Nationwide Communications offers its customers a monthly plan for text messaging. Customers under this plan pay a flat rate of $5.00 each month for up to 200 text messages. For each additional text message over 200 (up to 2000 messages), the customer will pay $0.10. For each message over 2000 messages, the customer will pay $0.20. Complete the piecewise function that can be used to calculate the monthly billing amount, B, for a monthly level of t text messages. Note: Use the letter t as your variable.

B(t) =

if 0 ≤ t ≤ 200
if 200 < t ≤ 2000
if t > 2000