Answer:
![d=\sqrt{101}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B101%7D)
Step-by-step explanation:
Distance Formula: ![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Simply plug in your 2 coordinates into the distance formula to find distance <em>d</em>:
![d=\sqrt{(8-(-2))^2+(2-3)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%288-%28-2%29%29%5E2%2B%282-3%29%5E2%7D)
![d=\sqrt{(8+2)^2+(-1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%288%2B2%29%5E2%2B%28-1%29%5E2%7D)
![d=\sqrt{(10)^2+1}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%2810%29%5E2%2B1%7D)
![d=\sqrt{100+1}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B100%2B1%7D)
![d=\sqrt{101}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B101%7D)
Hello from MrBillDoesMath!
Answer:
Interest paid = $ 1,713,568.73
Monthly p[payment = $4913.25
Discussion:
From the "compound interest formula:
A = final amount
P = Initial amount (Principal)
r = yearly interest rate
n = number of years of accumulation.
In our case,
A = 350000( 1 + .052)^35 =
350000 (5.90) = (approx)
$2,063,568.73
Interest = $2,063,568.73 - 350000 = $ 1,713,568.73
There are 35 *12 = 420 months in 35 years. So the monthly payment would be ($2,063,568.73 / 420) = $4913.25
Thank you,
MrB
Answer:
Step-by-step explanation:
Take the coordinates(0,0)(2, -2)(6, -4)(4, -6) and cut each number in half. Then move each point left 3 and up 2.
Answer:
So, we conclude that the best estimate for the difference in the proportion of smokers is 4.4%.
Step-by-step explanation:
We know that 27 of the 193 males in the sample smoke while 16 of the 169 females in the sample smoke.
We have the following proportion:
![27:x=193:100\%\\\\193x=27\cdot 100\\\\193x=2700\\\\x=\frac{2700}{193}\\\\x=13.9\%](https://tex.z-dn.net/?f=27%3Ax%3D193%3A100%5C%25%5C%5C%5C%5C193x%3D27%5Ccdot%20100%5C%5C%5C%5C193x%3D2700%5C%5C%5C%5Cx%3D%5Cfrac%7B2700%7D%7B193%7D%5C%5C%5C%5Cx%3D13.9%5C%25)
So we get that 13.9% of men smoke.
We have the following proportion:
![16:x=169:100\%\\\\169x=16\cdot 100\\\\169x=1600\\\\x=\frac{1600}{169}\\\\x=9.5\%](https://tex.z-dn.net/?f=16%3Ax%3D169%3A100%5C%25%5C%5C%5C%5C169x%3D16%5Ccdot%20100%5C%5C%5C%5C169x%3D1600%5C%5C%5C%5Cx%3D%5Cfrac%7B1600%7D%7B169%7D%5C%5C%5C%5Cx%3D9.5%5C%25)
So we get that 9.5% of women smoke.
We get: 13.9%-9.5%=4.4%.
So, we conclude that the best estimate for the difference in the proportion of smokers is 4.4%.