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:

Step-by-step explanation:
Given


Required
Determine f(3)
f(3) implies that x = 3.
We make use of

Because x >1 (i.e. 3 > 1)
Substitute 3 for x in f(x) =-3x + 1



Answer:
5.0
Step-by-step explanation:
The data in order looks like so:
98.6, 99.7, 100.2, 101.8, 102.9, 103.6
Take the greatest value and subtract it from the least value to get the range of the data:
103.6-98.6=5
5 is your answer
Hope this helps!
Answer:
8100 Hours
Step-by-step explanation:
We all have heard of miles per hour, so just plug that formula into the question!
Ex. 18 miles PER HOUR x 450 MILES = 8100 hours
Hope this helps!
Answer:
X = 2
Y = 1
Step-by-step explanation:
x + 4y = 6
3x + 3y = 9
3x + 12y = 18
3x + 3y = 9
9y = 9
x + 4y = 6
y = 1
x + 4 * 1 = 6
y = 1
x + 4 = 6
y = 1
x = 2
so there ia only 1 solution for this equation is (2;1)
Done :))