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Question: LOTTERY PAYOUTS A state lottery commission pays the winner of the "Million Dollar" lottery 20 installments of $50,000/year. The commission makes the first payment of $50,000 immediately and the other n = 19 payments at the end of each of the next 19 yr. Determine how much money the commission should have in the bank initially to guarantee the payments, assuming that the balance on deposit with the bank earns interest at the rate of 8%/year compounded yearly.
A simple rule of thumb for determining your maximum safe heart rate (in beats per minute) is to subtract your age from 220. Find a linear model for the minimum heart rate m that a person of age x years should maintain while exercising
Which quadrant wil the area be if X GTE 0 and Y LTE? Can the area be shifted to a different quadrant simply by using additional inequalities? Why?
an inverted cone of revolution whose slant height is 15 cm. holds a liter of liquid. how far from the vertex should marks be placed on the slant height to indicate 1 milliliter?
Determine whether f(x) = cos(sin(x^100)) is periodic, and if so, what the (smallest) period is?
If α is even, prove that α-1 is also even. Does a corresponding result hold if α is odd? List the left and right cosets of the subgroups in each of the following:
If the cables to be delivered are selected at random, how many of the cables are expected to have a strength less than 1910 pounds?
Compute the determinants using a cofactor expansion across the first row.
A woman 1.6 m tall stands 2.2 m in front of a plane mirror. What would be the required minimum height of the mirror if she were to stand 4.6 m away?
Identify any symbols you choose to use.
Explain why the system has a unique solution.
How much time do you have to assemble each mousetrap?
For what values or range of values are the following functions undefined
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