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Time period of Annual Compound Interest is the number of years for which the principal amount is invested, borrowed, or lent at a fixed rate compounded annually. Check FAQs
tAnnual=log((1+rAnnual100),AAnnualPAnnual)
tAnnual - Time Period of Annual Compound Interest?rAnnual - Annual Rate of Compound Interest?AAnnual - Final Amount of Annual CI?PAnnual - Principal Amount of Annual Compound Interest?

Time Period of Annual Compound Interest given Final Amount Example

With values
With units
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Here is how the Time Period of Annual Compound Interest given Final Amount equation looks like with Values.

Here is how the Time Period of Annual Compound Interest given Final Amount equation looks like with Units.

Here is how the Time Period of Annual Compound Interest given Final Amount equation looks like.

2Edit=log((1+20Edit100),144Edit100Edit)
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Time Period of Annual Compound Interest given Final Amount Solution

Follow our step by step solution on how to calculate Time Period of Annual Compound Interest given Final Amount?

FIRST Step Consider the formula
tAnnual=log((1+rAnnual100),AAnnualPAnnual)
Next Step Substitute values of Variables
∴ tAnnual=log((1+20100),144100)
Next Step Prepare to Evaluate
∴ tAnnual=log((1+20100),144100)
Next Step Evaluate
∴tAnnual=63113904s
LAST Step Convert to Output's Unit
∴tAnnual=2Year

Time Period of Annual Compound Interest given Final Amount Formula Elements

Variables
Functions
Time Period of Annual Compound Interest
Time period of Annual Compound Interest is the number of years for which the principal amount is invested, borrowed, or lent at a fixed rate compounded annually.
Symbol: tAnnual
Measurement: TimeUnit: Year
Note: Value should be greater than 0.
Formulas to find Time Period of Annual Compound InterestOpen Variable
Annual Rate of Compound Interest
The Annual Rate of Compound Interest is the percent of the interest paid over the principal amount for the due period compounded annually.
Symbol: rAnnual
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Annual Rate of Compound InterestOpen Variable
Final Amount of Annual CI
Final Amount of Annual CI is the total amount received or paid back, including the amount invested or borrowed initially, and interest on it for given time period at fixed rate compounded annually.
Symbol: AAnnual
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Final Amount of Annual CIOpen Variable
Principal Amount of Annual Compound Interest
Principal Amount of Annual Compound Interest is the amount invested, borrowed, or lent initially at a fixed rate for a given duration of time compounded annually.
Symbol: PAnnual
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Principal Amount of Annual Compound InterestOpen Variable
log
Logarithmic function is an inverse function to exponentiation.
Syntax: log(Base, Number)

Other Formulas to find Time Period of Annual Compound Interest

​Go Time Period of Annual Compound Interest
tAnnual=log((1+rAnnual100),CIAnnualPAnnual+1)

How to Evaluate Time Period of Annual Compound Interest given Final Amount?

Time Period of Annual Compound Interest given Final Amount evaluator uses Time Period of Annual Compound Interest = log((1+Annual Rate of Compound Interest/100),Final Amount of Annual CI/Principal Amount of Annual Compound Interest) to evaluate the Time Period of Annual Compound Interest, The Time Period of Annual Compound Interest given Final Amount formula is defined as the number of years for which the principal amount is invested, borrowed, or lent at a fixed rate compounded annually, and is calculated using the final amount of Compound Interest. Time Period of Annual Compound Interest is denoted by tAnnual symbol.

How to evaluate Time Period of Annual Compound Interest given Final Amount using this online evaluator? To use this online evaluator for Time Period of Annual Compound Interest given Final Amount, enter Annual Rate of Compound Interest (rAnnual), Final Amount of Annual CI (AAnnual) & Principal Amount of Annual Compound Interest (PAnnual) and hit the calculate button.

FAQs on Time Period of Annual Compound Interest given Final Amount

What is the formula to find Time Period of Annual Compound Interest given Final Amount?
The formula of Time Period of Annual Compound Interest given Final Amount is expressed as Time Period of Annual Compound Interest = log((1+Annual Rate of Compound Interest/100),Final Amount of Annual CI/Principal Amount of Annual Compound Interest). Here is an example- 6.3E-8 = log((1+20/100),144/100).
How to calculate Time Period of Annual Compound Interest given Final Amount?
With Annual Rate of Compound Interest (rAnnual), Final Amount of Annual CI (AAnnual) & Principal Amount of Annual Compound Interest (PAnnual) we can find Time Period of Annual Compound Interest given Final Amount using the formula - Time Period of Annual Compound Interest = log((1+Annual Rate of Compound Interest/100),Final Amount of Annual CI/Principal Amount of Annual Compound Interest). This formula also uses Logarithmic Inverse (log) function(s).
What are the other ways to Calculate Time Period of Annual Compound Interest?
Here are the different ways to Calculate Time Period of Annual Compound Interest-
  • Time Period of Annual Compound Interest=log((1+Annual Rate of Compound Interest/100),Annual Compound Interest/Principal Amount of Annual Compound Interest+1)OpenImg
Can the Time Period of Annual Compound Interest given Final Amount be negative?
No, the Time Period of Annual Compound Interest given Final Amount, measured in Time cannot be negative.
Which unit is used to measure Time Period of Annual Compound Interest given Final Amount?
Time Period of Annual Compound Interest given Final Amount is usually measured using the Year[Year] for Time. Second[Year], Millisecond[Year], Microsecond[Year] are the few other units in which Time Period of Annual Compound Interest given Final Amount can be measured.
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