Question

many bank accounts never go below zero. but some banks will allow a negative balance, at least for a short time, called an overdraft. it means someone has taken out, or drafted, more money than was in the account to begin with. aruns account went into overdraft. to get back to a positive balance, he deposited money at a steady rate of $38.46 per week. after 6 weeks, he had $195.19 in the account. what was the balance when the account went into overdraft?

Explanation:

Step1: Calculate total deposit

The amount deposited per week is $38.46$ and the number of weeks is $6$. The total amount deposited is the product of the amount per - week and the number of weeks. So, the total amount deposited $A_d=38.46\times6$.
$A_d = 38.46\times6=230.76$

Step2: Find the initial negative balance

Let the initial negative balance (when the account went into overdraft) be $x$. After depositing $230.76$, the balance is $195.19$. So, we can set up the equation $x + 230.76=195.19$. Solving for $x$, we get $x=195.19 - 230.76$.
$x=- 35.57$

Answer:

$-35.57$