★ Sigma Operator ★
Option C is the correct answer of the above summation series
Description -
Upper limit of sigma - ∞ [ where to stop ]
Lower Limit - 10 [ Where to start ]
Argument = n²
Hence we'll obtain - 100 + 121 + ... ∞
Answer:
a. rotation; then reflection across x
Step-by-step explanation:
The transformation shown is a reflection across the y-axis.
The first part of each answer choice is a rotation 180°. That rotation is fully equivalent to reflection across both the x- and y-axes, in either order. In order to have a net effect of reflection across the y-axis, the reflection across the x-axis must be cancelled--by another reflection across the x-axis.
The reflection across y shown is equivalent to ...
rotation 180° followed by reflection across the x-axis.
Square root of 100 is rational.
T = 40000 + 40000(1.03) + 40000(1.03)^2 + ... + 40000(1.03)^15
Multiply the above equation by 1.03 giving
1.03(T) = 40000(1.03) + 40000(1.03)^2 + 40000(1.03)^3 + ... + 40000(1.03)^15 + 40000(1.03)^16
Now subtract the first equation from the second to give
0.03T = 40000(1.03)^16 - 40000
0.03T = 40000(1.03^16 - 1)
0.03T = 24188.26
T = 24188.26 / 0.03 = $806275.25
Answer:
x = -6
Step-by-step explanation:
8 + 4x = -16
4x = -16 - 8
4x = -24
x = -24/4
x = -6
