Consider that,
x^2+4x+4 = (x+2)(x+2)
x^2+7x+10 = (x+2)(x+5)
Dividing those expressions leads to
(x^2+4x+4)/(x^2+7x+10) = (x+2)/(x+5)
The intermediate step that happened is that we have (x+2)(x+2) all over (x+2)(x+5), then we have a pair of (x+2) terms cancel as the diagram indicates (see below). This is where the removable discontinuity happens. Specifically when x = -2. Plugging x = -2 into (x+2)/(x+5) produces an output, but it doesn't do the same for the original ratio of quadratics. So we must remove x = -2 from the domain.
So discount means taken off
we find 15% of 199 and subtract from 199
% means parts out of 100 so 15%=15/100=1.5/10=.15/1=0.15
'of' means multiply
15% of 199=0.15 times 199=29.85
discount so 199-29.85=169.15
answer is $169.15
Answer: I assume the radius is 1/2 the base of 6 in.
r = 3 ft
h = 10 ft
s = 10.4403 ft
V = 94.2478 ft³
L = 98.3976 ft²
B = 28.2743 ft²
A = 126.672 ft²
r = radius
h = height
s = slant height
V = volume
L = lateral surface area
<span>B = base surface area </span>
A = total surface area
π<span> = pi = 3.14159</span>
<span>√ = square root</span>
Answer:
Tax: $3.06
Step-by-step explanation:
7% of 43.75 = 0.07 × 43.75 = 3.0625
43.75 increase 7% =
43.75 × (1 + 7%) = 43.75 × (1 + 0.07) = 46.8125
Radio: $43.75
Tax: $3.06
Total: $46.81
