Ava's sister paid a 4.5% annual interest rate
Her sister paid $54 more than she borrowed, divide that by 3 (years till she paid)
54/3 = 18
That's $18 for every year she'd had the $400 loan out, divide it by 4 to get the percentage
18/4 = 4.5/100 = 4.5%
Answer:
48 degrees
Step-by-step explanation:
Because the angles are on the same line (the vertical one) we know that both of them would add up to 180 degrees. So first we subtract 180-32 to get 148. Now we know that 3h+4=148. To solve for h, our first step would be to subtract 4. Now the equation is 3h=144. Lastly, we divide both sides by 3 to get h=48.
3/4+3/4+3/4+3/4 is the answer.
So, we know the center of this circle is at 6, -2, and a point on the circle is at 3,4. Now, from the center of the circle, to a point on the circle, is how long the
radius is, therefore, the distance from 6, -2 to 3,4 is the radius "r", thus,
![\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\ \quad \\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~{{ 6}} &,&{{ -2}}~) % (c,d) &&(~{{3}} &,&{{ 4}}~) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ r=\sqrt{[3-6]^2+[4-(-2)]^2}\implies r=\sqrt{(3-6)^2+(4+2)^2} \\\\\\ r=\sqrt{(-3)^2+6^2}\implies r=\sqrt{45}\\\\ -------------------------------\\\\](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%7Bccccccccc%7D%0A%26%26x_1%26%26y_1%26%26x_2%26%26y_2%5C%5C%0A%25%20%20%28a%2Cb%29%0A%26%26%28~%7B%7B%206%7D%7D%20%26%2C%26%7B%7B%20-2%7D%7D~%29%20%0A%25%20%20%28c%2Cd%29%0A%26%26%28~%7B%7B3%7D%7D%20%26%2C%26%7B%7B%204%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%0A%5C%5C%5C%5C%5C%5C%0Ar%3D%5Csqrt%7B%5B3-6%5D%5E2%2B%5B4-%28-2%29%5D%5E2%7D%5Cimplies%20r%3D%5Csqrt%7B%283-6%29%5E2%2B%284%2B2%29%5E2%7D%0A%5C%5C%5C%5C%5C%5C%0Ar%3D%5Csqrt%7B%28-3%29%5E2%2B6%5E2%7D%5Cimplies%20r%3D%5Csqrt%7B45%7D%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C)
![\bf \textit{equation of a circle}\\\\ (x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2 \qquad center~~(\stackrel{6}{{{ h}}},\stackrel{-2}{{{ k}}})\qquad \qquad radius=\stackrel{\sqrt{45}}{{{ r}}} \\\\\\\ [x-6]^2+[y-(-2)]^2=(\sqrt{45})^2\implies (x-6)^2+(y+2)^2=45](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bequation%20of%20a%20circle%7D%5C%5C%5C%5C%20%0A%28x-%7B%7B%20h%7D%7D%29%5E2%2B%28y-%7B%7B%20k%7D%7D%29%5E2%3D%7B%7B%20r%7D%7D%5E2%0A%5Cqquad%20%0Acenter~~%28%5Cstackrel%7B6%7D%7B%7B%7B%20h%7D%7D%7D%2C%5Cstackrel%7B-2%7D%7B%7B%7B%20k%7D%7D%7D%29%5Cqquad%20%5Cqquad%20%0Aradius%3D%5Cstackrel%7B%5Csqrt%7B45%7D%7D%7B%7B%7B%20r%7D%7D%7D%0A%5C%5C%5C%5C%5C%5C%5C%0A%5Bx-6%5D%5E2%2B%5By-%28-2%29%5D%5E2%3D%28%5Csqrt%7B45%7D%29%5E2%5Cimplies%20%28x-6%29%5E2%2B%28y%2B2%29%5E2%3D45)
For the answer to the question above,First 2+3x= 18
3x= 18-2
3x= 16
X= 16/3
Let's try to check: 2+ 3(16/3)= 18
2 + 16= <u><em>18</em></u>
The answer is for this question is <u><em>16/3 or 5 1/3.</em></u>
I hope my answer helped you. Have a nice day!
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