Move k to the other side to isolate d.
So we will get 3d = 8c - 8d - k
Now divide both sides by 3 to isolate d.
So d = 8/3c - 8/3d - k/3
The circumcenter is the center of the circle which goes through the triangle's vertices, so the circumcenter of the triangle and the center of that circumscribed circle MUST be the same point.
The same goes for the incenter and the center of the inscribed circle, though these will not, in general, be the same point as the circumcenter.
Answer:
a) $3,571.02
b) $3,572.9
c) $3,573.74
Step-by-step explanation:
Data provided in the question:
p = $3000,
r = 3.5%,
t = 5 years
a) quarterly
number of periods in a year, n = 4
Interest rate per period = 3.5% ÷ 4 = 0.875%
Now,

A = total amount
n = number of times compounded per year
on substituting the respective values, we get
A = 3000 ×
A = 3000 × [/tex]\cdot { 1.00875 } ^ { 20 }[/tex]
A = 3000 × 1.19034
A = $3,571.02
b) monthly
number of periods in a year, n = 12
Now,
A = 
on substituting the respective values, we get
A = 3000 ×
A = 3000 × [/tex]\cdot { 1.002917} ^ { 60 }[/tex]
A = 3000 × 1.190967
A = $3,572.9
c) continuously
A = 
on substituting the respective values, we get
A = 3,000 × 
or
A = 3,000 × 
or
A = 3,000 × 1.1912
or
A = $3,573.74
Answer: 793 mi/h
Step-by-step explanation:
We have the following data:
is Earth radius at the 40th parallel of north latitude
is the Earth's angular velocity (toward the east)
is the Jet's angular velocity (toward due west)
And we need to find the Jet's speed
, which is calculated by:


