we know that
The formula of simple interest is equal to
In this problem
we have
I=$170
P=$8,500
r=4%=4/100=0.04
t=?
substitute given values in the formula
therefore
0.5 years=6 months
<h2>The answer is 6 months</h2>
Get the x terms by themselves on one side and a constant on the other side of the equal sign...
4x^2-8x=1 make the leading coefficient equal to one...
x^2-2x=1/4 now halve the linear coefficient, -2 in this case, square it, and add that value to both sides of the equation...-2/2=-1, -1^2=1 so
x^2-2x+1=1+1/4
x^2-2x+1=5/4 now the left side is a perfect square...
(x-1)^2=5/4 take the square root of both sides...
x-1=±√(5/4) add 1 to both sides
x=1±√(5/4)
2x-6=52 x= alternative schools
2x=58
x=29
There are 29 alternative schools in the county.
Answer:
Step-by-step explanation:
y = 1/3x + 6
y = 1/4x + 3
this is just a matter of substitution...subbing in one y for the other
y = 1/3x + 6.....so sub in 1/3x + 6 in for y, back into the second equation or u can work it the other way and sub in 1/4x + 3 in for y, back into the first equation....either way will work
1/3x + 6 = 1/4x + 3
1/3x - 1/4x = 3 - 6
4/12x - 3/12x = -3
1/12x = -3
x = -3 * 12
x = - 36
now sub that back into either of ur original equations to find y
y = 1/3x + 6
y = 1/3(-36) + 6
y = - 12 + 6
y = - 6
solution is : x = -36 and y = -6 or (-36,-6)