Question

A hospital sends an invoice to a patient. The patient schedules a payment plan in which she makes an initial payment of $1,451 the first month and then pays one-third of the previous month’s payment each of the following months until the invoice is paid in full. Approximately how much of the invoice will be paid after the fourth month?

Answer 1

1st month 1451
2nd 1/3*1451 = 483.66
3rd 1/3*483.66 = 161.22
4th 1/3*161.22 = 53.74

Total paid after 4th month: 2149.62

Answer 2

Answer: The invoice will be paid after the fourth month is $2149.63.

Step-by-step explanation:

Since we have given that

Amount he makes as an initial payment in the first month = $1451

According to question, the patient pays one-third of the previous month's payment each of the following months until the invoice is paid in full.

Amount he makes in the second month is given by

$\frac{1}{3}\times 1451\\\\=\ 483.67$

Amount he makes in the third month is given by

$\frac{1}{3}\times 483.67\\\\=\ 161.22$

Amount he makes in the fourth month is given by

$\frac{1}{3}\times 161.22\\\\=\ 53.74$

Total amount of invoice will be paid after the fourth month is given by

$1451+483.67+161.22+53.74=\ 2149.63$

Hence, the invoice will be paid after the fourth month is $2149.63.