Question
Solve the following equation for \( d \). Round value to 2 decimal places if needed. \( 500,000=\frac{d(19)}{\left(\frac{0.1}{12}\right)} \) \( d= \)
Ask by Malone Bartlett. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( d = 219.30 \)
Solution
We start with the equation:
500,000 = [d × 19] / (0.1/12)
Step 1. Multiply both sides by (0.1/12) to isolate d × 19:
500,000 × (0.1/12) = d × 19
Step 2. Divide both sides by 19 to solve for d:
d = [500,000 × (0.1/12)] / 19
Step 3. Calculate the intermediate values:
First, 0.1/12 = 0.00833333…
Then, 500,000 × 0.00833333… = 500,000/120 = 4,166.67 (approximately)
Step 4. Finally, divide by 19:
d ≈ 4,166.67 / 19 ≈ 219.30
Thus, the solution rounded to two decimal places is: 219.30.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Mind Expander
To solve for \( d \), we start by rearranging the equation: \[ 500,000 = \frac{d(19)}{\left(\frac{0.1}{12}\right)} \] First, simplify the denominator: \[ \frac{0.1}{12} = 0.0083333... \] Now, multiply both sides by \( \frac{0.1}{12} \): \[ 500,000 \times 0.0083333... = d(19) \] Calculating the left side: \[ 500,000 \times 0.0083333... = 4,166.66666... \] Now we can set it equal to \( d(19) \): \[ 4,166.66666... = d(19) \] To isolate \( d \), divide both sides by 19: \[ d = \frac{4,166.66666...}{19} \approx 219.8414... \] Rounding to two decimal places gives: \[ d \approx 219.84 \] So \( d \approx 219.84 \).
