Answer:
Associates=7
Partners=10
Step-by-step explanation:
Let the number of associates be x while partners be y. Since they are a total of 17 then
x+y=17
Therefore, x=17-y
Also considering the charges then
800x+1800y=23600
Subsituting x with 17-y then
800(17-y)+1800y=23600
13600-800y+1800y=23600
1000y=10000
Y=10
X=17-y=17-10=7
Answer:
(P(t)) = P₀/(1 - P₀(kt)) was proved below.
Step-by-step explanation:
From the question, since β and δ are both proportional to P, we can deduce the following equation ;
dP/dt = k(M-P)P
dP/dt = (P^(2))(A-B)
If k = (A-B);
dP/dt = (P^(2))k
Thus, we obtain;
dP/(P^(2)) = k dt
((P(t), P₀)∫)dS/(S^(2)) = k∫dt
Thus; [(-1)/P(t)] + (1/P₀) = kt
Simplifying,
1/(P(t)) = (1/P₀) - kt
Multiply each term by (P(t)) to get ;
1 = (P(t))/P₀) - (P(t))(kt)
Multiply each term by (P₀) to give ;
P₀ = (P(t))[1 - P₀(kt)]
Divide both sides by (1-kt),
Thus; (P(t)) = P₀/(1 - P₀(kt))
One of the easiest question I've seen.
It's a scale factor of 5 because,
5*5=25
5*3=15
5*4=20
Hope this helps!
Answer:
150 short sleeves ordered
100 long sleeves ordered
Answer:
x=2, y=3.
Step-by-step explanation:
0.2x + 0.3y = 1.3
0.4x + 0.5y = 2.3
From the first equation y = (1.3 - 0.2x) / 0.3
Substituting in second equation:
0.4x + 0.5(1.3 - 0.2x) / 0.3 = 2.3
Multiply through by 0.3:
0.12x + 0.5(1.3 - 0.2x) = 0.69
0.12x + 0.65 - 0.1x = 0.69
0.02x = 0.04
x = 2.
Substituting for x in equation 1:
0.2* 2 + 0.3y = 1.3
0.4 + 0.3y = 1.3
0.3y = 1.3 - 0.4 = 0.9
y = 3.
Check in equation 2:
0.4 * 2 + 0.5(3) = 0.8 + 1.5 = 2.3.
- Correct.
