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Lemuel bought bottles of food supplements at Php 1 800 each. He is planning to sell this at 15% markup on cost. At this selling price and a fixed cost of Php 40 000, how many bottles of food supplement must he sell to be able to breakeven? If he wants to earn a minimum of Php 100 000 by just selling these bottles, how many bottles must he sell?
Given the population 1,3,4,6 and 8. Suppose samples of size 3 are drawn from this population.
How many different samples can be drawn from this population?
A fair spinner has 9 equal sections: 3 red, 2 blue and 4 green.
It is spun twice.
What is the probability of not getting two consecutive blues?
A freezer has a coefficient of performance of 2.40. The freezer is to convert 1.80 kg of water at
25.0°C to 1.80 kg of ice at -5.0°C in one hour. (a) What amount of heat must be removed from the
water at 25.0°C to convert it to ice at -5.0°C (b) How much electrical energy is consumed by the
freezer during this hour? (c) How much wasted heat is delivered to the room in which the freezer
sits?
The rate of increase of the population of bateria in a culture is proportional to the number of bacteria at any given instant. Assume the initial count of bacteria is 1000 and after 1 hour the amount is 1200. Find (i) the number of bacteria present immediately after 5 hours. (iii) the time lapse before the number reaches 4000
the mass of a typical car is m= 1000 kg, so its weight on earths surface is mg=9800N. suppose you have two containers, one with N electrons and another with N protons. these two containers are placed a distance 10m apart, and the electric force between them is equal to the weight of the car. Find N
Calculate the time for an atomic system for which that system can have the excitation energy for
the spectral line of width 10-4Å at wavelength 6000Å.
Find the maximum value of z=6x−3x2 +2y
subject to the constraint
y − x2 = 2
Consider a particle moving along the x-axis where x(t) is the position of the
particle at time t, x′(t) is its velocity, and x
′′(t) is its acceleration.
If x(t) = t3
− 6t2 + 9t − 2, 0 ≤ t ≤ 5
(a) Find the velocity and acceleration of the particle. (b) Find the open
t-
intervals on which the particle is moving to the right. (c) Find the velocity of
the particle when the acceleration is 0
Find the angle of the largest right circular cone which can be inscribed in a sphere of
radius 9 inches.
#339914 on Dec 2023