Lexi borrowed $425 and paid back $450, so the interest paid was $25 (subtract 450 and 425). Then divide the interest over the expression P*t = 425*0.5 = 212.5 to get 25/212.5 = 0.1176 approximately which converts to the annual interest rate of 11.76% (approximately).
If you want to use a formula, then,
i = P*r*t
25 = 425*r*0.5 <---- t = 0.5 to represent half a year
25 = 4250.5*r
25 = 212.5*r
212.5*r = 25
r = 25/212.5
r = 0.1176
r = 11.76%
Answer:
The mean value theorem is valid if f(x) is continuous in the interval (0,3) and differentiable in the interval (0,3), the problem is that f(x)=2−|4x−2| is not differentiable in x = 1/2 because 4*1/2 - 2 = 0 and the function |x| is not differentiable in x = 0.
f'(x) = (-4)*(4x−2)/|4x−2|
f(3) = 2−|4*3−2| = 8
f(0) = 2−|4*0−2| = 0
Replacing in f'(c) = f(3)−f(0)/(3−0)
(-4)*(4c−2)/|4c−2| = (8 - 0)/3
(-4)*(4c−2)*3/8 = |4c−2|
-3/2*4c + 3/2*2 = |4c−2|
-6c + 3 = |4c−2|
That gives us two options
-6c + 3 = 4c−2
5 = 10c
1/2 = c
or
6c - 3 = 4c−2
-1 = -2c
1/2 = c
But f'(1/2) is not defined, therefore there is no value of c such that f(3)−f(0)=f'(c)(3−0).
Answer: 1: x^2 + 25 = 0 x=5
2: x^2 - 11x + 28 = 0 x=7 i think
3: x^2 + 8x + 16 = 0 x=-4
Step-by-step explanation:
30 70 90 are the angles of the triangle hope this is helpful
Answer:
B.) the number of tents the army orders
Step-by-step explanation:
The word problem does not speak of any prices or tent sizes so it cant be A or C
