Given that the value of an industrial machine has a decay factor of 0.75 per year, and after six years, it became $7,500 only, this would mean that the original value of the machine would be solved like this: <span>7500 = x(1-.75)^6
</span>7500 = x(0.25)^6
7500 = x(<span>0.00024414062)
7500 = </span><span>0.00024414062x
x = </span><span>30, 720, 000
Hope this answers your question.</span>
If i is a zero of the polynomial, then the factor is (x - i). Because of the conjugate rule, it is understood that one other root of the polynomial HAS to be (x + i). So that's one other root. The other 2 roots are (1 + 6i) and (1 - 6i).
Answer:
The table represents function f, and the graph represents function g.
Over the interval [2, 4], the average rate of change of function fis
the average rate of change of function g.
Answer:
2. C) 21.2 yd 3. B) angle IQL 4. B) 55 degree
Step-by-step explanation:
2. The area of an equilateral triangle is given by,
A = 
------(1) where a = length of each side.
Here, a = 7 yd
so , putting a = 7 yd in (1) , we get,
A = 
sq. yd.
sq. yd.
3. B) angle IQL
4. Let, the centre of the circle be at O,
then, ∠DOB = 105° and ∠BOC = 145° (given)
so, ∠OBD = 
= 
= 37.5° [since the sum of three angles of a triangle is 180° and OB and OD are two radii of the same circle]
and, similarly, ∠OBC = 
= 
= 17.5° [since the sum of three angles of a triangle is 180° and OB and OC are two radii of the same circle]
so, ∠CBD = ∠OBD + ∠OBC
= 37.5° + 17.5°
= 55°
Answer:
x = 13, y = 26, z = 5
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , then
2x + 110 + 44 = 180
2x + 154 = 180 ( subtract 154 from both sides )
2x = 26 ( divide both sides by 2 )
x = 13
------------------------
2x and y are alternate angles and congruent , so
y = 2x = 2(13) = 26
--------------------------------
The opposite sides of a parallelogram are equal
3z - 1 = 14 ( add 1 to both sides )
3z = 15 ( divide both sides by 3 )
z = 5
