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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.
Answer:
The equation that models the situation is .
Step-by-step explanation:
Let suppose that effects from air friction and Earth's rotation can be neglected, so that the softball can be modelled experiment a free fall, that is, an uniform accelerated motion due to gravity. From we know the initial velocity and position of the position and we can determine the final position of the ball as a function of the final velocity:
(1)
Where:
,
- Initial and final position of the softball, measured in feet.
- Acceleration, measured in meters per square second.
,
- Initial and final velocities of the softball, measured in feet per second.
If we know that ,
and
, then the equation that models the situation is:
Then, we clear the final position of the softball:
The equation that models the situation is .