Respuesta :
Answer:
a) $520
b) $580
c) Interest amount is same each year
Step-by-step explanation:
Given - Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withdrawals.
To find - a) How much money was in the account after one year?
       b) How much money was in the account after 4 years?
       c) Was the amount of money earned in interest the same or different each year?
Proof -
Here given that,
Principal amount = $500
rate of interest = 4% = 4/100 = 0.04
Now,
a)
Amount = Â P [ 1 + RT ]
       = 500 [ 1 + 0.04(1)]
       = 500 [ 1 + 0.04] = 520
⇒Amount = $520
b)
Amount = Â P [ 1 + RT ]
       = 500 [ 1 + 0.04(4)]
       = 500 [ 1 + 0.16] = 580
⇒Amount = $580
c)
In 2nd year,
Amount = Â P [ 1 + RT ]
       = 500 [ 1 + 0.04(2)]
       = 500 [ 1 + 0.08] = 540
⇒Amount = $540
Now,
Interest in 1st year = 520 - 500 = 20
Interest in 2nd year = 540 - 520 = 20
So,
The interest amount  is same each year
