Step-by-step explanation:
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Answer:
60°, 120°, 180°, 240° and 300°
Step-by-step explanation:
In case of a regular hexagon, there is a set of six movements to complete its one rotation. Now in one rotation, it will complete 360° of its circular motion. Now the formula to calculate the angle of rotation for any shape with equal length of its sides is:
Angle of rotation (Ф) = 360/Total number of sides
In this case, Ф = 360/6
Ф = 60
This formula is valid for every shape with equal sides, like in case of pentagon you will have 360/5 to calculate the angle of rotation.
Now in case of hexagon, at rotation of 60°, its rotation is symmetrical, which means rotation will not change its physical appearance, this is the case for next 60° rotation as well, or you can say that for 120° (60° before and 60° afterwards). This suit will follow for all the angles given in the answer section.
Step-by-step explanation:
The answer is D.
Answer:
A: 96
Step-by-step explanation:
Multiply 12 by 8.
Answer:
a. Present value of a lump sum =
PV = FV / ( 1 + i )ⁿ
b. Present value of an annuity =
P = PMT x ((1 – (1 / (1 + r)⁻ⁿ )) / r)
Step-by-step explanation:
a. Present Value of a Lump sum =
PV = FV / ( 1 + i )ⁿ
Where variables in the formula are explained as follows
PV = Present Value of the given amount today
FV = Future Value of the given amount
i = Discount rate
n = Number of periods
b. Present value of an annuity is given as:
P = PMT x ((1 – (1 / (1 + r)⁻ⁿ)) / r)
The variables in the equation are explained as the follows:
P = the present value of annuity
PMT = Payment per period or the amount in each annuity payment
r = the interest or discount rate
n = total number of periods or the number of payments left to receive
