CInterest

Saumyojit

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Present worth of Rs. x due T years hence is given by

Present Worth (PW) = x/(1+R/100)^T

Q1: How did the formula came?

q2: present worth of Rs. x due T years hence : Meaning of this line ?

Q3: is x the principle or amount?
 
Present worth of Rs. x due T years hence is given by

Present Worth (PW) = x/(1+R/100)^T
Q1: How did the formula came?................................................................ from compound interest equation that you have learned before

q2: present worth of Rs. x due T years hence : Meaning of this line ?

Do you know the meaning of "present worth"? If not please look it up in your textbook or class notes.

Do you know the meaning of "due T years hence"? If not please look it up in your textbook or class notes.

Q3: is x the principle or amount?

What are the differences between the terms principle or amount?
 
I explained the relationship between present and future value back in this thread.

https://www.freemathhelp.com/forum/threads/compound-interest.120239/

But you wanted to argue rather than understand.

The r/100 is just to turn the percent into a decimal.

The general formula is:

[MATH]f = p(1 + i)^n, \text {where}[/MATH]
[MATH]f = \text {FUTURE value,}[/MATH]
[MATH]p = \text {PRESENT value;}[/MATH]
[MATH]i = \text {INTEREST rate for compounding period expressed as a decimal; and}[/MATH]
[MATH]n = \text {NUMBER of compounding periods.}[/MATH]
And obviously [MATH]f = p(1 + i)^n \iff p = \dfrac{f}{(1 + i)^n}.[/MATH]
 
That means X is the future value or amt that is owned for n years and I need to give it back.
Principal is the present worth
 
That means X is the future value or amt that is owned for n years and I need to give it back.
Principal is the present worth
Yes. but the standard vocabulary is "present value" and "future value."
 
That means X is the future value or amt that is owned for n years and I need to give it back.
Principal is the present worth
Your question was:

q2: present worth of Rs. x due T years hence : Meaning of this line ?

So what do you think the meaning of the line was?

and the next question you asked was:

Q3: is x the principle or amount?

What are the differences between the terms principle or amount?
 
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