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Question: A deposit is made to a bank account paying 8% interest compounded continuously. Payments totaling $2000 per year are made from this account.
(a) Write a differential equation for the balance, B, in the account after t years.
(b) Find the equilibrium solution of the differential equation. Is the equilibrium stable or unstable? Explain what happens to an account that begins with slightly more money or slightly less money than the equilibrium value.
(c) Write the solution to the differential equation.
(d) How much is in the account after 5 years if the initial deposit is (i) $20,000? (ii) $30,000?
Cutter Enterprises purchased equipment for $72,000 on January 1, 2006. The equipment is expected to have a five-year life, with a residual value of $6,000 at the end of five years.
Draw an aggregate-demand / aggregate-supply diagram to show the short-run effect of this decision on the economy. Label the new levels of prices and real output. Explain in words why the aggregate quantity of output supplied changes.
the lifetime of a light bulb is normally distributed with a mean life of 1000 hours and a standard deviation of 30 hours. Find the probability that a randomly selected light bulb lasts longer than 1045 hours.
A study conducted at a certain college shows that 63% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that among 6 randomly selected graduates, at least one finds a job in his or her ..
Prepare the operating activities section of the statement of cash flows using the indirect method.Provide a brief explanation as to why cash flow from operating activities is more or less than the net income of the period.
The temperature field in the neighborhood of (π / 4, 0) is given by T(x, y) = square root 2 e-y cos (x). Find the path followed by a heat seeking particle originating at (π / 4, 0).
A point mass of 2 grams located 3 centimeters to the left of the origin and a point mass of 5 grams located 4 centimeters to the right of the origin.
HOURS WORKED IN SOME COUNTRIES The number of average hours worked per year per worker in the United States and five European countries in 2002.
Complete the proof of the Chinese remainder theorem by showing that the simultaneous solution of a system of linear congruences modulo pairwise relatively prime moduli is unique modulo the product of these moduli.
Give an explanation which theory is better about why Giza pyramid was built?
When graphing a linear inequality, how do you know if the inequality represents the area above the line? What are the necessary and sufficient conditions for inequalities to represent an area in the first quadrant?
At a fundraiser breakfast, the bill for three glasses of orange juice and five pancake specials is $7.60, whereas the bill for one glass of orange juice.
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