Since there are no special paameters mentioned to solve the problem, algebra will be employed.
What we have so far: Total debit = $<span>12,200 Total credit = $</span><span>11,500 Total transactions = </span>Total credit - Total debit<span> Final balance = $</span><span>5,000
To solve: Let us use the working equation: Initial Balance = Final Balance + |Total Transactions| Initial Balance = </span>$5,000 + |$11,500 - $12,200| Initial Balance = $5,000 + |-$700| <--- remember that -$700 is an absolute value which makes it positive. Initial Balance = $5,700 <--- What we are looking for.
Checking: Early May: $5,700 Around May : $5,700 - Total Debit (Assumption) Around May : $5,700 - $12,200 = -$6,500 (Assumption) Around May: -$6,500 + Total Credit (Assumption) Around May: -$6,500 + $11,500 = $5,000 (Assumption) 31st of May: $5,000 <--- Proven
∴The answer is: $5,700, the initial balance at the beginning of May.
The graph that represents function h is the graph in; Option C
<h3>How to Interpret Graph Transformations?</h3>
The parent function is; f(x) = tan (x)
The transformed function is; h(x) = -tan(¹/₂x)
Now, from general tangent function we know that; y = tan(Bx)
Thus, period = π/(¹/₂)
From the given transformation that produced the h(x) function and when we look at the given graphs, the one that represents the function h is Option C.