a. Using REGRESSION, find a cubic function, y = a x 3 + b x 2 + c x + d , that fits the data. y = 0.000009 x 3 + 0.00082 x 2 + 0.0426 x + 0.347 b. Graph the cubic function. c. Use the cubic function to predict the average price of a movie ticket in 2015 and in 2020. Do these estimates appear reasonable? d. Use the function to predict the year when the average price of a ticket will reach $20. Does this estimate seem reasonable?
a. Using REGRESSION, find a cubic function, y = a x 3 + b x 2 + c x + d , that fits the data. y = 0.000009 x 3 + 0.00082 x 2 + 0.0426 x + 0.347 b. Graph the cubic function. c. Use the cubic function to predict the average price of a movie ticket in 2015 and in 2020. Do these estimates appear reasonable? d. Use the function to predict the year when the average price of a ticket will reach $20. Does this estimate seem reasonable?
Solution Summary: The author explains how to determine the cubic function using regression for the provided data.
Can you answer this question and give step by step and why and how to get it. Can you write it (numerical method)
Can you answer this question and give step by step and why and how to get it. Can you write it (numerical method)
There are three options for investing $1150. The first earns 10% compounded annually, the second earns 10% compounded quarterly, and the third earns 10% compounded continuously. Find equations that model each investment growth and
use a graphing utility to graph each model in the same viewing window over a 20-year period. Use the graph to determine which investment yields the highest return after 20 years. What are the differences in earnings among the three
investment?
STEP 1: The formula for compound interest is
A =
nt
= P(1 + − − ) n²,
where n is the number of compoundings per year, t is the number of years, r is the interest rate, P is the principal, and A is the amount (balance) after t years. For continuous compounding, the formula reduces to
A = Pert
Find r and n for each model, and use these values to write A in terms of t for each case.
Annual Model
r=0.10
A = Y(t) = 1150 (1.10)*
n = 1
Quarterly Model
r = 0.10
n = 4
A = Q(t) = 1150(1.025) 4t
Continuous Model
r=0.10
A = C(t) =…
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