Solve the problem.The amount of money, in billions of dollars, spent on health care that was covered by insurance in a certain country in a particular year can be approximated by the function  where x represents the number of years after 2005. The amount of money, in billions of dollars, spent on health care that was paid out of pocket in a certain country in a particular year can be approximated by the function  where again x represents the number of years after 2005. (i) Find (f - g)(x). Explain, in your own words, what this function represents.(ii) Find (f -

g)(60). Explain, in your own words, what this number represents.

A. (i) (f - g)(x) = x2 + 5x + 130; this is the difference between health-care costs covered by insurance and health-care costs that are paid out of pocket, in billions of dollars, x years after 2005.
(ii) 4030; health-care costs covered by insurance will be $4,030,000,000,000 higher than health-care costs that are paid out of pocket in 2065.
B. (i) (f - g)(x) = x2 + 5x + 130; this is the difference between health-care costs that are paid out of pocket and those that are covered by insurance, in billions of dollars, x years after 2005.
(ii) 4030; health-care costs covered by insurance will be $4,030,000,000,000 less than health-care costs that are paid out of pocket in 2065.
C. (i) (f - g)(x) = x2 - 23x - 428; this is the difference between health-care costs covered by insurance and health-care costs that are paid out of pocket, in billions of dollars, x years after 2005.
(ii) 1792; health-care costs covered by insurance will be $1,792,000,000,000 higher than health-care costs that are paid out of pocket in 2065.
D. (i) (f - g)(x) = x2 - 23x - 428; this is the difference between health-care costs that are paid out of pocket and those that are covered by insurance, in billions of dollars, x years after 2005.
(ii) 1792; health-care costs covered by insurance will be $1,792,000,000,000 less than health-care costs that are paid out of pocket in 2065.


Answer: A

Mathematics

You might also like to view...

Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.F = xi + yj + zk ; D: the thick cylinder 2 ? x2 + y2 ? 6 , 

A. 832? B. 1664? C. 3328? D. 4992?

Mathematics

Use the graph of a known basic function and vertical shifting to sketch the function.y = x3 + 3

A.

B.

C.

D.

Mathematics

Provide an appropriate response.The number of loaves of whole wheat bread left on the shelf of a local quick stop at closing (denoted by the random variable X) varies from day to day. Past records show that the probability distribution of X is as shown in the following table. Find the probability that there will be at least three loaves left over at the end of any given day. 

A. 0.20 B. 0.65 C. 0.35 D. 0.15

Mathematics

Construct a truth table for the statement.(~p ? ~q) ? ~(q ? p)

A.

B.

C.

D.

Mathematics