Determine if the lines going through the given points are parallel.
1 answer:
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Answer:
Step-by-step explanation:
To solve this problem we first need to find the diameter of the circle. We are told the point is the circle, so we can assume it is the center of the circle. To find the diameter we can use the Pythagorean Theorem:
The diameter is units, which means the radius is
. From here we can calculate the area of the circle:
Now we need to subtract the area of the triangle from the area of the circle. Calculate the area of the triangle:
Subtract the triangle area from the circle area to get the area of the shaded area:
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