Answer:
Volume of triangular prism = 126 cm³
Step-by-step explanation:
Given:
Base of side triangle = 6.3 cm
Height of triangular prism = 4 cm
Length of side = 10 cm
Find:
Volume of triangular prism
Computation:
Volume of triangular prism = Area of triangular cross section x Length of side
Volume of triangular prism = (1/2)(b)(h) x Length of side
Volume of triangular prism = (1/2)(6.3)(4) x 10
Volume of triangular prism = (6.3)(2) x 10
Volume of triangular prism = 12.6 x 10
Volume of triangular prism = 126 cm³
The distance is given by:
Let 
be the most the manager can pay the suppliers.
Then, we know from the information given in the question that the manager needs a 30% markup based on cost.
Therefore, the guiding equation will be:
because $10 is the most people will pay for a neck warmer.
Thus, the above equation will become:
Thus, the most a manager can pay the suppliers for neck warmers and still keep the selling price at $10 is $7.69
Answer:
5x² - 10x - 15 = 0
Step-by-step explanation:
Given that the roots are x = 3 and x = - 1, then the factors are
(x - 3) and (x + 1) and the quadratic is the product of the factors, that is
f(x) = a(x - 3)(x + 1) ← a is a multiplier
Here a = 5, thus
f(x) = 5(x - 3)(x + 1) ← expand factors using FOIL
= 5(x² - 2x - 3) ← distribute parenthesis by 5
= 5x² - 10x - 15
Thus equation is
5x² - 10x - 15 = 0
Past due balance = $87.50
Late fee = 15% of $87.50 = 0.15*87.50 = $13.125
New charges = $75.00
New total = 87.50 + 13.125 + 75 = $175.625
Answer: The new total is $175.63
