Provide an appropriate response.There are some fundamental differences between graphing a hyperbola centered at the origin and graphing an ellipse centered at the origin. What are these differences?

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Answers will vary. One possibility: To graph a hyperbola, you find the intercepts on the appropriate axis, find the fundamental rectangle, and then graph the two asymptote lines before actually sketching the hyperbola. When graphing an ellipse, you find the x- and y-intercepts and then sketch.

Mathematics

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Solve the problem.Martin purchased some municipal bonds yielding 8% annually and some certificates of deposit yielding 11% annually. If Martin's investment amounts to $23,000 and the annual income is $2230, how much money is invested in bonds and how much is invested in certificates of deposit?

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Mathematics

Find the probability of the event.If a single die is tossed once, find the probability of the following event.A 2 or a 1 or a 4

A. 7
B.
C.
D.

Mathematics

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree.19y7 - 8

A. Binomial, degree 7 B. Binomial, degree 0 C. Binomial, degree 8 D. Monomial, degree 19

Mathematics

Karen has been depositing $150 at the end of each month in a tax-free retirement account since she was 20. Matt, who is the same age as Karen, started depositing $200 at the end of each month in a tax-free retirement account when he was 25. Assuming that both accounts have been and will be earning interest at the rate of 6%/year compounded monthly, who will end up with the larger retirement account at the age of 65, Karen or Matt?

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Mathematics