8. A car manufacturer determines that its profit, P, in thousands of pesos, can be modeled by the function P(x) = 0.00125x + x - sold. What is the profit when x = 300? a. Php 101.25 b. Php 3,000,000.00 - 3, where x represents the number of cars %3D c. Php 1,039,500.00 d. Php 10,125,297.00

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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8. A car manufacturer determines that its profit, P, in thousands of pesos, can be
modeled by the function P(x) = 0.00125x + x – 3, where x represents the number of co
sold. What is the profit when x = 300?
а. Php 101.25
b. Php 3,000,000.00
c. Php 1,039,500.00
d. Php 10,125,297.00
9. A demographer predicts that the population, P, of a town t years from now can be
modeled by the function P(t) = 6t4 – 513 + 200t + 12 000. What will the population of the town
be two (2) years from now?
a. 12 456
b. 124 560
c. 1 245 600
d. 12 456 000
The top view of a circular table shown on the
right has a radius of 120 cm. Find the area of
the smaller segment of the table (shaded
region) determined by a 60° arc.
A. (24007 - 3600/3) cm?
B. 3600 /3 cm?
C. 24007 cm²
120 cm
D. (14 4007 - 3600/3) cm?
11. Mr. Soriano wanted to plant three different colors of roses on the outer
rim of a circular garden. He stretched two strings from a point external
to the circle to see how the circular rim can be divided into three
portions as shown in the figure below.
192°
M 20°
What is the measure of minor arc AB?
A. 64°
В. 104°
С. 168°
D. 192°
12.
Which of the following represents the distance d between the two
points (x, y,) and (x,,Y2)?
A. d=(x, + x,}* +(y, +y,}° c. d=x,-x,} +(%,-y,}°
c. d= (x,-x,)° +(y;-y,)
%3D
|
B. d= (x, + x,)° -(y, +y,} D. d=x, - x,) -(r:-y.'
B. d = (x, + x,)° -(y, +y,} D. d =.
d=(x, -x,}' -(y; - y,}
%3D
Transcribed Image Text:8. A car manufacturer determines that its profit, P, in thousands of pesos, can be modeled by the function P(x) = 0.00125x + x – 3, where x represents the number of co sold. What is the profit when x = 300? а. Php 101.25 b. Php 3,000,000.00 c. Php 1,039,500.00 d. Php 10,125,297.00 9. A demographer predicts that the population, P, of a town t years from now can be modeled by the function P(t) = 6t4 – 513 + 200t + 12 000. What will the population of the town be two (2) years from now? a. 12 456 b. 124 560 c. 1 245 600 d. 12 456 000 The top view of a circular table shown on the right has a radius of 120 cm. Find the area of the smaller segment of the table (shaded region) determined by a 60° arc. A. (24007 - 3600/3) cm? B. 3600 /3 cm? C. 24007 cm² 120 cm D. (14 4007 - 3600/3) cm? 11. Mr. Soriano wanted to plant three different colors of roses on the outer rim of a circular garden. He stretched two strings from a point external to the circle to see how the circular rim can be divided into three portions as shown in the figure below. 192° M 20° What is the measure of minor arc AB? A. 64° В. 104° С. 168° D. 192° 12. Which of the following represents the distance d between the two points (x, y,) and (x,,Y2)? A. d=(x, + x,}* +(y, +y,}° c. d=x,-x,} +(%,-y,}° c. d= (x,-x,)° +(y;-y,) %3D | B. d= (x, + x,)° -(y, +y,} D. d=x, - x,) -(r:-y.' B. d = (x, + x,)° -(y, +y,} D. d =. d=(x, -x,}' -(y; - y,} %3D
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