Prudential Realty has an escrow account for one of its property management clients that contains $20,000. How long will it take to deplete the account if the client withdraws $5000 now, $4500 one year from now, and amounts decreasing by $500 each year

It will take 4 years to deplete the account.

Step-by-step explanation:

Prudential Reality has an escrow account that contains $20,000.

The client withdraws $5000 now and that leaves $15000.

After one year an amount of $4500 is withdrawn which leaves ($15000 - $4500)  = $10500

After two years an amount of $4000 is withdrawn which leaves ( $10500 -$4000) = $6500.

After three years an amount of $3500 is withdrawn which leaves ( $6500 - $3500) = $3000

After four years an amount of $3000 is withdrawn which leaves ($3000 - $3000) = $0 in the account.

Hence it will take 4 years to deplete the account.

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: