Carson was offered a job that paid a salary of $98,000 in its first year. The salary was set to increase by 5% per year every year. If Carson
worked at the job for 22 years, what was the total amount of money
earned over the 22 years, to the nearest whole number?

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this