solve pls: number of club members for maximum revenue
A student club on a college charges monthly membership dues of P10, less 5 centavos for each member over 60. How many members would give the club, the most revenue from the monthly dues?
April 2016
analytic geometry: equation of lines through one point and at a distance from another point
can you help me with this problem; find the equations of the lines through (7, -4) passing at a distance 1 from the point (2, 1)
help: window consist of a rectangle with an equilateral triangle resting on its top
pls help me to solve this problems as well as the solution:
1. a large window consist of a rectangle with an equilateral triangle resting on its top. if the perimeter P of the window is fixed at 33 ft, find the dimension of the triangle that will maximize the area of the window.
2. A student club on a college charges monthly membership dues of P10, less 5 centavos for each member over 60. How many members would give the club, the most revenue from the monthly dues?
Engineering Mechanics: Alternative solution to Tripod made from three wood planks
/reviewer/engineering-mechanics/reaction-planks-tripod-form another way how to solve reaction..
Fifty Thousand Pesos Split into Two Simple Interest Investment
Problem
A man wants to invest a sum of P50,000 in two investments. The first investment earns a rate of interest 4 times that of the second investment. In 3 years the first investment grows to P37,200. For 10 years, the second investment grows to P24,000.
- Find the sum invested in each rate of interest.
A. P35,000 and P15,000
B. P35,500 and P14,500
C. P30,000 and P20,000
D. P32,000 and P18,000
- Find the rate of interest of each.
A. 8% and 2%
B. 6% and 4%
C. 7% and 3%
D. 5% and 1%
Reactions of Tripod Made from Wood Planks
Situation
In the figure shown, each plank carries a uniform load of 100 N/m throughout its length. The supports are on the same plane.
- Find the reaction at A.
A. 900 N
B. 800 N
C. 1400 N
D. 2400 N
- Find the reaction at B.
A. 900 N
B. 800 N
C. 1400 N
D. 2400 N
- Find the reaction at C.
A. 900 N
B. 800 N
C. 1400 N
D. 2400 N
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Support Reactions of a Trapezoidal Slab with Three Points of Support
Situation
A reinforced concrete slab in the shape of an isosceles trapezoid weighs 3600 N/m2. It is supported on the three points as shown in the figure.
- Find the reaction at A.
A. 16,848 N
B. 6,716 N
C. 13,372 N
D. 2,010 N - Find the reaction at B.
A. 16,848 N
B. 6,716 N
C. 13,372 N
D. 2,010 N - Find the reaction at C.
A. 16,848 N
B. 6,716 N
C. 13,372 N
D. 2,010 N
Trapezoidal gutter made from 24 m wide iron sheet
A gutter whose cross-section is trapezoidal is to be made of galvanized iron sheet of 24 m wide. If its carrying capacity is maximum, find the dimension of the base.
A. 4 m
B. 6 m
C. 8 m
D. 10 m
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Equation of the Locus of a Moving Point
Definition of a Locus
Locus is a Latin word which means "place". In mathematics, locus is the set of points that satisfies the same geometrical properties. In most cases, the relationship of these points is defined according to their position in rectangular coordinates.
Example 1
Determine the equation of the curve such that the sum of the distances of any point of the curve from two points whose coordinates are (-3, 0) and (3, 0) is always equal to 8.
A. 4x2 + 49y2 - 343 = 0
B. 7x2 + 16y2 - 112 = 0
C. 7x2 - 16y2 + 112 = 0
D. 4x2 - 49y2 + 343 = 0
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help: graph of x^(3/2) + y^(3/2) = 4^(3/2)
can anyone help me how to graph this equation
x^(3/2) + y^(3/2) = 4^(3/2)
thanks for those who will response
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