Answer:
The Payback Period from non discounted cash flows is 2 Years and 8 months
Step-by-step explanation:
With an initial outlay of $1,000,000
and Cash inflows for 4 years consecutively of $500,000 + $300,000 + $300,000 + $300,000
Pay back Period = the Period where Initial Outlay minus Cash Inflows equal Zero
= 1,000,000 - 500,000 (yr 1) - 300,000 (yr 2) - 200,000 (2/3 of Year 3) = 0
Pay back Period therefore is equal to 2 years & 8 months.
I think the answer is 7/5.
(a) Let
denote the amount of sugar in the tank at time
. The tank starts with only pure water, so
.
(b) Sugar flows in at a rate of
(0.07 kg/L) * (7 L/min) = 0.49 kg/min = 49/100 kg/min
and flows out at a rate of
(<em>A(t)</em>/1080 kg/L) * (7 L/min) = 7<em>A(t)</em>/1080 kg/min
so that the net rate of change of
is governed by the ODE,

or

Multiply both sides by the integrating factor
to condense the left side into the derivative of a product:


Integrate both sides:


Solve for
:

Given that
, we find

so that the amount of sugar at any time
is

(c) As
, the exponential term converges to 0 and we're left with

or 75.6 kg of sugar.
3wx^2
The third choice is the answer.
Answer :C
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