Respuesta :
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)