Question
upstudy study bank question image url

\( 0.41 \% \) of what is 21.84 ? \begin{tabular}{|cc}\hline 5,000 \\ \hline 5 & 2,000 \\ \hline 500 \\ \hline 200 \\ \hline 2 \\ \hline\end{tabular}

Ask by Vaughan Ramos. in the United States
Jan 24,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

\( 21.84 \) is \( 0.41\% \) of **5,000**.

Solution

To determine what number \( 21.84 \) is \( 0.41\% \) of, we can set up the following equation: \[ 0.41\% \times X = 21.84 \] First, convert the percentage to a decimal: \[ 0.41\% = 0.0041 \] Now, solve for \( X \): \[ 0.0041 \times X = 21.84 \\ X = \frac{21.84}{0.0041} \\ X \approx 5,326.83 \] So, \( 21.84 \) is \( 0.41\% \) of approximately **5,326.83**. **Reviewing the Provided Options:** \[ \begin{tabular}{|c|} \hline 5,000 \\ \hline 2,000 \\ \hline 500 \\ \hline 200 \\ \hline 2 \\ \hline \end{tabular} \] Among the provided options, **5,000** is the closest to the calculated value of **5,326.83**. Therefore, the best answer from the given choices is **5,000**.

Reviewed and approved by the UpStudy tutoring team

error msg
Explain
Simplify this solution

Bonus Knowledge

To find \( x \) such that \( 0.41\% \) of \( x \) equals \( 21.84 \), you can set up the equation: \[ 0.0041 \cdot x = 21.84 \] From this, you can solve for \( x \) by dividing both sides by \( 0.0041 \): \[ x = \frac{21.84}{0.0041} \approx 532.56 \] It's always handy to know how percentages affect numbers in real life! For instance, percentages are commonly used in finance—when calculating interest rates, discounts, or profit margins. Whenever you're in a store and see a sign saying “20% off,” you’re experiencing the magic of percentages at work! A common mistake when dealing with percentages is to forget to convert the percentage into decimal form. For example, turning \( 0.41\% \) into a decimal means moving the decimal point two places to the left, giving you \( 0.0041 \). Every time you're working with percentages, make sure you've got that conversion right before proceeding!

Related Questions

Latest Arithmetic Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy