Question
Solve the following equation for \( d \). Round value to 2 decimal places it needed. \( 500,000=\frac{d(19)}{\left(\frac{0.1}{12}\right)} \) \( d=1 \)
Ask by Rose Harrington. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( d \approx 219.30 \)
Solution
Solve the equation \( 500,000=\frac{d(19)}{\left(\frac{0.1}{12}\right)} \).
Solve the equation by following steps:
- step0: Solve for \(d\):
\(500000=\frac{d\times 19}{\left(\frac{0.1}{12}\right)}\)
- step1: Remove the parentheses:
\(500000=\frac{d\times 19}{\frac{0.1}{12}}\)
- step2: Simplify:
\(500000=2280d\)
- step3: Swap the sides:
\(2280d=500000\)
- step4: Divide both sides:
\(\frac{2280d}{2280}=\frac{500000}{2280}\)
- step5: Divide the numbers:
\(d=\frac{12500}{57}\)
The solution to the equation \(500,000=\frac{d(19)}{\left(\frac{0.1}{12}\right)}\) for \(d\) is \(d \approx 219.298246\). Rounding this value to 2 decimal places, we get \(d \approx 219.30\).
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Simplify this solution Mind Expander
To solve the equation for \( d \), let's first manipulate the equation: \[ 500,000 = \frac{d(19)}{\left(\frac{0.1}{12}\right)} \] We can rewrite it by getting rid of the fraction in the denominator: \[ 500,000 \cdot \left(\frac{0.1}{12}\right) = d(19) \] Next, calculate \( \frac{0.1}{12} \): \[ \frac{0.1}{12} = 0.0083333... \] Now, multiply that by \( 500,000 \): \[ 500,000 \cdot 0.0083333 \approx 4166.67 \] So, we have: \[ d(19) = 4166.67 \] Now, divide both sides by 19 to solve for \( d \): \[ d = \frac{4166.67}{19} \approx 219.84 \] Therefore, rounded to two decimal places, \( d \) is approximately \( 219.84 \).
