Answer:
6,840 casts
Step-by-step explanation:
Assuming that every actor can play each of the 4 roles and that each role is different, the number of possible casts including at least one of sir Ian and Patrick is given by the total number of possible casts (permutation of 4 out of 12 actors), minus the number of casts without sir Ian and Patrick (permutation of 4 out of 10 actors):

There are 6,840 possible casts.
Answer:
A = 7,241.2454026112 square mm.
or exact : A = 2,304.96*π sq mm
Step-by-step explanation:
Cylinder formula: A = π* r^2 + 2 *π * r* h + π*r^2
is the surface area.
d = 2r = 39.2 mm
h = 39.2 mm
r = 19.6 mm
A = π* r^2 + 2 *π * r* h + π*r^2
A = 2* π* (19.6)^2 + 2π (19.6)*(39.2)
A = 2,413.748467537 + 4,827.496935
A = 7,241.2454026112 square mm.
or
A = 2*pi* (768.32 + 384.16)
A = 2*1,152.48* pi
A = 2,304.96*π sq mm
Answer:
Total Commission = $400
Step-by-step explanation:
Since total is $9000 (in sales) -- commision is 4% on the first $8000 and 8% in the additional part over $8000 (9000-8000=1000). So 8% on $1000.
<u>Total commission</u> = 4% of 8000 + 8% of 1000
= (0.04)(8000) + (0.08)(1000)
= 400
Total Commission is $400
Answer:
9.86, go buy a calculator.
Step-by-step explanation:
Go to store.
Buy calculator.
9.86
Answer:
y= -1/3x - 2/3
Step-by-step explanation:
y- intercept is (0, -2/3) and the x intercept is (0, -2).
To find the slope of an equation, you do rise over run. To get from (0, -2/3) to (0, -2), you rise 2/3 and run -2. 2/3 divided by -2 is -1/3, that is where you get the slope from.