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Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues.
{-1/4, 2/9, -3/16, 4/25,......}
I want to be earning an annual salary of $100,000 when I retire in 15 years. I have been offered a job that guarantees an annual salary increase of 4% per year, and the starting salary is negotiable. What is the lowest salary that I should request..
Probability of Lamp Failure, A lamp has two bulbs, each of a type with an average lifetime of 6 hours. The probability density function for the lifetime of a bulb
A ranger in fire tower A spots a fire at a direction of 295 degrees. A ranger in fire tower B, located 45 miles at a direction of 45 degrees from tower A, spots the same fire at direction of 255 degrees.
Please explain how to solve the following: Use the disk method to verify that the volume of a right circular cone is 1/3pir^2h.
Adams High School has 174 freshman, 181 sophomores, 214 juniors, and 249 seniors. If two students are selected at random without replacement, what is the probability of selecting a freshman on the first selection and a senior on the second selecti..
Three students are doing an assignment.John has finished 4/5 of the assignment,Sarah has finished 3/4 and Jo has finished 2/3. Which student has done the most?
How high does it go before returning to the ground?
Lauren plans to deposit $3000 into a bank account at the beginning of next month and $250/month into the same account at the end of that month and at the end of each subsequent month for the next 7 yr.
If they deposit this money at the end of each month into a savings account paying interest at the rate of 6.5%/year compounded monthly, how much money will be in their travel fund at the end of the fourth year? (Round your answer to the nearest ce..
An automobile manufacturer has discovered that 20% of all the transmissions it installed in a particular style of truck one year are defective. It has contacted the owners of these vehicles and asked them to return their trucks to the dealer to ch..
Give an example of a linear function and show at least one method of graphing it. By looking at the graph of a line, how can you tell if its slope is negative? What kind of line has a slope of zero and why?
Explain what the index of a subgroup and a coset of a group are. Also, prove that if N is a subgroup of a group G such that [G: N] = 2, and if "a" and "b" are elements of G,
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