Answer:
The original amount deposit is $1641627.68.
Step-by-step explanation:
Given : If your balance after 8 years in the bank at a rate of interest of 11%% is 3783193.
To find : How much was your original deposit?
Solution :
Applying interest formula,

Where, A is the amount i.e. A=$3783193
P is the principal value i.e. the original deposit
r is the interest rate r=11%=0.11
t is the time t=8 years.
Substitute the value in the formula,





Therefore, The original amount deposit is $1641627.68.
Let
= amount of salt (in pounds) in the tank at time
(in minutes). Then
.
Salt flows in at a rate

and flows out at a rate

where 4 quarts = 1 gallon so 13 quarts = 3.25 gallon.
Then the net rate of salt flow is given by the differential equation

which I'll solve with the integrating factor method.



Integrate both sides. By the fundamental theorem of calculus,





After 1 hour = 60 minutes, the tank will contain

pounds of salt.
Answer:
- C. P’s surface area is greater than Q’s surface area.
Step-by-step explanation:
<em>Refer to attached</em>
With a corner removed, it doesn't change surface area of the cube as same area is exposed equal to the area of 3 small faces.
With the corner relocated to the top of the cube, it covers the area of one small face but adds up small 5 faces (4 sides and one top). In total the P has more surface area than the Q.
Correct answer choice is C.
Answer:
7036888693
Step-by-step explanation: