He has been withdrawing money for 69 days.
Step-by-step explanation:
Amount of credit card = $5000
Let,
x be the number of days
Amount after withdrawing $45 each day for x days = $1895
Amount left = Total amount - Withdrawal amount per day * number of days
1895 = 5000 - 45*x
[tex]1895=5000-45x[/tex]
Solving for x;
[tex]1895-5000=-45x\\-3105=-45x\\-45x=-3105[/tex]
Dividing both sides by -45
[tex]\frac{-45x}{-45}=\frac{-3105}{-45}\\x=69[/tex]
He has been withdrawing money for 69 days.
Keywords: subtraction, division
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