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Suppose that $19,538 s invested at an interest rate of 6.9% per year, compounded continuously.
a) Find the exponential function that describes the amount in the account after timet, in years.
b) What is the balance after 1year? 2years? 5years? 10years?
c) What is the doubling time?
System of two equations.
The circumference of a circle of radius r is given by the polynomial 2pie-r, where pie is an irrational number. For an approximation of pie, use 3.14. Find the circumference of a circle with the radius 4cm.
Prove that the equivalence relation modulo m where m is an integer, forms a ring. Also, does this same equivalence relation form a field and why?
Explain how multiplying and dividing rational expressions is similar to multiplication and division of fractions. Give an example of each and compare the process.
the perimeter of a rectangle is 68 ft. the ratio of its length to its width is 9 8. what are the dimensions of the
Graph the function and indicate the relative extrema on your graph - state the intervals where f(x) is increasing and where it is decreasing.
Using the bilinear transformation and Routh's Stability Criterion find the range of value of the gain for the system remains stable.
Solve the quadratic equation for m.
Find the equation by isolating the natural logarithm.
Comparing wind chills. Use the formula from Exercise 107 to determine who will feel colder: a person in Minneapolis at 10°F with a 15-mph wind or a person in Chicago at 20°F with a 25-mph wind.
Problem on profit & loss
What is the maximum price that Helen can charge and still sell at least one can? What happens to her sales every time she raises her price by $1?
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