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Mark is drafting his fantasy football team. Right now, he can choose from 3 quarterbacks, 2 wide-receivers, and 5 linebackers. What is the probability that he will select a quarterback and then a wide-receiver?
Find an expression for the trigonometric equation:
F= 6 sin 8πt - 8 cos 8πt in the form : R sin (ωt+ α) and investigate its waveform over one cycle.
bank of america customers select their own three digit pin for use at atms
a)think of this as an experiment and think of four possible outcomes
The top and bottom margins of a poster are each 6 cm, and the side margins
are each 4 cm. If the area of the printed material on the poster (that is,
the area between the margins) is fixed at 384 cm2
, find the dimensions of the
poster with the smallest total area.
A company is planning to make an investment of $100,000 in a Machine. The company’s analyst had estimated that the useful life of the Machine is 5 years and that each year (from Year 1 to Year 5), the company will receive a net income of $35,000 from this investment. The acceptable cost of capital is assumed to be 10% p.a. Calculate:
(a) The payback period of this project/investment plan. [5 marks]
(b) The net present value (NPV) of this project/investment plan. [10 marks] (c) The internal rate of return (IRR) of this project/investment plan. [15 marks]
(d) Analyze the different results from (a)-(c) and make a proposal whether the company should proceed with this project. [5 marks]
(e) Determine the IRR that will reverse the decision you proposed in (d)
[15 marks]
A school principal and his wife as well as three other teachers are to be seated in a row so that the principal and his wife are next to each other. Find the number of ways this can be done
Write the parametric equations for a line segment passing through A(-5,2) and B(4,15).
Convert the following polar equation to rectangular form and identify the graph: r=2 sin⁡θ-4 cos⁡θ
Convert the following rectangular equation to polar form: 3x+4y=2
Find the rectangular coordinates of P if the polar coordinates are (-2,120°)
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