solve for p in the formula below. what does the resulting formula describe? a = \\frac{p(1 + r)^{t}-1}{r} p =

solve for p in the formula below. what does the resulting formula describe? a = \\frac{p(1 + r)^{t}-1}{r} p =

solve for p in the formula below. what does the resulting formula describe? a = \\frac{p(1 + r)^{t}-1}{r} p =

Answer

Explanation:

Step1: Multiply both sides by r

$A\times r = P[(1 + r)^t-1]$

Step2: Divide both sides by $(1 + r)^t - 1$

$P=\frac{Ar}{(1 + r)^t-1}$

The resulting formula describes the principal - amount in a compound - interest related context. For example, it can be used to find the regular payment amount in an ordinary annuity situation where $A$ is the future value of the annuity, $r$ is the interest rate per period, and $t$ is the number of periods.

Answer:

$P=\frac{Ar}{(1 + r)^t-1}$