IDNLearn.com offers a unique blend of expert answers and community-driven knowledge. Get prompt and accurate answers to your questions from our community of experts who are always ready to help.
Sagot :
Answer:
140.71
Step-by-step explanation:
WEEK 1- 100
WEEK 2- 105
WEEK 3-110.25
WEEK 4-115.7625
WEEK 5-121.550625
WEEK 6-127.62815625
WEEK 7-134.009564063
WEEK 8-140.710042266
By using an exponential equation, we will see that in the first 8 weeks she makes $954.90.
How much will she make in 8 weeks?
We know that the first week she makes $100, and for each week after that, she makes an extra 5%.
Then, the second week she makes:
W(2) = $100*(1 + 5%/100%) = $100*(1.05)
The third week she makes:
W(3) = $100*(1.05)*(1 + 5%/100%) = $100*(1.05)^2
We already can see the exponential pattern, for the N-th week, the salary will be:
W(N) = $100*(1.05)^(N - 1)
Then what she wins in the first 8 weeks is:
- W(1) = $100
- W(2) = $100*1.05 = $105
- W(3) = $100*(1.05)^2 = $110.25
- W(4) = $100*(1.05)^3 = $115.75
- W(5) = $100*(1.05)^4 = $121.55
- W(6) = $100*(1.05)^5 = $127.63
- W(7) = $100*(1.05)^6 = $134.01
- W(8) = $100*(1.05)^7 = $140.71
Now we just need to add these 8 values, we will see that the total money that she makes in these 8 weeks is:
M = $954.90
If you want to learn more about exponentials, you can read:
https://brainly.com/question/11464095
Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Your search for answers ends at IDNLearn.com. Thanks for visiting, and we look forward to helping you again soon.