Is this even a question? its 66/100 you always use the first examining over 100.... makes sense
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
Please use $ signs when discussing US currency.
<span>$152 in 4 days. At that rate how many days will it take him to earn $532
One way to solve this is to set up and solve an equation of ratios:
$152 $532
---------- = ---------
4 days x
2128
Then 152x = 4(532), and x = ---------- = 14. It'll take Seth 14 days to earn $532.
152</span>
28 because there’s 4 sides to a square and 4 times 7 is 28
Answer:
628.4cm²
Step-by-step explanation:
Find the diagram attached
Area of the semi circle = πr²/2
r is the radius = 10cm
Area of the semi circle = π(10)²/2
Area of the semi circle = 3.142(100)/2
Area of the semi circle = 314.2×2cm²
Area of the semi circle =628.4cm²
Hence the area of the semicircle is 628.4cm²
