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A trust fund is planning to invest up to P600,000 in
two type of bonds: A and B. Bond A carries a
dividend of 25% and B, 30%. Suppose the fund rules
state that no more than P400,000 may be invested in
bond B, while at least P150,000 must be invested in
bond A, how much should be invested in each type
of bond to maximize the fund’s return?
Paula rolls a fair number cube with sides labeled through 6. what is the probability of Paula rolling that is 3 or greater
A tank with a horizontal sectional area constant at 10 square meter and 4 m high contains water to a depth of 3.5 m. the tank has a circular orifice 5 cm in diameter and located at its side 0.5 m above the bottom. if the coefficient of discharge of the orifice is 0.60, find the duration of flow though the orifice.
m=(m=( -7+(-2 )/2, 3+(-3)/2
m=( -7+(-2 )/2, 3+(-3)/2
Draw the Venn diagrams for each of these combinations of the sets A, B, and C.
A ∩ (B − C)
(A ∩ B) ∪ (A ∩ C)
(A ∩ ) ∪ (A ∩ )
A Store-It-All storage facility requires users to enter a four-digit code, using numbers 0-9, to get through the gate. You need to get a box of winter clothes from your storage container, but you forgot the code.
- How many possible codes are there if the digits cannot be repeated?
There are Answer____ possible codes.
Let A represent the set of all students at a university, and let B represent the set of all courses
offered at the university. What is the Cartesian product A × B and how can it be used?
Find the solution of the following symmetrical simultaneous differential equation dx/1 = -dy/1 = dz/1
A bus can accommodate a maximum of 60 passengers. If 𝑋 denotes the number of male
passengers, what are the possible values of 𝑋?
