Answer:
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
First, change 6% into a decimal:
6% -> -> 0.06
Since the interest is compounded semi-annually, we will use 2 for n. Lets plug in the values now and your equation will be:
Option D: is the expression equivalent to
Explanation:
Option A:
The expression can be written as
Applying exponent rule, we get,
Thus, the expression is not equivalent to the expression
Hence, Option A is not the correct answer.
Option B:
The expression can be written as
Applying exponent rule, we get,
Thus, the expression is not equivalent to the expression
Hence, Option B is not the correct answer.
Option C:
The expression can be written as
Applying exponent rule, we get,
Thus, the expression is not equivalent to the expression
Hence, Option C is not the correct answer.
Option D:
The expression can be written as
Applying exponent rule, we get,
Thus, the expression is equivalent to the expression
Hence, Option D is the correct answer.