What is the value of y in the equation 5x + 2y = 20, when x = 0.3?
2 answers:
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Answer:
The time required to get a total amount of $ 640.00 from compound interest on a principal of $ 440.00 at an interest rate of 5.6% per year and compounded 365 times per year is approximately 7 years.
Step-by-step explanation:
Given
- Principle Amount P = $440
- Accrued Amount A = $640
- Interest rate r = 5.6% = 0.056
- Compounded daily n = 365
To determine:
Time period t = ?
Using the formula
solving for t
t = ln(A/P) / n[ln(1 + r/n)]
substituting the values A = 640, P = 440, n = 365 and r = 0.056
t = ln(640/440) / ( 365 × [ln(1 + 0.00015342465753425/365)] )
t = 6.691
t ≈ 7 (nearest year)
Therefore, the time required to get a total amount of $ 640.00 from compound interest on a principal of $ 440.00 at an interest rate of 5.6% per year and compounded 365 times per year is approximately 7 years.
Using simple interest, it is found that:
- The total amount paid was of $7,084.8.
- The finance charge was of $584.8.
- The simple interest rate was of 3%.
Simple interest is used when there is a single compounding per time period.
The amount of interest after t years in is modeled by:
In which:
- P is the initial amount.
- r is the interest rate, as a decimal.
In this problem, the amount paid was of 36 monthly payments of
$196.80, hence:
36 x 196.80 = $7084.8.
The total amount paid was of $7,084.8.
The original price is of $6,500, hence the finance charge was of:
7084.8 - 6500 = $584.8.
For interest, we have that:
, hence:
The simple interest rate was of 3%.
More can be learned about simple interest at brainly.com/question/25296782