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A new municipal refuse-collection truck can be purchased for $84,000. Its expected useful life is six years, at which time its market value will be zero. Annual receipts less expenses will be approximately $18,000 per year over the six-year study period. Use the PW method and a MARR of 18% to determine whether this is a good investment.
An RC circuit with a 1-Ω resistor and a 0.000001-F capacitor is driven by a voltage E t sin 100t V. If the
initial capacitor voltage is zero, determine the subsequent resistor and capacitor voltages and the
current.
Situation 1
A 220-volt battery is connected to a series circuit in which the inductance is 0.5 henry and the resistance
is 68 ohms. Determine the current if the initial current is 4 Amperes.
A tank initially contains 100 gal of brine where there is dissolved 20lb of salt. Starting at time t = 0, a
brine containing 3lb of dissolved salt per gallon flows into the tank at the rate of 6gal/min is kept uniform
by stirring and the well-stirred mixture simultaneously flows out of the tank at a slower rate of 3gal/min.
1. How much salt is present at the end of 15 min?
2. How much salt is present after a long time?
A tank initially contains 100 gal of pure water. Starting at time t = 0, a brine containing 6lb of dissolved
salt per gallon flows into the tank at the rate of 8gal/min is kept uniform by stirring and the well-stirred
mixture simultaneously flows out of the tank at a slower rate of 4gal/min.
1. How much salt is in the tank at the end of 20 min?
2. When is there 50 lb of salt in the tank?
In a certain sample, 12% of the original number of radioactive nuclei have undergone disintegration in
a period of 100 years.
1. What percentage of the original radioactive nuclei will remain after 1,000 years?
2. In how many years will only one-fourth of the original number remain?
A certain drug can be traced in the bloodstream for a short amount of time. Given that there is 555g of
drug initially present in the blood stream, how much is there left after 48 hours? The concentration of
the drug depletes by 8mg per second.
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#339914 on Dec 2023