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You wish to have $500,000 saved up in 30 years. Assuming that you can get an interest rate of prime + 5% on your investment (compounded quarterly.)
a) How much do you need to invest today to have $500,000 30 years in the future?
b) How much of that total is interest?
Suppose that each of the players has a defined strength (all different), and the strongest player wins each match. then is it clear that the first prize goes to the strongest of all the players. what is the probability that the second prize goes t..
A body of mass 6 kg moves in a (counterclockwise) circular path of radius 7 meters, making one revolution every 8 seconds. You may assume the circle is in the xy-plane, and so you may ignore the third component.
Probability amd Mutually Exclusive Events, A fair dice is rolled. What is the probability of rolling an odd number OR a number less than 3?
The population of the Earth is approximately 6 billion people and is growing at an annual rate of 1.9%. Assume the growth follows a Malthusian model. By what factor will the current population of the Earth increase in 119 years? (Round your answer..
use inductive reasoning to determine the next term: 22,43,65,87,1011,1213,1417,1619
One day, a person went to horse racing area, Instead of counting the number of human and horses, he instead counted 74 heads and 196 legs. Yet he knew the number of humans and horses there. How did he do it, and how many humans and horses are ther..
Find the volume of a triangle with sides y = 2, y = x+1, y = 11-x. The vertices are (5, 6), (1, 2) and (9, 2). Find the volume by rotating about y-axis:
When adding or subtracting radical expressions, what must be true about the radicand (the data under the radical symbol) and the index? If the problem does not meet this criteria, what must be done?
the length of the transverse axis is 8, and the length of the blue lilne segment is 7. How long is the red line segment?
A straight line moves in such a way that the sum of the reciprocals of the intercepts of the axes is equal to 1/k , where k is a constant. Prove that the line will pass through a fixed point.
for the remaining 30% you choose randomly among the 5 answers. What percent of the answers should you expect to get right?
Is there convincing evidence that the proportion of American adults who oppose reinstatement of the draft is greater than 0.7? Use a significance level of 0.05. (For z give the answer to two decimal places. For P give the answer to four decimal pl..
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