## Lilmike234 one year ago If your starting salary were 50,000 and you recieved a 4% increase at the end of every year for 15 years, what would be the total amount in dollars, you would have earned over the first 16 years that you would have worked?

1. lilmike234

So my answer would be 11,250?

2. lilmike234

*11,250,000

3. mathstudent55

$$~~~a_1~~~~ +~~~~ a_2~~~+ ~~~~a_3~~~ +~ ... +~~~~~ a_{16}$$ $$50,000 + 52,000 + 54,080 +~ ...+ 90,047.17$$ $$\Large S = a_1\times \dfrac{1 - r^n}{1 - r}$$ where $$a_1$$ = the first term r = the common ratio, and n = the number of terms $$\Large S = 50,000 \times \dfrac{1 - (1.04)^{16}}{1 - 1.04}$$ $$\Large S = 1,091,226.56$$