X is less than or equal to $30, she can spend $30, she cant spend more, she can spend less.
The answer should look like X<30 with a line under the less than sign, i hope this helps.
Vertical angles are equal
4x = 45 + 15
4x = 60
x = 60/4
x = 15
The volume would be 0.9 x 4.2
This means it is 90% smaller
Don't forget to round the nearest tenth place. That's the first decimal, so you answer should only have 2 digits.
First: the homogeneous solutions: the characteristic equation is4r^2 - 4r - 3 = 0which has roots r = 3/2, -1/2 hence the homogeneous solution isy = c1.exp(-x/2) + c2.exp(3x/2)
next you need the general form for the guess for yp and that isyp = A1cos(2x) + A2sin(2x)
Now substitute that into the equation and solve for A1, A2.
