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Question 912626: Huda opened a bank account with $30.00 and deposited $25.00 every month. After several months, she had a total of $180 in her account. For how many months did Huda save?
I know it's summation notation but the answer I am coming up with is not right and seems off. I thought it should be sigma and above it x and below it n=1 and then next to it 30(25)^n-1 so then the equation would be 30(1-25^x/1-25)=180 but I keep getting 1.546 and I know that is not right because it is not one of the options. Please help? thanks!
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Let x = number of months Huda saved
She starts with $30 and adds $25 each month. I'm assuming she deposits $25 each time. So for x months, she'll add on 25x dollars.
Total Saved Over x Months: 30 + 25x
This is set equal to 180 because "After several months, she had a total of $180 in her account"
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30 + 25x = 180
25x = 180 - 30
25x = 150
x = 150/25
x = 6
She has saved for 6 months
Let me know if you need more help or if you need me to explain a step in more detail.
Feel free to email me at jim_thompson5910@hotmail.com
or you can visit my website here: http://www.freewebs.com/jimthompson5910/home.html
Thanks,
Jim
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