Micah deposits C dollars in a bank. The deposited amount earns an annual interest rate of r% and becomes D dollars in t years ac

Question

Mnenie

2 months ago

8

Micah deposits C dollars in a bank. The deposited amount earns an annual interest rate of r% and becomes D dollars in t years ac

cording to the formula Which formulas could be used to calculate t given C,D, and r

Mathematics

2 answers:

PIT_PIT [12.4K] · Answer 1 · 2026-03-25T00:45:19+03:00

Answer:

$t = \frac{100}{r} [\frac{D}{C} - 1]$

Step-by-step explanation:

Let’s consider that the amount deposited, C dollars, generates r% simple interest each year.

After a span of t years, the value of the deposited C dollars reaches D dollars; our task now is to formulate a relationship using these variables to find t.

We can express this relationship through the simple interest formula:

$D = C(1 + \frac{t\times r}{100})$

⇒ $1 + \frac{t \times r}{100} = \frac{D}{C}$

⇒ $\frac{t \times r}{100} = \frac{D}{C} - 1$

⇒ $t = \frac{100}{r} [\frac{D}{C} - 1]$

Thus, this yields the formula for t. (Answer)

lawyer [12.5K] · Answer 2 · 2026-03-25T00:42:15+03:00

lawyer [12.5K]2 months ago

5 0

Response:

t= 100/r [d/c-1]