They should try to take free online school classes
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}
Answer:
Present value = FV / (1 + r)^t
1. PV = $19,415 / (1 + 0.07)^15
PV = $19,415 / (1.07)^15
PV = $19,415 / 2.759031
PV = $7,036.89
2. PV = $47,382 / (1 + 0.11)^8
PV = $47,382 / (1.11)^8
PV = $47,382 / 2.3045378
PV = $20,560.31
3. PV = $312,176 / (1 + 0.10)^13
PV = $312,176 / (1.10)^13
PV = $312,176 / 3.4522712
PV = $90,426.27
4. PV = $629,381 / (1 + 0.13)^25
PV = $629,381 / (1.13)^25
PV = $629,381 / 21.230542
PV = $29,645.07
<span>A benefit that is sought by an interest group and that once achieved cannot be denied to nonmembers is called a free rider. The free rider problem is created from market failure because people take advantage of being able to use common resources or collective goods without being able to pay for </span>them.
