Respuesta :
The required values are
1. The monthly interest rate is 1%
2. The monthly payment is $125.4
3. The total amount is $3025.
4. The average monthly payment is $555.44
5. The third option is correct.
Compound interest
Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
How do find the solutions?
1. If the annual interest rate is 12%, what is the monthly interest rate?
So the monthly interest rate is = 12/12 = 1%
2. Calculate the monthly payment for a $2,500 loan at 10% annual interest for two years.
Principal = $2500
Rate = 10%
Time = 2 years
We know the formula for the amount.
[tex]\rm Amount = principal (1+ \dfrac{rate}{100})^{time}\\\\Amount = 2500 (1 + \dfrac{10}{100})^2\\\\Amount = 3025[/tex]
For monthly payment
[tex]\rm Monthly\ payment = \dfrac{3025}{24}\\\\\rm Monthly\ payment = 125.4[/tex]
The monthly payment is $125.4
3. Calculate the total payback for a $2,500 loan at 10% annual interest for two years.
Principal = $2500
Rate = 10%
Time = 2 years
We know the formula for the amount.
[tex]\rm Amount = principal (1+ \dfrac{rate}{100})^{time}\\\\Amount = 2500 (1 + \dfrac{10}{100})^2\\\\Amount = 3025[/tex]
The total amount is $3025.
4. Oliva buys a 5-piece living room set from a furniture store offering 0% interest for 9 months. Calculate the average monthly payment she should make to avoid paying deferred interest charges for the $4,999 set.
[tex]\rm The\ average\ monthly\ payment\ = \dfrac{4999}{9}\\\\\rm The\ average\ monthly\ payment\ = 555.44[/tex]
So the average monthly payment is $555.44
Thus the required values are
1. The monthly interest rate is 1%
2. The monthly payment is $125.4
3. The total amount is $3025.
4. The average monthly payment is $555.44
5. The third option is correct.
More about the compound interest link is given below.
https://brainly.com/question/25857212