note: please make sure to properly format your answers. all dollar figures in the answers need to include…

note: please make sure to properly format your answers. all dollar figures in the answers need to include the dollar sign and any amount over 1,000 should include the comma ($2,354.67). all percentage values in the answers need to include a percentage sign (%). for all items without specific rounding instructions, round your answers to two decimal places, show both decimal places (5.06). anna has an online checking account at garden city bank. her balance at the beginning of february was $5,195.65. during the month, she made deposits totaling $6,873.22, wrote checks totaling c dollars, was charged a maintenance fee of $15, and earned $6.05 in interest. her balance at the end of the month was $4,200.00. what is the value of c?

note: please make sure to properly format your answers. all dollar figures in the answers need to include the dollar sign and any amount over 1,000 should include the comma ($2,354.67). all percentage values in the answers need to include a percentage sign (%). for all items without specific rounding instructions, round your answers to two decimal places, show both decimal places (5.06). anna has an online checking account at garden city bank. her balance at the beginning of february was $5,195.65. during the month, she made deposits totaling $6,873.22, wrote checks totaling c dollars, was charged a maintenance fee of $15, and earned $6.05 in interest. her balance at the end of the month was $4,200.00. what is the value of c?

Answer

Explanation:

Step1: Set up the balance - equation

The initial balance plus deposits plus interest minus checks minus maintenance fee equals the final balance. Let the amount of checks be $c$. The initial balance is $5195.65$, deposits are $6873.22$, interest is $6.05$, maintenance fee is $15$, and final balance is $4200$. So the equation is $5195.65 + 6873.22+6.05 - c-15=4200$.

Step2: Simplify the left - hand side of the equation

First, add the initial balance, deposits, and interest: $5195.65 + 6873.22+6.05=12074.92$. Then the equation becomes $12074.92 - c-15 = 4200$. Combine the non - $c$ terms on the left - hand side: $12074.92-15=12059.92$. So the equation is $12059.92 - c=4200$.

Step3: Solve for $c$

Add $c$ to both sides of the equation: $12059.92=4200 + c$. Then subtract $4200$ from both sides: $c = 12059.92-4200$.

Step4: Calculate the value of $c$

$c=7859.92$

Answer:

$7859.92$