Check the picture below
thus, to get the radius
![\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -3}}\quad ,&{{ -6}})\quad % (c,d) &({{ -4}}\quad ,&{{ 8}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bdistance%20between%202%20points%7D%5C%5C%20%5Cquad%20%5C%5C%0A%5Cbegin%7Barray%7D%7Blllll%7D%0A%26x_1%26y_1%26x_2%26y_2%5C%5C%0A%25%20%20%28a%2Cb%29%0A%26%28%7B%7B%20-3%7D%7D%5Cquad%20%2C%26%7B%7B%20-6%7D%7D%29%5Cquad%20%0A%25%20%20%28c%2Cd%29%0A%26%28%7B%7B%20-4%7D%7D%5Cquad%20%2C%26%7B%7B%208%7D%7D%29%0A%5Cend%7Barray%7D%5Cqquad%20%0A%25%20%20distance%20value%0Ad%20%3D%20%5Csqrt%7B%28%7B%7B%20x_2%7D%7D-%7B%7B%20x_1%7D%7D%29%5E2%20%2B%20%28%7B%7B%20y_2%7D%7D-%7B%7B%20y_1%7D%7D%29%5E2%7D)
and once you get the radius "r", plug it in at the circle's equation then
Compound Interest Formula is:A = P * ( 1 + r )^nP = $8,592r = 7.5 % = 0.075n = 9.5 ( years )A = 8,592 * ( 1 + 0.075 )^(9.5)A = 8,592 * (1.075)^(9.5)A = 8,592 * 1.9878A = $17,079.48Answer: In 9.5 years there will be $17,079.48 on account.
Answer:
Step-by-step explanation: 3/5 of 25 is 15 so they will win 15 games
Answer:
a simplified fraction
Step-by-step explanation:
You can simplify the integrand:
![\dfrac{3x^2+4x+1}{2x}=\dfrac{3x}2+2+\dfrac1{2x}](https://tex.z-dn.net/?f=%5Cdfrac%7B3x%5E2%2B4x%2B1%7D%7B2x%7D%3D%5Cdfrac%7B3x%7D2%2B2%2B%5Cdfrac1%7B2x%7D)
Then integrate term-by-term:
![\displaystyle\int\frac{3x^2+4x+1}{2x}\,\mathrm dx=\frac32\int x\,\mathrm dx+2\int\mathrm dx+\frac12\int\frac{\mathrm dx}x](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint%5Cfrac%7B3x%5E2%2B4x%2B1%7D%7B2x%7D%5C%2C%5Cmathrm%20dx%3D%5Cfrac32%5Cint%20x%5C%2C%5Cmathrm%20dx%2B2%5Cint%5Cmathrm%20dx%2B%5Cfrac12%5Cint%5Cfrac%7B%5Cmathrm%20dx%7Dx)
![=\dfrac{3x^2}4+2x+\dfrac12\ln|x|+C](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B3x%5E2%7D4%2B2x%2B%5Cdfrac12%5Cln%7Cx%7C%2BC)