Simplifying
(2a + 5)(3a + -4) = 0
Reorder the terms:
(5 + 2a)(3a + -4) = 0
Reorder the terms:
(5 + 2a)(-4 + 3a) = 0
Multiply (5 + 2a) * (-4 + 3a)
(5(-4 + 3a) + 2a * (-4 + 3a)) = 0
((-4 * 5 + 3a * 5) + 2a * (-4 + 3a)) = 0
((-20 + 15a) + 2a * (-4 + 3a)) = 0
(-20 + 15a + (-4 * 2a + 3a * 2a)) = 0
(-20 + 15a + (-8a + 6a2)) = 0
Combine like terms: 15a + -8a = 7a
(-20 + 7a + 6a2) = 0
Solving
-20 + 7a + 6a2 = 0
Solving for variable 'a'.
Factor a trinomial.
(-5 + -2a)(4 + -3a) = 0
Subproblem 1
Set the factor '(-5 + -2a)' equal to zero and attempt to solve:
Simplifying
-5 + -2a = 0
Solving
-5 + -2a = 0
Move all terms containing a to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + -2a = 0 + 5
Combine like terms: -5 + 5 = 0
0 + -2a = 0 + 5
-2a = 0 + 5
Combine like terms: 0 + 5 = 5
-2a = 5
Divide each side by '-2'.
a = -2.5
Simplifying
a = -2.5
Subproblem 2
Set the factor '(4 + -3a)' equal to zero and attempt to solve:
Simplifying
4 + -3a = 0
Solving
4 + -3a = 0
Move all terms containing a to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + -3a = 0 + -4
Combine like terms: 4 + -4 = 0
0 + -3a = 0 + -4
-3a = 0 + -4
Combine like terms: 0 + -4 = -4
-3a = -4
Divide each side by '-3'.
a = 1.333333333
Simplifying
a = 1.333333333
Solution
a = {-2.5, 1.333333333}
a student organization that contributes to the preparation of a world-class workforce through the advancement of leadership, citizenship, academic, and technological skills for students at the Secondary and the Post-Secondary level.
example: DECA or FBLA or FCCLA
The answer to that question is letter D. hope this helps
Answer:
marginal cost is 15 cents
Explanation:
given data
car rent = $29.95
distance d1 = 150 miles
cost = 15 cents per miles
distance d2 = 200 miles
to find out
marginal cost
solution
first we find here cost for driving d2
cost for 150 to 200 miles = 15 × 50
cost for 150 to 200 miles = 750 cents = $7.5
so
cost for driving d2 = $7.5 + $29.95
cost for driving d2 = $37.45
so
marginal cost will be
marginal cost = change in cost / chance in distance
marginal cost = 37.45 - 39.95 / ( 200-150)
marginal cost = 7.5 / 50 = 0.15
marginal cost is 15 cents
Answer:
The expected price after 1 year would be$55.5
Explanation:
According to the given data,
Price of the stock (Po) = $50
Dividend after 1year (D1) = $2
Equity cost of capital (KE) =15%
The formula for calculating the price after 1 year i.e.,(P1 ) is
Po = (D1 + P1 )/ 1+KE $50= ($2 + P1) / (1+0.15)
P1 = [$50(1.15)] - $2 = $55.5