Answer:In 10 years, you will have $10,386.46
Step-by-step explanation:
Answer:
x = -3, y = -3.5. As an ordered pair it is (-3, -3.5).
Step-by-step explanation:
9x − 4y = −13
9x − 2y = -20
Subtract:-
-2y = 7
y = -3.5.
Substitute for y in the first equation:
9x - 4(-3.5) = -13
9x = -27
x = -3.
Answer:
x = 50*e∧ -t/100
Step-by-step explanation:
We assume:
1.-That the volume of mixing is always constant 300 gallons
2.-The mixing is instantaneous
Δ(x)t = Amount in - Amount out
Amount = rate * concentration*Δt
Amount in = 3 gallons/ min * 0 = 0
Amount out = 3 gallons/min * x/ 300*Δt
Then
Δ(x)t/Δt = - 3*x/300 Δt⇒0 lim Δ(x)t/Δt = dx/dt
dx/dt = - x/100
dx/ x = - dt/100
A linear first degree differential equation
∫ dx/x = ∫ - dt/100
Ln x = - t/100 + C
initial conditions to determine C
t= 0 x = 50 pounds
Ln (50) = 0/100 * C
C = ln (50)
Then final solution is:
Ln x = - t/100 + Ln(50) or
e∧ Lnx = e ∧ ( -t/100 + Ln(50))
x = e∧ ( -t/100) * e∧Ln(50)
x = e∧ ( -t/100) * 50
x = 50*e∧ -t/100
Answer:
23
Step-by-step explanation:
So you want to add 7x degrees and (x-4) degrees. And it will be 8x - 4 = 180 degrees because it's 180 degrees in a straight line. And you want to + the 180 by 4 because there is -4 on the other side. so it will be 8x = 184 and you just divide 184 by 8 and it will be 23 easy. if you want to my help again you can text me on instargram jason_lee093
