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Your rich aunt gives you a high school graduation present of $110,000. Her present is in the form of a 7-year bond with an annual interest rate of 8.4%. The bond says that it will be worth $110,000 in 7 years.
Required:
What is this gift worth at the present time?
Let f be the function whose graph goes through point (3,6) and whose derivative is given by f'(x) = (1+e^(x))/(x^2). Write the equation of the line tangent to the graph of f at x=3 and use it to approximate f(3.1)
Transportation problem: Cost minimization, Three quarries produce lime which is then shipped to five warehouses
CARPENTRY Mrs. Valdez can assemble a chair in 1 day and a table in 4 days. Graph the function to determine how many of each type of furniture Mrs. Valdez can assemble in 20 days. Is the function continuous or discrete? Explain.
a new fence is constructed on three sides of a housing block with area 240m^2 the fourth side facing the road is left open. if 52 of fencing is used, what are the dimensions of the block?
A train 360 m long runs with a speed of 45 km/hr. What time will it take to pass a platform of 140 m long?
Find a nontrivial solution of Ax = 0.
Let K1 and K2 be finite extensions of F contained in the field K, and assume both are splitting fields over F. Prove that their composite K1K2 is splitting field over F.
Define a linear-bounded automaton. Explain how linearbounded automata are used to recognize sets. Which sets are recognized by linear-bounded automata? Provide an outline of a proof justifying your answer.
In what range of values do the proportions p from 95% of all samples fall? (c) In what range of values do the proportions p from 99.7% of all samples fall?
If I have one cost function f(x) and I have 3 subject function (nonlinear function), the length of vector x is 14. Can I solve it using matlab function (fmincon)? And if I can, can you show me example?
Suppose that Connecticut decided to increase its tax rates by 20% and add a filing fee of $100. Write a function for the new state income tax.
For the following differential equation, provide the ode45() command used to solve it in MATLAB. Also, provide the function that stores this differential equation so that ode45 can invoke it.
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