Answer:
96.46
Step-by-step explanation:
Volume of the Gallon =140 gallons
At time t=0, V(0)=40 gallons
V(t)=2t+k, Where K is a constant.
Since V(0)=40
V(0)=2(0)+k=40
k=40
V(t)=40+2t
The Change in Salt Concentration
Rearranging
Using Integrating Factor:
At t=0, C(0)=0.125, k_0=5
At V(t)=140
V(t)=40+2t=140
t=50
Just the tank overflows, C(t)=96.46
25-18=7
50+7=57
86-57=29
She started with 29 dollars
Check your work:
29+25=54
54-18=36
36+50=86
it went up: 375 *5 = 1875 feet total
it went down: 225 *6 = 1350 feet total
1875-1350 = 525
it is 525 feet above the ground