Answer:
Area of the regular dodecagon inscribed in a circle will be 27 square units.
Step-by-step explanation:
A regular dodecagon is the structure has twelve sides and 12 isosceles triangles inscribed in a circle as shown in the figure attached.
Since angle formed at the center by a polygon = 
Therefore, angle at the center of a dodecagon =
= 30°
Since one of it's vertex is (3, 0) therefore, one side of the triangle formed or radius of the circle = 3 units
Now area of a small triangle = 
where a and b are the sides of the triangle and θ is the angle between them.
Now area of the small triangle = 
= 
Area of dodecagon = 12×area of the small triangle
= 12×
= 27 unit²
Therefore, area of the regular octagon is 27 square unit.
Answer:

Step-by-step explanation:
From the Question we are told that
Borrows $65,000
Annual interest 8.5%
Monthly repayment over 8 years
Generally PV of annuity with growth is mathematically represented as
where PV is present value
PV of annuity with growth X= 







Answer:
$3.94
Step-by-step explanation:
You will need to use the compound interest formula for this.

P = initial balance
r = interest rate
n = number of times compounded annually
t = time
Your equation will look like this:
= 3.94
R=d/t
15/8=7/8 divided by t
so t=7/8 divided by 15/8
t=7/15
convert to minute
so 7/15*60=28 min is answer
message does it help u
Step-by-step explanation:
Let the number Noah is thinking of be x,
=> x - 19 * 4 = 16
=> x - 19 = 16/4
=> x = 16/4 + 19
=> x = 4 + 19
=> x = 23
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