With U. S. Department of Health and Human Services data from 2002 and projected to 2024, the total public expenditures for health care H can be modeled by H = 1,500e0.053t where t is the number of years past 2000 and H is in billions of dollars. If this model is accurate, at what rate (in billions of dollars per year) will health care expenditures change in 2021? (Round your answer to one decimal place.) $ billion/year

  242.0 billion dollars per year

Step-by-step explanation:

The rate of change of H(t) is the derivative of the function:

  H'(t) = 1500(0.053)e^(0.053t) = 79.5e^(0.053t)

Then, 21 years after 2000, the rate of change is expected to be ...

 H'(21) = 79.5e^(0.053·21) ≈ 242.0 . . . . billion dollars per year

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet

2 x 503

step-by-step explanation:

its 1006