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Jim currently has​ $1,250 in his bank account and Sally has​ $1,400 in her bank account. Jim deposits​ $27.50 per week and Sally deposits​ $20 per week into her account. After how many weeks will they have the same amount of​ money? Jim and Sally will have the same amount of money after nothing ​week(s). ​(Type an integer or a​ decimal.)

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xero099

Answer:

20 weeks.

Step-by-step explanation:

The equations of money deposits of each bankholder as a function of time are, respectively:

Jim

[tex]p_{1} = 1250 + 27.50\cdot t\\[/tex]

Sally

[tex]p_{2} = 1400 +20\cdot t[/tex]

The number of weeks so that both have the same amount of money is:

[tex]1250 + 27.50\cdot t = 1400 + 20\cdot t[/tex]

[tex]7.50\cdot t = 150[/tex]

[tex]t = 20[/tex]

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