Answer: $16,582.50
Step-by-step explanation:
$50,250 x 3.3% = 1658.25 x 10 = $16,582.50
312 miles in 6 hours. That's 52 miles per hour. (312 ÷ 6 = 52)
If we let V', A', and r' represent the rates of change of the volume, area, and radius of the sphere, we can differentiate equations for V and A in terms of r, then eliminate r' to get an equation for A' in terms of V'.
![V=\dfrac{4}{3}\pi r^{3}\\V^{\prime} =4\pi r^{2}\cdot r^{\prime}\\\\A=4\pi r^{2}\\A^{\prime} =8\pi r\cdot r^{\prime}\\\\A^{\prime}=8\pi r\cdot \dfrac{V^{\prime}}{4\pi r^{2}}=\dfrac{2}{r}V^{\prime}](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B4%7D%7B3%7D%5Cpi%20r%5E%7B3%7D%5C%5CV%5E%7B%5Cprime%7D%20%3D4%5Cpi%20r%5E%7B2%7D%5Ccdot%20r%5E%7B%5Cprime%7D%5C%5C%5C%5CA%3D4%5Cpi%20r%5E%7B2%7D%5C%5CA%5E%7B%5Cprime%7D%20%3D8%5Cpi%20r%5Ccdot%20r%5E%7B%5Cprime%7D%5C%5C%5C%5CA%5E%7B%5Cprime%7D%3D8%5Cpi%20r%5Ccdot%20%5Cdfrac%7BV%5E%7B%5Cprime%7D%7D%7B4%5Cpi%20r%5E%7B2%7D%7D%3D%5Cdfrac%7B2%7D%7Br%7DV%5E%7B%5Cprime%7D)
Then, for the given values, the surface area is increasing at the rate ...
... A' = (2/8)·25 ft²/s = 6.25 ft²/s
Answer: 73
Step-by-step explanation:
You use the bowtie method to get the answer for this problem. This is where you do 4/15 and x/273. You multiply 4 by 273 and x by 15. Resulting in the answers 1092 and 15x. To find the value of x, you divide 1092 by 15. and get 72.8. I rounded up to 73.
12p + 15 - 13 - 12p
12p - 12p is cancelled
15 - 13 equals 2
Therefore the answer is 2