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1. A woman deposits $50,000 in a savings account with 4% continuously compounded interest. How many years must she wait until the balance has doubled? Use the Compounding continuously formula and show the steps involved in getting the solution.
2. True or false: The function " f(x) = 3^x " grows three times faster than the function " g(x) = x ". Explain. It may help you to compare the graphs of these two equations in order to reach an answer.
Increasing and decreasing intervals.
find the dimensions that produce the maximum floor area for a one-story house that is rectangular in shape and has a perimeter
Who is the Hermite interpolation technique named after? Describe at least three of his contributions to the field of mathematics. Use at least one source in addition to your textbook with an appropriate citation and reference. (Do not use Wikipedi..
A special window has the shape of a rectangle surmounted by an equilateral triangle. If the perimeter of the window is 16 feet, what dimensions will admit the most light?
The drying rate in an industrial process is dependent on many factors and varies according to the following distribution.
alan is building a garden shaped like a rectangle with a semicircle attached to one short side. if he has 60 feet of fencing to go around it, what dimensions will give him the maximum area in the garden?
Prove using mathematical induction.
Find the empirical probability that an iris bulb of this type will bloom. Give answer as a fraction in lowest terms. How many of the bulbs should she plant next fall if she would like at least 52 to bloom?
The perimeter of a rectangular lot is 56 meters. The length exceeds the width by 12 meters. Find the length of the lot.
How much would you have in a bank account at the end of 9 years if $9,390 is invested at 3% compounded quarterly?
evaluate to five decimal places using a calculator
at which time 10 of the patients still have gonorrhea. Calculate the 95% confidence interval for p, which is the probability of being cured.
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