Problem involving a system of equations

AI Thread Summary
The discussion centers on a problem involving the future value of a $1000 deposit in a savings account with a 3.2% annual interest rate compounded monthly. Participants emphasize the necessity of using a homework template and making an initial attempt at solving the problem before receiving assistance. There is a note that an image related to the problem is not visible, which hinders the discussion. Ultimately, the thread was closed due to the lack of a solution attempt and proper formatting. Proper engagement with the homework guidelines is crucial for receiving help.
mimi88
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Homework Statement


If an amount of $1000 is deposited in a savings account that pays 3.2% interest per year compounded monthly, the amount in the account after nmonths is given by:

nth_term_sequence3.png


The amount in the account after 2 years (rounded to one decimal point) will be??
 
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Two comments:

(1) We can't see the image you posted.

(2) You need to use the homework template and make an effort to solve the problem on your own before we can help.
 
mimi88 said:

Homework Statement


If an amount of $1000 is deposited in a savings account that pays 3.2% interest per year compounded monthly, the amount in the account after nmonths is given by:
nth_term_sequence3.png


The amount in the account after 2 years (rounded to one decimal point) will be??
The Homework template looks the following.

Homework Statement



Homework Equations



The Attempt at a Solution



.
 
Thread closed due to no attempt shown and template not used.
 
I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks
Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
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