if the sphere has a diameter of 5, then its radius is half that, or 2.5.
![\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=2.5 \end{cases}\implies V=\cfrac{4\pi (2.5)^3}{3}\implies V=\cfrac{62.5\pi }{3} \\\\\\ V\approx 65.44984694978736\implies V=\stackrel{\textit{rounded up}}{65.45}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bvolume%20of%20a%20sphere%7D%5C%5C%5C%5C%20V%3D%5Ccfrac%7B4%5Cpi%20r%5E3%7D%7B3%7D~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D2.5%20%5Cend%7Bcases%7D%5Cimplies%20V%3D%5Ccfrac%7B4%5Cpi%20%282.5%29%5E3%7D%7B3%7D%5Cimplies%20V%3D%5Ccfrac%7B62.5%5Cpi%20%7D%7B3%7D%20%5C%5C%5C%5C%5C%5C%20V%5Capprox%2065.44984694978736%5Cimplies%20V%3D%5Cstackrel%7B%5Ctextit%7Brounded%20up%7D%7D%7B65.45%7D)
Here is your perfect answer
Hi there! So there were $2,000 in sales on Monday, and then it dropped by 10% on Tuesday. As you probably know, percents are parts of 100. Even though the sales dropped by 1%, it is still 90% of Monday's sales, because 100 - 10 is 90. 2,000 * 90% (0.9) is 1,800. $1,800 in sales were made on Tuesday. On Wednesday, sales fell another 20%, which leaves 80% of Tuesday's amount still made. 1,800 * 80% (0.8) is 1,440. $1,440 of sales were made on Wednesday. Now, the amount of Thursday's sales increased by 25% of Monday's sales. We can multiply Monday's sales (2,000) by 25% to find what amount that is. 2,000 * 25% (0.25) is 500. Now, we add that to Wednesday's amount to find Thursday's amount. 1,440 + 500 is 1,940. We can find the net change by finding the difference. Net change can be positive or negative. In this case, 2,000 - 1,940 is 60. Sales dropped overall from Monday to Thursday, so the net change will be negative. There. The net change in total sales is -$60.
Steps to solve:
40 + 5x > 95 - 4x
~Subtract 40 to both sides
5x > 55 - 4x
~Add 4x to both sides
9x > 55
~Divide 9 to both sides
x > 55/9
Best of Luck!
