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Bank Accounts
We are all used to the conveniences that come with modern banking. We can have our salary paid directly in our bank account, pay our bills online and pay for purchases with a cash card.
Your map shows the distance to be 3,100 miles. If your car averages 25 mpg and gasoline costs $3.00 per gallon, approximately how much money will the trip cost you for gasoline?
An aquarium is to be made in the shape of a rectangular solid with a square base and an open top. The volume of the aquarium is to be 108 cubic inches. What dimensions will minimize the amount of material needed to build it?
Give R code to compute the skewness and kurtosis of x.
Estimate the error in the the Trapezoid rule approximation. How large must n be so that Tn is accurate within 0.001? Sketch a direction field for the ordinary equation y' = k(y-a).
Two balls of same mass are projected one vertically upwards and the other at angle 60o with the vertical. Find the ratio of their potential energy at the higest point.
Summarize how agriculture in the United States has changed over the past century. About how much of each dollar spent on food currently goes to farmers?
The university of Metropolis requires its students to pass an examination in college-level mathematics before they can graduate. The students are given three chances to pass the exam, What percent of the students are allowed to graduate because of ..
A circular swimming pool has a diameter of 25 ft, the sides are 6 ft high, and the depth of the water is 5 ft. How much work is required to pump all of the water over the side? (Use the fact that water weighs 62.5 lb/ft3.)
The length of a rectangle is 6 times the width. If the perimeter is to be at least 98 meters, what are the possible values for the width?
Calculate d/dx cos(x) by using the chain rule and the trig identities and write tan(x); sec(x); csc(x); and cot(x) in terms of sin(x) and cos(x):
a small trucking company has determined that on an annual basis the distance travelled per truck is normally
Many musical composers have used mathematics in their compositions. Some artists have created artworks that use or reflect mathematical principles. Research one such composer or artist, and write an essay discussing the role of mathematics in the c..
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