Question
Deana invests some money that earns interest compounded annually. At the end of the first year, she earns $400 in interest. At the end of the second year, she earns $432 in interest.
a) what interest rate, compounded annually, is deana earning?
b) how much did she invest?
a) what interest rate, compounded annually, is deana earning?
b) how much did she invest?
Answers
Devron
I think you can do the following:
P*R=I
Where
P=principal=amount investere
R=interest rate
and
I=amount in interest
You have two equations.
1.)
P*R=400
and
(P+400)*R=432
****The principal now includes the interest from the previous year.
Solving for P (Equation 1):
P=400/R
Plug into equation 2, and solve for R:
(400/R+400)*R=432
400+400R=432
400R=32
R=32/400
R=0.008=0.8%
You know R, so solve for P:
Using equation 1:
P=400/R
P=400/0.008
P=$50,000
P*R=I
Where
P=principal=amount investere
R=interest rate
and
I=amount in interest
You have two equations.
1.)
P*R=400
and
(P+400)*R=432
****The principal now includes the interest from the previous year.
Solving for P (Equation 1):
P=400/R
Plug into equation 2, and solve for R:
(400/R+400)*R=432
400+400R=432
400R=32
R=32/400
R=0.008=0.8%
You know R, so solve for P:
Using equation 1:
P=400/R
P=400/0.008
P=$50,000
Devron
Fixed a typo: Look for #%^
I think you can do the following:
P*R=I
Where
P=principal=amount invested (#$^)
R=interest rate
and
I=amount in interest
You have two equations.
1.)
P*R=400
and
(P+400)*R=432
****The principal now includes the interest from the previous year.
Solving for P (Equation 1):
P=400/R
Plug into equation 2, and solve for R:
(400/R+400)*R=432
400+400R=432
400R=32
R=32/400
R=0.008=0.8%
You know R, so solve for P:
Using equation 1:
P=400/R
P=400/0.008
P=$50,000
I think you can do the following:
P*R=I
Where
P=principal=amount invested (#$^)
R=interest rate
and
I=amount in interest
You have two equations.
1.)
P*R=400
and
(P+400)*R=432
****The principal now includes the interest from the previous year.
Solving for P (Equation 1):
P=400/R
Plug into equation 2, and solve for R:
(400/R+400)*R=432
400+400R=432
400R=32
R=32/400
R=0.008=0.8%
You know R, so solve for P:
Using equation 1:
P=400/R
P=400/0.008
P=$50,000
Iu
Bot
I'm sorry, I'm not sure what you mean by "Iu." Can you please provide more context or information?