Question
Solve the following equation for \( d \). Round value to 2 decimal places if needed \( 800,000=\frac{d(25)}{\left(\frac{0.09}{12}\right)} \) \( d=\square \)
Ask by Mcguire Fuentes. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( d = 240 \)
Solution
Solve the equation \( 800,000=\frac{d(25)}{\left(\frac{0.09}{12}\right)} \).
Solve the equation by following steps:
- step0: Solve for \(d\):
\(800000=\frac{d\times 25}{\left(\frac{0.09}{12}\right)}\)
- step1: Remove the parentheses:
\(800000=\frac{d\times 25}{\frac{0.09}{12}}\)
- step2: Simplify:
\(800000=\frac{10000d}{3}\)
- step3: Swap the sides:
\(\frac{10000d}{3}=800000\)
- step4: Cross multiply:
\(10000d=3\times 800000\)
- step5: Simplify the equation:
\(10000d=2400000\)
- step6: Divide both sides:
\(\frac{10000d}{10000}=\frac{2400000}{10000}\)
- step7: Divide the numbers:
\(d=240\)
The solution to the equation \(800,000=\frac{d(25)}{\left(\frac{0.09}{12}\right)}\) is \(d=240\).
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Simplify this solution Mind Expander
To solve the equation \( 800,000=\frac{d(25)}{\left(\frac{0.09}{12}\right)} \), we first isolate \( d \): 1. Rewrite the equation: \[ 800,000 \cdot \left(\frac{0.09}{12}\right) = d(25) \] 2. Calculate \( \frac{0.09}{12} \): \[ \frac{0.09}{12} = 0.0075 \] 3. Substitute and rearrange: \[ 800,000 \cdot 0.0075 = d(25) \] \[ 6000 = d(25) \] 4. Divide both sides by 25: \[ d = \frac{6000}{25} \] \[ d = 240 \] Thus, the value of \( d \) is \( 240 \).
