Harmony earns 42,000 salary in the first year of her career. Each year, she gets a 4% raise. Which expression gives the total amount Harmony has earned in her first n years of her career?

Answer :

Answer:

[tex]42000[1+(1.04)^{1}+(1.04)^{2} +(1.04)^{3} + ....... + (1.04)^{n-1}  ][/tex]

Step-by-step explanation:

Harmony earns 42000 salaries in the first year of her career and each year she gets a 4% rise in her income.

Therefore, in the second year she will get [tex]42000[1+\frac{4}{100} ]^{1} = 42000[1.04][/tex].

In the third year she will earn [tex]42000[1.04]^{2}[/tex]

In the fourth year she will earn [tex]42000[1.04]^{3}[/tex]

In this manner she will earn a total of  

[tex]42000[1+(1.04)^{1}+(1.04)^{2} +(1.04)^{3} + ....... + (1.04)^{n-1}  ][/tex] in her forst n years of her career. (Answer)

Answer:

42000(1-1.04^n/-0,04)

Step-by-step explanation:

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