Managed-care plans are a type of health insurance. Managed Care is a care system designed to control cost, service, and quality. It provides care for beneficiaries at reduced costs. Some of the examples of health care include Health Maintenance Organization, Preferred Provider Organization, and Point of Service. The managed care used in the United States meant to lessen the cost of pf health care and provide health insurance.

7 0

2 years ago

The half-life of polonium-218 is 3 min. if you start with 16 mg, how long will it be before only 1.0 mg remains?

babymother [125]

The decay equation is of the form
$m(t) = m_{0} e^{-kt}$
where
m(t) = the mass remaining after t minutes
m₀ = the initial mass
k = constant

Because the half-life is 3 minutes, therefore
$e^{-3k} = \frac{1}{2}$
Therefore
-3k = ln(0.5)
k = ln(0.5)/(-3) = 0.231

Because m₀ = 16 mg, the time, t, for the mass to decay to 1.0 mg is given by
$e^{-0.231t} = \frac{0.1}{16} =0.00625 \\\\
-0.231t = ln(0.00625) \\\\ t = \frac{ln(0.00625)}{-0.231} =21.97 \, min$

Answer: 22 min (nearest integer)

3 0

2 years ago