Simplify the following. ( 5066)/(1+0.48times frac (146)(365))

To simplify the given expression \(\frac{\$5066}{1 + 0.48 \times \frac{146}{365}}\), we need to follow these steps:<br /><br />1. Calculate the value of \(0.48 \times \frac{146}{365}\).<br />2. Add this value to 1.<br />3. Divide \$5066 by the result from step 2.<br /><br />Let's start with step 1:<br /><br />\[<br />0.48 \times \frac{146}{365}<br />\]<br /><br />First, compute \(\frac{146}{365}\):<br /><br />\[<br />\frac{146}{365} \approx 0.4<br />\]<br /><br />Next, multiply this result by 0.48:<br /><br />\[<br />0.48 \times 0.4 = 0.192<br />\]<br /><br />Now proceed to step 2:<br /><br />\[<br />1 + 0.192 = 1.192<br />\]<br /><br />Finally, divide \$5066 by 1.192:<br /><br />\[<br />\frac{\$5066}{1.192} \approx 4250<br />\]<br /><br />Thus, the simplified value is approximately:<br /><br />\[<br />\$4250<br />\]