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:
after 9 years:
FV $15,625.2437
in 14 years:
FV $31,223.0270
last, at the nineteenth year:
FV $55,222.1501
Explanation:
We have to solve for the annuity of 1,200 dollar with a yield of 9% at the proposed times:
C 1,200.00
time 9
rate 0.09
FV $15,625.2437
time = 14
FV $31,223.0270
time = 19
FV $55,222.1501
Globalization affects all lives across the world with the world being completely connected by it. All of the points given here are valid.
Explanation:
Due to a globalized economy we are able to -
-Buy clothes and items from across the world and get them shipped to us. We also are able to buy things made in different parts of the world.
- The communication between the whole world is now clicks away from each other
- The websites we use are created in other countries sometimes.
-The businesses in one's own country are often foreign businesses.
All of these are things that are happening due to globalization as the world has become completely interconnected and interdependent.
Answer: Payment for Knowledge
Explanation:Training is a key aspect for a company's improvement development and success. It is beneficial to both employers and employees of an organization. An employee will become more efficient and productive if he is trained well.
Due to the continuous updates and improvement in the world technology relating to businesses, Most Organisations are willing to pay for training thier employees off the job so to cope up with those changes, improve the working conditions, and enhance their knowledge.
Even though such training are costly,on the long run, they improve efficiency and productivity of employees. Well trained employees show both quantity and quality performance leading to optimal use of time, money and resources.
The company seeking for Zach to learn to manage multiple departments, and proferring to pay his tuition while he earns an mba at stanford university and give him a $20,000-a-year raise once he gets his degree shows that the company is willing to pay for more knowledge as that hopefully will go a long way to improve their productivity when he returns.