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Nicole Nelson has come into an inheritance from her grandparents. She is attempting to decide among several investment alternatives. The return after one year is dependent primarily on the interest rate during the next year. The rate is currently 7%, and she anticipates it will stay the same or go up or down by at most 2 points. The various investment alternatives plus their returns ($10,000s) given the interest rate changes are shown in the following table. Interest Rates Investments 5% 6% 7% 8% 9% Money market fund 1.7 2.8 3.0 3.6 4.5 Stock growth fund -5 -3 3.5 5 7.5 Bond fund 5 4 3.5 3 2 Government fund 4 3.6 3.2 2.8 2.1 Risk fund -12 -7 4.2 9.3 16.7 Savings bonds 3 3 3.2 3.4 3.5


A particle moves along the x-axis according to the expression x=3t² - 2t where x is in m and t is in s. What is the displacement of the particle in time intervals t=0 to t=1s and t=1s to t=4s


12) A heat engine operates between a source at 550°C and a sink at 25°C. If heat is supplied

tothe heat engine at a steady rate of 1200 kJ/min, determine the maximum power output

of this heat engine.


A piece of iron placed on a block of wood makes it float lower in the water, If the iron were instead suspended beneath the wood, would it float as low, lower, or higher? Defend your answer.

Create a program generate the Fibonacci Sequence and compute for the

corresponding sum based on the generated sequences.

Sample output:

Enter how many: 5

Fibonacci Sequence: 1 1 2 3 5

Sum of Sequence: 12


Create a program that will implement a method Factorial and return a double

number based on any supplied argument.


Create a program that will implement methods such as Min (int n1, int n2, int n3)

and Max (int x1, int x2, int x3). The two (2) methods must return an integer smallest (Min)

and integer largest (Max) based on any supplied arguments upon calling.


 1.A truck and an ambulance move at the same rate of 13 m/s toward each other but on different lanes. If the ambulance siren emits sound of frequency 1200 Hz, what is the frequency of the sound that the truck driver hears?


2. The police car is moving toward a warehouse at 30 m/s. If the police car is emitting a 1kHz sound, what frequency does the driver hear reflected from the warehouse? Assume that the speed of sound is 340 m/s.


3. What is the frequency heard by a person driving at 15 m/s toward a factory whistle that is blowing at a frequency of 800 Hz? Assume that the speed of sound is 340 m/s


1. A police car’s siren emits a sinusoidal wave with frequency of 300 Hz. The speed of sound is 340 m/s and the air is still.

a.) If a listener is at rest and the siren is moving away at 30 m/s, what frequency does the listener hear?

b.) If the siren is at rest and the listener is moving away from it at 30 m/s, what frequency does the listener hear?

2. The siren is moving away from the listener with a speed of 45 m/s relative to the air, and the listener is moving toward the siren with a speed of 15 m/s relative to the air. If the siren is emitting a 1kHz sound, what frequency does the listener hear?


A production plant has nine departments and the present layout is shown in the following figure. A D G B E H C F I




The movement of materials between the departments is shown in the load summary table below. To From B F I A 90 D 180 200 E 90 270 H 630 Obtain a good layout considering the unit costs of movement is Rs.10 per unit distance per load for all movements.

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