There will have to be 5 because of the 4
Answer:
2019.
Step-by-step explanation:
We have been given that for the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled by
where t is the number of years past 2000.
To find the year in which national health care expenditures expected to reach $4.0 trillion (that is, $4,000 billion), we will substitute
in our given formula and solve for t as:




Take natural log of both sides:





So in the 18.5 years after 2000 the expenditure will reach 4 trillion.

Therefore, in year 2019 national health care expenditures are expected to reach $4.0 trillion.
Answer:
b = 33m is the answer
Step-by-step explanation:
a = 44m
b = ?
c = 55m
According to the Pythagoras theorem,
a² + b² = c²
44² + b² = 55²
1936 + b² = 3025
b² = 3025 - 1936
b² = 1089
b = 33m
∴ b = 33m is the length of the missing leg.
Answer:
81000 people went to Bonnaroo.
192000 people went to Lollapalooza.
Step-by-step explanation:
Given:
Total number of people attending festivals, 
Number of people attending Lollapalooza is 30,000 more than twice the people attending Bonnaroo.
Unknown:
Number of people attending Lollapalooza and Bonnaroo.
Let the number of people attending Bonnaroo be
.
Therefore, the number of people attending Lollapalooza is equal to 
Evaluate:
Sum of people attending Bonnaroo and Lollapalooza is equal to the total number of people attending the festivals. So,

Substitute and Solve:
Now, we have,
.
Substitute 81000 for
and solve for the number of people attending both the festivals. This gives,
Number of people attending Bonnaroo = 
Number of people attending Lollapalooza = 
Therefore, 81000 people went to Bonnaroo and 192000 people went to Lollapalooza.