X^2+y^2 = 16
can be written as
(x-0)^2+(y-0)^2 = 4^2
We see that the second equation is in the form
(x-h)^2 + (y-k)^2 = r^2
where
(h,k) = (0,0) is the center
r = 4 is the radius
The polar form of the equation is simply r = 4. Why is this? Because the radius is fixed to be 4 no matter what happens with theta. As theta goes from 0 to 360, the points generated all form a circle centered at (0,0) with radius 4.
Answer: r = 4
The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.
Step-by-step explanation:
The given is,
Future value, F = $15,000
Interest, i = 5.9%
( compounded continuously )
Period, t = 12 years
Step:1
Formula to calculate the present with compounded continuously,
...............(1)
Substitute the values in equation (1) to find the P value,
( ∵
)

( ∵
)
We change the P (Present value) into the left side,


≅ 7389.43
P = $ 7389.43
Result:
The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.
Answer:
Perimeter of the paperboard that remains after the semicircle is removed = 94.26 in
Step-by-step explanation:
Watch the attached figure of how the semi circle is cut out of the rectangular paperboard.
Length = 24 in
Width = 18 in
Radius of the semi circle = Half of the width of the paperboard =
= 9 in
1) Circumference of the semi circle = π*radius
= 3.14*9
= 28.26 in
2) Perimeter of the paperboard that remains after the semicircle is removed
= Top + Left + Bottom + Right Circumference of the semi circle
= 24 + 18 + 24 + 28.26
= 94.26 in
Answer:
Water and alcohol
Step-by-step explanation:
They are both a clear liquid. However, their properties are very different. Here are a few of the things that set them apart.
- their smell
- their PH
- their density