Answer:
Option A. 356 gidgets
Step-by-step explanation:
we have
R(x) ----> the monthly revenue function
C(x) ---> the monthly cost function
x ----> the number of gidgets sold


we know that
Break-even means that the revenue equals cost
so

solve for x



1. The growth rate equation has a general form of:
y = A (r)^t
The function is growth when r≥1, and it is a decay when
r<1. Therefore:
y=200(0.5)^2t -->
Decay
y=1/2(2.5)^t/6 -->
Growth
y=(0.65)^t/4 -->
Decay
2. We rewrite the given equation (1/3)^d−5 = 81
Take the log of both sides:
(d – 5) log(1/3) = log 81
d – 5 = log 81 / log(1/3)
d – 5 = - 4
Multiply both sides by negative 1:
- d + 5 = 4
So the answer is D
Step-by-step explanation:
Perimeter = 2 * (Side A + Side B)
= 2 * (3x + 2 + x - 5)
= 2 * (4x - 3)
= 8x - 6.
We have 8x - 6 = 50, so 8x = 56 and x = 7.
Length of rectangle = 3(7) + 2 = 23.
Width of rectangle = (7) - 5 = 2.
There are 14 positions. There are 266 choices for the first juror, 265 for the second, 264 for the third, etc. 266*265*264*...*252=<span>5.93893009829e+33, or about 6,000,000,000,000,000,000,000,000,000,000,000 complete juries. Hope this helps!</span>
Answer:
<h2> 112.3 square units</h2>
Step-by-step explanation:
Find the sketch of the triangle attached.
Area of the triangle = 
Given PQ = 20, PR = 12 and ∠QPR = 68°
Area of the triangle = 1/2 * 20 * 12 * sin68°
Area of the triangle = 120sin68°
Area of the triangle = 112.26 square units
Area of the triangle ≈ 112.3 square units (to the nearest tenth of a square unit)