Question

Anna took a job that paid $200 the first week. She was guaranteed a raise of 5% each week.

How much money will she make in all over 8 weeks?

Answer 1

 Answer Is $1909.82, Hope That Helped!

Answer 2

Answer: $ 1909.822 ( approx )

Explanation:

Here, Principal amount = $ 200,

The rate per period (week) = 5 %

Let us take the years after first year,

Thus, time = 0 to 7 years ( We estimate the time after first year )

Hence, the total sum of the amount from first year to eighth year,

`S = \sum_(t=0)^(t=7) 200(1+(5)/(100))^t`

`= \sum_(t=0)^(t=7) 200(1+0.05)^t`

`= \sum_(t=0)^(t=7) 200(1.05)^t`

`=200(1.05)^0+200(1.05)^1+200(1.05)^2+200(1.05)^3+200(1.05)^4+200(1.05)^5+200(1.05)^6+200(1.05)^7`

`=200+210+220.5+231.525+243.10125+255.2563125+268.019128125+281.420084531`

`=1909.82177516\approx 1909.822`

Therefore, she has approximately 1909.822 dollars after 8 weeks.