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Applications of exponential function: Principal, rate, time.
A person deposits $3,000 in a bank account which pays 3% annual interest compounded continuously. How many years will it take for the amount of money in the account to double? Use the above process to determine an exact solution and the check your solution using the estimate of the "law of 72".
An open rectangular box has volume of 32 cubic cm. What are the lengths of the edges giving the minimum surface area?
If there are 398 programming hours available, 164 graphic artist hours available, and 58 mathematician hours available, how many copies of each software can be produced?
A pollster wishes to know the percentage p of people in a population who intend to vote for a particular candidate. How large must a random sample with replacement be in order to be at least 95 % sure that the sample percentage is within one perce..
A triangular plot of land has sides of lengths 320 feet, 250 feet, and 80 feet. Approximate the smallest angle between the sides to the nearest tenth of a degree.
Obtain (generate) a random sample of 180 numbers between 1 and 60. You may use a calculator, excel, or a table of random numbers to achieve this. Use your sample to answer the following questions.
Describe objects that have each of the following types of symmetry.
Sand falling from a chite forms a conical pile whose hieght is always equal to 4/3 the radius of the base. how fast is the volume changing when the radius of the base
Conclude from the previous part that lim sin(1/x) as x goes to 0 does not exist.
two angles are complementary. the sum of the first angle and half the secondangle is 81 degrees. Find the measures of the angles.
A football player runs for 1044 yards in 2000 and for 970 yards in 2004. Find the average rate of change in his performance.
The perimeter of a rectangular racquetball floor is 120 feet. The length of the floor is twice its width. find the length and width of the court.
A volcano fills the volume between the graphs z=0 and z=1/(x^2+y^2)^23 , and outside the cylinder x^2+y^2=1. Find the volume of this volcano.
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