Pregunta
Madyson borrows
from her father to purchase airplane tickets. The first week after borrowing the money,
Madyson repays her father
. Each week after that, she is able to repay her father
more than the previous week,
except in the last week, when she finishes repaying the loan. How much is Madyson’s final payment?
Madyson repays her father
except in the last week, when she finishes repaying the loan. How much is Madyson’s final payment?
Ask by Chan Bush. in the United States
Jan 21,2025
Solución de inteligencia artificial de Upstudy
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Madyson’s final payment is $82.
Solución

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Como
Bonus Knowledge
Let’s break down Madyson’s repayment schedule systematically. She starts by repaying her father $50 in the first week. Each subsequent week, she pays $2 more than the previous week.
So, her payments for the first few weeks will be:
- Week 1: $50
- Week 2: $52
- Week 3: $54
- Week 4: $56
- Week 5: $58
- Week 6: $60
- Week 7: $62
- Week 8: $64
- Week 9: $66
- Week 10: $68
- Week 11: $70
- Week 12: $72
- Week 13: $74
- Week 14: $76
- Week 15: $78
- Week 16: $80
- Week 17: $82
- Week 18: $84
- Week 19: $86
- Week 20: $88
Now, we need to find the week when the total of these payments equals $1,200. Adding them week by week until we reach $1,200 reveals that the last payment in the series is $88, which closes out her balance with a total of $1,200.
Thus, Madyson’s final payment is $88.
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