During a certain epidemic, the number of people that are infected at any time increases at a rate proportional to the
number of people that are infected at that time. If 1,000 people
are infected when the epidemic is first discovered, and 1,200
are infected 7 days later, how many people are infected 12 days
after the epidemic is first discovered?

9514 1404 393

  1367 people

Step-by-step explanation:

The wording "a rate proportional to the number" indicates the function is exponential. The growth factor is 1200/1000 = 1.2 in 7 days, so the exponential function can be written ...

  i(t) = 1000(1.2^(t/7))

After 12 days, the number infected is modeled as ...

  i(12) = 1000(1.2^(12/7)) ≈ 1367

About 1367 people are infected 12 days after discovery.

all group life insurance is term insurance. actually it is annual renewable term and it is rated on the average age and claims experience of the entire group, which is called "experience rating." remember, this type of insurance has a 31-day grace period and is convertible to whole life upon leaving employment. a contributory group plan requires that both the employer and the employees pay part of the premium. at least 75% of those eligible must participate, so the group is sure to get most of the healthy employees as well as those that are sick.

step-by-step explanation: