Question

in the formula $i = p \cdot r \cdot t$, what does $p$ stand for?
a. percent: the interest rate expressed as a percentage
b. principal: the amount of money you initially invested
c. period: how often the interest is calculated
d. payout: how much money you end up with

please select the best answer from the choices provided

○ a
○ b
○ c
○ d

Explanation:

The formula \( I = P \cdot r \cdot t \) is used to calculate simple interest, where \( I \) is interest, \( P \) is the principal (the initial amount of money invested or borrowed), \( r \) is the annual interest rate (in decimal form), and \( t \) is the time in years. Option a is incorrect because the interest rate is \( r \), not \( P \). Option c is incorrect as the period of interest calculation is not represented by \( P \). Option d is incorrect because the payout (amount at the end) would be \( P + I \), not \( P \) itself. So \( P \) stands for principal.

Answer:

B. Principal: the amount of money you initially invested