Answer:
V = 20.2969 mm^3 @ t = 10
r = 1.692 mm @ t = 10
Step-by-step explanation:
The solution to the first order ordinary differential equation:

Using Euler's method

Where initial droplet volume is:

Hence, the iterative solution will be as next:
- i = 1, ti = 0, Vi = 65.45

- i = 2, ti = 0.5, Vi = 63.88

- i = 3, ti = 1, Vi = 62.33

We compute the next iterations in MATLAB (see attachment)
Volume @ t = 10 is = 20.2969
The droplet radius at t=10 mins

The average change of droplet radius with time is:
Δr/Δt = 
The value of the evaporation rate is close the value of k = 0.08 mm/min
Hence, the results are accurate and consistent!
Not sure if this is correct but:
Step-by-step explanation: P = 2000
R = 5% = 0.05
n = 4
y = 2000 ( 1 +
)
= 2000 ( 1.0125 )
Substitute values in the compound interest formula:
y = P ( 1 +
)
.
Hope this helps..
Answer:
600 ft cubed
Step-by-step explanation:
Triangle volume formula V = 1/2(l*w*h)
1/2(4*12*9) = 216 ft cubed
Formula for rectangular prism V = (l*w*h)
(4*16*6) = 384 ft cubed
Adding the values: 600 ft
Answer:

Step-by-step explanation:
exponential function : 
where a = y intercept and b = factor ( what you multiply by )
looking at the table the y intercept is at (0,10) so a = 10
so we now have y = 10 * (b)^x
to find the factor we simply plug in one of the ordered pairs.
note that the ordered pair chosen does not effect the outcome
i chose (2,250)
we have y = 10 * (b)^x
(x,y) = (2,250)
250 = 10 * (b)^2
divide both sides by 10
25 = b^2
take the square root of both sides
5 = b
the final equation would be f(x) = 10 * (b)^x
Answer:
unknown
Step-by-step explanation:
because you don't know the percentage one gallon takes you cannot be sure how much you need after you get the dimensions and percentage a gallon takes