Micah deposits C dollars in a bank. The deposited amount earns an annual interest rate of r% and becomes D dollars in t years according to the formula Which formulas could be used to calculate t given C,D, and r

Answer:[tex]t = \frac{100}{r} [\frac{D}{C} - 1][/tex]Step-by-step explanation:Assume that the deposited amount C dollars earn r% simple interest annually. If after t years the deposited amount C dollars grows to D dollars, then we are asked to write a relation using the given terms to calculate t. Now, using the formula of simple interest we can write [tex]D = C(1 + \frac{t\times r}{100})[/tex] ⇒ [tex]1 + \frac{t \times r}{100} = \frac{D}{C}[/tex] ⇒ [tex]\frac{t \times r}{100} = \frac{D}{C} - 1[/tex] ⇒ [tex]t = \frac{100}{r} [\frac{D}{C} - 1][/tex] So, this is the expression for t. (Answer)