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:

$1909.83

Step-by-step explanation:

Principal amount = $200

percentage increase every week = 5%

Formula to use

$\sum_{t=0}^{t=7} 200(1+0.05)^t$

First week = 200

second week = 200(1+0.05)^1

                       = 210

third week = 200(1+0.05)^2

                  = 220.5

fourth week = 200(1+0.05)^3

                     = 231.53

five week = 200(1+0.05)^4

                 = 243.10

six week = 200(1+0.05)^5

               = 255.26

seven week = 200(1+0.05)^6

                     = 268.02

eight week = 200(1+0.05)^7

                   = 281.42

Sum of the money in 8th week = 1909.83