Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Ask your questions and receive precise answers from experienced professionals across different disciplines. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Which of the following is an equivalent expression to [tex]$6 \cdot(1+0.40)^{2x}$[/tex]?

A. [tex]6 \cdot(2.8)^x[/tex]
B. [tex]6 \cdot(1.96)^x[/tex]
C. [tex]36 \cdot(1.4)^x[/tex]
D. [tex]12 \cdot(1.4)^x[/tex]

Sagot :

GinnyAnswer
Let's simplify the given expression step-by-step to find the equivalent expression.

The original expression is:
[tex]\[ 6 \cdot (1 + 0.40)^{2x} \][/tex]

First, we simplify inside the parentheses:
[tex]\[ 1 + 0.40 = 1.40 \][/tex]
So, the expression becomes:
[tex]\[ 6 \cdot (1.40)^{2x} \][/tex]

Next, we recognize that we can rewrite [tex]\((1.40)^{2x}\)[/tex] as:
[tex]\[ (1.40)^{2x} = ((1.40)^2)^x \][/tex]
Calculating [tex]\((1.40)^2\)[/tex]:
[tex]\[ (1.40)^2 = 1.96 \][/tex]

Therefore, the expression simplifies to:
[tex]\[ 6 \cdot (1.96)^x \][/tex]

So, the equivalent expression is:
[tex]\[ 6 \cdot (1.96)^x \][/tex]

The correct answer is:
[tex]\[ 6 \cdot (1.96)^x \][/tex]
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.