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The value of a car when new is R224 000,00. It is estimated that the value of the car will decrease at the
rate of 11% per year. Answer the following questions:
a. Determine the exponential function that describes the value of the car y years after it was bought.
b. Determine the value of the car six years after it was bought.
You are a manager at Glass Inc. a mirror and window supplier. Recently, you conducted
a study of the production process for your single-side encapsulated window. The results
from the study are summarized below and are based on the eight units of capital
currently available at your plant. Workers are paid $60 per unit, per unit capital costs
are $20, and your encapsulated windows sell for $12 each. Given this information,
optimize your human resource and production decisions. Do you anticipate earning a
profit or loss? Explain carefully.
Labor Output
0 0
1 10
2 30
3 60
4 80
5 90
6 95
7 95
8 90
9 80
10 60
11 30
PCl3 and CH4 both have a tetrahedral electronic geometry but their molecular geometries are not the same. What is the difference.
A platform diver has a kinetic energy of 12,000 n x m prior to landing in the water bucket. If her mass is 40 kg, what is her final velocity before splash?
A hiker travels 4,5 km in a direction 12 degrees south of west and then 7,2 km in a direction 23 degrees west of south.
Determine the hiker’s overall displacement.
Draw each of the hiker’s individual displacement vectors on the same set of Cartesian axes, so that their initial points coincide at
the origin:
:Determine the components of each of these vectors; then use them to find the resultant/overall displacement:
a 200iC charge flows through conductor. if the p.d between its ends is 40mv, find the work done
Find a counterexample, if possible, to these universally quantified statements, where the domain
for all variables consists of all integers.
a) ∀x (x2 ≥x)
b)∀x(x>0∨x<0) c) ∀x (x = 1)
Phase Diagram for Methane
1. What are the approximate temperature and pressure at the critical
point?
2. What are the approximate temperature and pressure at the triple
point?
3. Is methane a solid, liquid, or gas at 1 atm and 0 ºC?
4. What phase(s) will exist at point 1?
5. If solid methane at 1 atm is heated while the pressure is held
constant, will it melt or sublime?
gas has temp of 47C and pressure of 2.10⁵ pascal. What pressure would gas have after isochoric boiling it to 77C
Based from the phase diagram of water and carbon dioxide, answer the following
questions and justify your answers:
1. You have ice at 263 K (-10.0 °C) and 1.0 atm. What could you do to make
the ice sublime?
2. A sample of dry ice (solid CO2) is cooled to 173 K (-100.0 °C), and is set
on a table at room temperature (298 K; 25 °C). At what temperature is the
rate of sublimation and deposition the same (assume that pressure is held
constant at 1 atm)?
