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Marcus has a bank account balance of [tex]-\$25[/tex]. He deposits [tex]\$40[/tex], then withdraws [tex]\$15[/tex]. Which equation shows his new balance?

A) [tex]-25 + 40 - 15 = 0[/tex]

B) [tex]-25 + 40 - 15 = 10[/tex]

C) [tex]-25 + 40 - 15 = -10[/tex]

D) [tex]-25 + 40 - 15 = 5[/tex]

Answer :

Marcus starts with an initial balance of [tex]$-\$[/tex]25[tex]$. When he deposits $[/tex]\[tex]$40$[/tex], his balance becomes

[tex]$$-\$25 + \$40.$$[/tex]

After this deposit, he withdraws [tex]$\$[/tex]15[tex]$, so his final balance is calculated by

$[/tex][tex]$-\$[/tex]25 + \[tex]$40 - \$[/tex]15.[tex]$$

We can simplify the expression step by step:

1. First, add $-\$25$ and $\$40$:
$$[/tex]-\[tex]$25 + \$[/tex]40 = \[tex]$15.$[/tex][tex]$
2. Then, subtract $[/tex]\[tex]$15$[/tex] from [tex]$\$[/tex]15[tex]$:
$[/tex][tex]$\$[/tex]15 - \[tex]$15 = \$[/tex]0.[tex]$$

Thus, his new account balance is $\$0$, and the correct equation is

$$[/tex]-25 + 40 - 15 = 0.[tex]$$[/tex]

This matches option A.

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