960 miles.
Find revenue per case and annual fixed and variable costs for running operating room. How many eye operations should hospital perform each year to break even?
He starts descent at the rate of 10 mph. After descent starts, pilot doubles plane's total velocity. How fast is plane going?
Find out function equations which model at least 3 aspects or portions of image. Justify the choice of equations by superimposing them on image.
In January 2005, population of California was 36.8 million and growing at annual rate of 1.3%. Suppose that growth continues at same rate. By how much will population increase between 2005 and 2030?
The sides of the rectangle are in a ratio 3:2 The area of a rectangle is 216 square centimeters. Determine the dimensions of a rectangle.
Assume again that John had only $8,000 to invest at starting, what interest rate would be needed to meet his goal at age 50?
Demand function is p=80-4q. Graph functions in first quadrant. Write equilibrium point and regions of surplus and shortage.
The investment of $9000 decreased by 2.4% each year. Find initial value of the investment, the 1-month decay factor, and the 1-month percent change of the investment.
The population of the certain species of bird is limited by kind of habitat requried for nesting. Population behaves according to logistic growth model. Determine initial bird population.
Doctors use radioactive iodine as the tracer in diagnosing certain thyroid gland disorders. How much of mass remains after twenty days?
With final payment due December 15, and that retailer charged you a $5 service fee. Thinking of fee as interest, what simple interest rate r would be paying for layaway plan?
Cost of food is $35 per person for first 100 people and $25 per person for every additional person beyond first 100. Determine the cost function.
Several printing presses are designed with large plates which print the fixed number of pages as the unit. Find cost of printing a book of 128 pages? 129 pages? p pages?
This top point was directly above on ground 4.71 m from same base point. How much did point on ground move toward base point?
Weight is released at time seconds and moves upward, oscillating in simple harmonic motion. It finishes one cycle in seconds. Write equation modeling displacement as the function of time.
The sum of digits of the three digit number is 12. Tens digit is 2 less than hundreds digit, and units digit is 4 less than sum of other two digits. What is the number?
Fund A returned 2% profit and Fund B returned 6% profit. How much she invested in Fund B, if total profit from two funds together was $1200?