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5. Consider the demand and supply functions for the notebooks market.
đđˇ=10,000â100đ đđ=900đ
a. Make a table with the corresponding supply and demand schedule.
b. Draw the corresponding graph.
c. Is it possible to find the price and quantity of equilibrium with the graph method?
d. Find the price and quantity of equilibrium by solving the system of equations.
A point particle is projected from the top of a hill 5m above sea level. It is projected with initial horizontal speed of 2m/s.
a. How far from the foot of the hill does it land?
b. How long does it take to hit the ground?
c. With what speed does it hit the ground?
d. With what velocity does it hit the ground?
The driver of a car travelling at 2m/s hits the brakes which provides a steady deceleration of 3m/s2 , how far does the vehicle travel before coming to rest?
A stone is thrown into a well 6m deep. The stone is thrown from rest. How
long will it take before you hear the stone hit the floor of the well. Assume
speed of sound is 2m/s (this is not the actual speed of sound, please!!)?
Create a program using C# that implements the stream ciphers Cryptographic method . A stream cipher method inputs digits, bits, or characters and encrypts the stream of data. The onetime pad is an example of a stream cipher.
In this formative you have been requested to create an application that will work as the One-time pad (OTP), also called Vernam-cipher or the perfect cipher. This is a crypto algorithm where plaintext is combined with a random key and generate a ciphertext.
Marks allocationÂ
1. The programme should received a string " How are you Isaac " - 10
2. The programme should generate an OTP of the length of the string entered "How are you Isaac "- 10
3. The program should Generate a Ciphertext based on the above example- 30
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A car is preceding down a 1 in 10 incline at 65KPH when it's brake are abruptly applied. How far does it skid along the road before stopping if the wheels lock and the coefficient of friction between the tyres and the road is 0.7 ?
A stone is thrown into the air with initial speed of 3m/s from the ground.
What time does it hit the ground? (Neglect air resistance)
A student will receive P3,000 at the beginning of each 3 months for 4 years. What is the sum of this annuity at the end of the 4th year if the interest rate is 6% compounded quarterly?
Ans. 54,604.07
7.) A businessman is faced with the prospect of fluctuating future budget for the maintenance of the generator. During the first 5 years, P1,000 per year will be budgeted. During the second five years, the annual budget will be P1,500 per year. In addition, P3,500 will be budgeted for an overhaul of the machine at the end of the fourth year and another P3,500 for an overhaul at the end of 8th year. Assuming compound interest at 6% per annum, what is the equivalent annual cost of maintenance?
Ans. P1,888.87
5.) A man deposits P500 at the end of each year and expected to have an amount of P2,769.84 at the end of 5 years.
1. What is the nominal rate of interest if it is compounded annually?
2. What is the nominal rate of interest if it is compounded continuously?
3. Compute the equivalent compound amount factor if it is compounded continuously
Ans. 1. 5.127% 2. 5% 3. 5.3968
#339914 on Dec 2023