If $1200 is deposited in an account that pays 6.5% interest, what is the difference in the amount after 4 years between the amou

Question

lakkis [162]

3 years ago

10

If $1200 is deposited in an account that pays 6.5% interest, what is the difference in the amount after 4 years between the amou

nt earned if the principal is compounded annually and the amount earned calculated using simple interest?

Mathematics

2 answers:

rodikova [14] · Answer 1 · 2022-03-06T07:42:16+03:00

rodikova [14]3 years ago

4 0

The interest would be $312

Inessa [10] · Answer 2 · 2022-03-06T09:48:03+03:00

Inessa [10]3 years ago

3 0

Compounded is
$A=P(r+1)^t$ for
P=principal
r=rate
t=time

simplie is
I=PRT
p=principal
r=rate
t=time

comound
P=1200
R=6.5%=0.065
T=4
$A=1200(0.065+1)^4$
$A=1200(1.065)^4$
A=1543.76
I=A-P
I=1543.76-1200
I=343.76

simple
P=1200
r=6.5%=0.065
t=4
I=1200*0.065*4
I=312

compare
compouned=343.76
simplie=312
difference=343.76-312=31.76

the difference is $31.76