Answer:
C
Step-by-step explanation:
Since XY = XZ = 6, then the triangle is isosceles.
The base angles are therefore congruent, that is
∠ Y = ∠ Z = 70°
The sum of the 3 angles in the triangle = 180°, thus
∠ X = 180° - (70 + 70)° = 180° - 140° = 40° → C
Answer:
1056
Step-by-step explanation:
dP/dt = 0.0013P (1 − P/6200)
Euler's method states:
yₙ₊₁ = yₙ + Δt F(tₙ, yₙ)
Substituting:
P(t+1) = P(t) + (1) [0.0013 P(t) (1 − P(t)/6200)]
P(t+1) = P(t) + 0.0013 P(t) (1 − P(t)/6200)
We know that when t=0, P=1000.
P(1) = P(0) + 0.0013 P(0) (1 − P(0)/6200)
P(1) = 1000 + 0.0013 (1000) (1 − 1000/6200)
P(1) = 1001.1
Repeating the pattern, we get P(50) is:
P(50) = 1055.7
Rounded to the nearest whole number, P(50) = 1056.
Answer:
126
Step-by-step explanation:
The number of numbers divisible by 9 is ...
j = floor(500/9) = 55
The number of numbers divisible by 7 is ...
k = floor(500/7) = 71
Then the total (j+k) is ...
j +k = 55 +71 = 126
The total labor year cost increase is 15,000