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Sherman Peabody earns a monthly salary of $1,500, which he receives at the beginning of each month. He spends the entire amount each month at the rate of $50 per day. (Assume 30 days in a month.) The interest rate paid on bonds is 10 percent per month. It costs $4 every time Peabody sells a bond.
a. Describe briefly how Mr. Peabody should decide how much money to hold.
b. Calculate Peabody's optimal money holdings. (Hint: It may help to formulate a table such as Table 11B.1 in this Appendix. You can round to the nearest $0.50, and you need to consider only average money holdings of more than $100.)
c. Suppose the interest rate rises to 15 percent. Find Peabody's optimal money holdings at this new interest rate. What will happen if the interest rate increases to 20 percent?
d. Graph your answers to b. and c. with the interest rate on the vertical axis and the amount of money demanded on the horizontal axis. Explain why your graph slopes downward.
Suppose a DC power source with a voltage of 50 volts is connected to a 10-ohm load. How much power will this load dissipate. Now suppose the same 10 ? load is connected to a sinusoidal AC power source with a peak voltage of 50 volts.
Determine the first four values of the modulation index β for which the carrier component is reduced to zero and determine the approximate bandwidth of the FM signal
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Given a simple series circuit similar to that shown in the given image, determine the load voltage if the source voltage is VS= 1200°V, the load current is IL= 10-30°A, and the cable impedance is ZC= 0.5
A 1GW synchronous generator is connected to an infinite bus through a transmission line. The synchronous reactance of the generator is 9Ω and the inductive reactance of the transmission line is 3Ω.
In the United States, the incomes of specialists such as heart surgeons can easily triple the incomes of primary care practitioners. Use the five forces to offer explanations for this disparity. Can you think of any other possible explanations?
Use the initial and final value theorems to find the initial and final value of the time function corresponding to the following Laplace transform X(s) = x/(s+1)(s+4)
If the voltage across a capacitor is a square wave, predict the resulting current waveform (draw the voltage and current waveforms). Repeat the process when the voltage across the capacitor is a sine wave.
A parking garage charges a $ 5.00 minimum fee to park for up to three hours and an additional $ 1.00 per hour for each hour over the hours. the maximum charge for any given 24 hours period is $ 2.00.
Assume that you are building a three-stage amplifier. When you test it, you discover that it is producing an output signal with no input signal. Explain how this is possible. What are some of the things you can do to eliminate the unwanted signal?
If fuel consumption is 6.74 L/100km and there are 4 passengers in the car, what is the fuel consumption per person.
Assume that the channels between the transmit antenna and the receive antennas are statistically independent Rayleigh fading channels and the MRC combination is used at the receiver. Given that the system BER is 10^-2 when the mean SNR is 3dB.
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