Answer:
In its broadest definition, “civic education” means all the processes that ... That makes the question of good citizenship relative to the ... These questions are rarely treated together as part of comprehensive theories of civic education; ... of virtue, so would the polis itself become more virtuous and excellent.
Step-by-step explanation:
Refer to the diagram shown below.
When x = 30 ft, the cable is at 15 ft, therefore y(30) = 15.
That is,
a(30 - h)² + k = 15 (1)
Also, because the distance between the supports is 90 ft, therefore
y(0) = 6 ft, and y(90) = 6 ft
That is,
a(-h)² + k = 6 (2)
a(90 - h)² + k = 6 (3)
From (2) and (3), obtain
a(90 - h)² = ah²
90² - 180h + h² = h²
180h = 90²
h = 45 ft.
From (1) and (2), obtain
225a + k = 15
2025a + k = 6
Therefore
1800a = -9
a = - 0.005
k = 15 - 225(-0.005) = 16.125 ft
Answer:
The equation for the cable is
y = - 0.005(x - 45)² + 16.125
A graph of the solution verifies that the solution is correct.
Answer:
trapezoid is the right answer
<h3>The projected amount the average American spent on health care in 2014 is $ 10075.91</h3>
<em><u>Solution:</u></em>
Given that,
The average American spent $8,508 on health care in 2011
The cost of health care is projected to rise about 5.8% per year for the years 2012-2022
<em><u>The increasing function is given as:</u></em>

Where,
y is future value
a is initial value
r is growth rate in decimal
t is number of years
From given,
a = 8508

t = 2011 to 2014 = 3 years
<em><u>Substituting the values, we get,</u></em>

Thus the projected amount the average American spent on health care in 2014 is $ 10075.91
Answer:
$49
Step-by-step explanation:
Given that the discounted price is $43.61 and this was at an 11% discount
hence the discounted price represents 100% - 11% = 89% of the original price.
if:
89% of original price = $43.61
1% of original price = $(43.61 / 89)
100% of original price = $(43.61 / 89) x 100 = $49