hkmiu
  • hkmiu
Rita has deposited $1000 in a bank account. At the end of each year, the bank posts interest to her account in the amount of 5% of the balance, but then takes out a $10 annual fee. would I write it as... bn = 1.05bn - 10 or bn = 1.05b(n-1) - 10 the n is subscript
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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hkmiu
  • hkmiu
\[b _{n} = 1.05b _{n-1} - 10 \] or \[b _{n} = 1.05b _{n} - 10 \]
ganeshie8
  • ganeshie8
lets label them, \(b_n = \) end of year balance \(b_{n-1} = \) start of year balance
ganeshie8
  • ganeshie8
then, \(\large b_n = 1.05b_{n-1} - 10\) is \(\large \color{red}{\checkmark}\)

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hkmiu
  • hkmiu
Whooooo, so I got it write. I'm double checking :P
ganeshie8
  • ganeshie8
also notice that, here initial deposit amount \(\large b_0 = 1000\)
ganeshie8
  • ganeshie8
yes ! good work :)
hkmiu
  • hkmiu
right***********
ganeshie8
  • ganeshie8
using ur formula, after 1 year, the balance wud be, \(\large b_1 = 1.05b_{1-1} - 10\) \(\large b_1 = 1.05b_{0} - 10\) \(\large b_1 = 1.05 \times 1000- 10\) \(\large b_1 = 1040\)
ganeshie8
  • ganeshie8
which seems correct, so your formula is correct too :)
ganeshie8
  • ganeshie8
we can also write the formula like this :- \(\large b_1 = 1000 \) \(\large b_{n+1} = 1.05b_n - 10\)
ganeshie8
  • ganeshie8
i like the above one better, cuz i like the sequence to start wid \(\large b_1\) but your sequence starts wid \(\large b_0\)
hkmiu
  • hkmiu
It actually starts with Bn !
hkmiu
  • hkmiu
Thanks for your help today! I got a 100 on my last few quizzes :). @ganeshie8
ganeshie8
  • ganeshie8
wow ok then you're right :) thats amazing congrats !!!!!!
hkmiu
  • hkmiu
its 4AM, I'm going to sleep. Thanks again :).
ganeshie8
  • ganeshie8
omg ! i bet you deserve some good sleep ! goonight, have horrible math dreams :)
hkmiu
  • hkmiu
Hahahahaa nice oneeee :))))). Bye bye!

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