Answer:
Image 1: B. Insurance agent
Image 2: A. Credit checker
Image 3: B. assets and liabilities
Image 4: B. Insurance underwriter
Explanation:
Insurance agent actually helps their clients in order to make certain decisions in choosing insurance policies that suits their needs. They give them advice on insurance plans that they can go for in order to insure their lives and properties in case of emergency.
A Credit checker is one of the finance careers that actually requires the lowest level of schooling. The basic requirement is for the individual to possess a high school diploma.
Actually, most careers in finance deal with assets and liabilities. Such career people usually work in certain professional environments such as commercial banking, investment banking, insurance, financial planning, money managing and real state.
Insurance underwriters are known to be professionals who actually evaluate and analyze the risk factors that are involved in insuring people and assets.
Solution. To check whether the vectors are linearly independent, we must answer the following question: if a linear combination of the vectors is the zero vector, is it necessarily true that all the coefficients are zeros?
Suppose that
x 1 ⃗v 1 + x 2 ⃗v 2 + x 3 ( ⃗v 1 + ⃗v 2 + ⃗v 3 ) = ⃗0
(a linear combination of the vectors is the zero vector). Is it necessarily true that x1 =x2 =x3 =0?
We have
x1⃗v1 + x2⃗v2 + x3(⃗v1 + ⃗v2 + ⃗v3) = x1⃗v1 + x2⃗v2 + x3⃗v1 + x3⃗v2 + x3⃗v3
=(x1 + x3)⃗v1 + (x2 + x3)⃗v2 + x3⃗v3 = ⃗0.
Since ⃗v1, ⃗v2, and ⃗v3 are linearly independent, we must have the coeffi-
cients of the linear combination equal to 0, that is, we must have
x1 + x3 = 0 x2 + x3 = 0 ,
x3 = 0
from which it follows that we must have x1 = x2 = x3 = 0. Hence the
vectors ⃗v1, ⃗v2, and ⃗v1 + ⃗v2 + ⃗v3 are linearly independent.
Answer. The vectors ⃗v1, ⃗v2, and ⃗v1 + ⃗v2 + ⃗v3 are linearly independent.
Ok happy to help any time
The answer lies in China’s five-year plans. Inspired by the Soviets, the Chinese focused on heavy industry and slowly developed their economy. With each subsequent five-year plan, the government improved the country’s industrial and service output and liberalized the economy.
