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:
option c : k = 8
Step-by-step explanation:
Given ( x+ 2 ) is a factor of f(x) , that is f( -2 ) = 0
![f(x) = x^3 -9x^2 + kx + 6 0\\\\f(-2) =0\\\\(-2)^3 - 9(-2^2) + k (-2) + 60 = 0\\\\-8 - 36 -2k + 60 = 0\\\\-2k + 16 = 0\\\\-2k = -16\\\\k = \frac{-16}{-2} = 8](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E3%20-9x%5E2%20%2B%20kx%20%2B%206%200%5C%5C%5C%5Cf%28-2%29%20%3D0%5C%5C%5C%5C%28-2%29%5E3%20-%209%28-2%5E2%29%20%2B%20k%20%28-2%29%20%2B%2060%20%3D%200%5C%5C%5C%5C-8%20-%2036%20-2k%20%2B%2060%20%3D%200%5C%5C%5C%5C-2k%20%2B%2016%20%3D%200%5C%5C%5C%5C-2k%20%3D%20-16%5C%5C%5C%5Ck%20%3D%20%5Cfrac%7B-16%7D%7B-2%7D%20%3D%208)
The equation of the line is y=(4/5)x+1 in slope-intercept form.
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![▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪](https://tex.z-dn.net/?f=%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%20%20%7B%5Chuge%5Cmathfrak%7BAnswer%7D%7D%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA)
</h3>
The Correct choice is :
<h3><u>Explanation</u> :</h3>
As per given in the question, both the lines are parallel so they have equal slopes. that is slope of required line is :
now, let's use slope and the coordinates of the given points to find the equation of line in point - slope form :
therefore , the correct choice is A