Answer:
-439
Step-by-step explanation:
(s circle t) (negative 7) is a notation for a compound function.
A compound function is a function that has as an argument another function.
Another notation for this compound function is s(t(-7)), that is, the result of the function t(-7) is the value that will be used in the function s(x).
So, first we calculate the value of t(-7):
t(x) = 3x
t(-7) = 3*(-7) = -21
Now, we apply this value for s(x):
s(x) = 2 - x2
s(t(-7)) = s(-21) = 2 - (-21)^2 = 2 - 441 = -439
Answer:
The Answer is b. 1.5Million
Step-by-step explanation:
Adult Population = 50 Million
Labor-Force Rate = 60%
Total Labor Force of Adult population = 50Million*60% = 30Million
Unemployment Rate = 5%
People Unemployment =
Total Labor force of Adult population * Unemployment rate
People Unemployment = 30Millon*5%
People Unemployment = 1.5Million
<span>Tomio, age 28, takes out $50,000 of straight-life insurance. His annual premium is $418.20. Using the tables found in the textbook, determine the cash value of his policy at the end of 20 years.
A. $26,500
B. $30,000
C. $13,250
D. $26,000
</span>50,000/1,000 = 50
265*50 = $13,250
So the cash value of this policy is $13,250
<span>
The correct answer is:
</span><span>C. $13,250</span>
Answer:
(3/4)a
Step-by-step explanation:
The angle at K is 120°, so the angle at L is its supplement: 60°. That makes triangle FKL an equilateral triangle with a base of FL = a. The vertex at K is centered over the base, so is a/2 from G.
The midsegement length is the average of GK and FL, so is ...
midsegment = (GK +FL)/2 = (a/2 +a)/2
midsegment = (3/4)a
<span>Let x = the miles Jeanie ran
y = the miles Jeanie biked
T = 2 hours total time for the duathlon
v1 = 8.5 mph Jeanie's running speed and
v2 = 16 mph Jeanie's biking speed
But T = Jean's time she ran t1 + time she biked t2 I. e t1 + t2 = 2
So we have average speed v2 when she biked = distance (y) / time (t2)
Distance y = v2 * t2 = 16 * t2 and distance when she ran x = 8.5 * t1
Since she covered 27 miles while running and biking we have
x + y = 27
8.5t1 + 16t2 =27 ------(1)
t1 + t2 = 2 --------------(2)
The simultaneous equation gives us
t1 = 2/3 and t2 which is time she biked = 4/3
So 4/3 = 1 1/3. Which is 1 hour 20 minutes</span>