Answer:
there monthly budget is $4000
Step-by-step explanation:
if 600 is 15% then there is 85% of there budget left so in order to find how much is 1% then 600/15=40 so $40 = 1% so 1%x100=100% and 40x100=4000 so 100% of there budget is $4000
hope this helps have a blessed day :)
First, let's put the second equation, <span>x-2.23y+10.34=0, in terms of y:
x - 2.23y +10.34 = 0
2.23y = x + 10.34
y = .45x + 4.64
Now we can substitute the right side of this equation for y in the first equation
</span><span>y=2x^2+8x
.45x + 4.64 = 2x^2 + 8x
Turn it into a quadratic by getting 0 on one side:
2x^2 + 8x - .45x - 4.64 = 0
2x^2 + 7.55x - 4.64 = 0 Divide both sides by 2
x^2 + 3.76x - 2.32 = 0
x =( -b +/- </span>√(b² - 4ac) ) / 2a
x =( -3.76 +/- √(14.14 + 9.28)) ÷ 2
x = .54 or -4.31
Plug the x values into y = .45x + 4.64
y = .45 (.54) + 4.64
y = 4.88 when x= .54
y = .45 (-4.31) + 4.64
y = 2.70 when x= -4.31
Solution set:
{ (0.54, 4.88) , (-4.31, 2.70) }
<span>A = pi r^2
dA/dt = 2 pi r dr/dt
dr/dt = 15 cm/s
a) r = 30
dA/dt = 2 pi (30) (15) = 900 pi cm^2/s
b)
A = 9 = pi r^2
r = 3 / sqrt(pi)
dA/dt = 2 pi( 3/sqrt(pi)) (15) = 90 sqrt(pi) cm^2/s</span><span>
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