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The table shows the balances of two bank accounts for 3 months. In what month will the balance of Account A be equal to the balance of
Account B?
$350
Month Account A Account B
0
$50
1 $85
$365
2 $120
$380
Month

Respuesta :

VERIFIEDNOT

Answer:

$1,126.37

Step-by-step Explanation:

Given:

Account balance for:

Month 1 = $1285.12

Month 2 = $961.36

Month 3 = $1132.63

Required:

Average balance of account

SOLUTION:

Average balance of account = sum of account balance for the 3 months ÷ 3

The month in which the balance of Account A is become equal to the balance of Account B is 15th months.

How to find unknown values?

Unknown variables are used to find the unknown values of the problem using the algebraic expressions.

The table shows the balances of two bank accounts for 3 months.

  • Month Account A Account B
  •  0          $50            $350
  •  1           $85            $365
  •  2          $120           $380

The amount in account A is growing with $35 each month. Thus, the amount in this account in nth month is,

[tex]50+35n[/tex]

The amount in account B is just growing with $15. Thus, the amount in this account in nth month is,

[tex]50+15n[/tex]

Let the balance of Account A be equal to the balance of Account B iin n month. Thus,

[tex]50+35n=350+15n\\35n-15n=350-50\\20n=300\\n=\dfrac{300}{20}\\n=15[/tex]

Thus, the month in which the balance of Account A is become equal to the balance of Account B is 15th months.

Learn more about the unknown variable here;

https://brainly.com/question/1235185

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