Lisa has entered a check payment of $213.75 in her checkbook. if the old balance was $794, what is her latest balance?

Latest balance = $580.25

Step-by-step explanation:

Lisa has entered a check payment of $213.75 in her check book.

This means a check of $213.75 was presented in her account to debit the amount of $213.75 from her account.

Her old balance was $794 means she was having $794 in her account and $213.75 was debited form her account, therefore balance after this transaction will be = 794 - 213.75 = 580.25

So her latest balance in her account is $580.25.

4.5

Step-by-step explanation:

First we can write 25 as 5^2 to make the bases the same.

So we get

5^2(2x-3)=(5)^2x+3

5^4x-6=5^2x+3

Since the bases are the same, we can set the exponents equal to each other and solve.

4x-6=2x+3

4x=2x+9

2x=9

x=4.5