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 totalling $6,873.22, wrote checks totalling 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 totalling $6,873.22, wrote checks totalling 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 - calculation equation

The initial balance plus deposits plus interest minus checks written minus maintenance fee equals the final balance. Let the initial balance $I = 5195.65$, deposits $D=6873.22$, maintenance fee $M = 15$, interest $r = 6.05$, final balance $F=4200$, and the amount of checks written $c$. The equation is $I + D+r - c - M=F$.

Step2: Rearrange the equation to solve for $c$

$c=I + D+r - M - F$.

Step3: Substitute the values into the equation

$c = 5195.65+6873.22 + 6.05-15 - 4200$. First, add the initial balance, deposits, and interest: $5195.65+6873.22+6.05=12074.92$. Then subtract the maintenance - fee and the final balance: $12074.92-15 - 4200=7859.92$.

Answer:

$7,859.92$