To find coterminal angles for an angle, β, given in radians use the following formula:
coterminal angle = β + 2πk
where k is an integer {..., -3, -2, -1, 0, 1, 2, 3, ...}
Negative Coterminal Angle: k = -1
NCA = π/5 + 2π(-1)
= -9π/5
Positive Coterminal Angle: k = 1
PCA = π/5 + 2π(1)
= 11π/5
The following answers are just one of many possible answer... you have infinite number of choices for k.
Answer:
16%
Step-by-step explanation:
To solve this we are using the standard growth equation:
Were
is the final value after years
is the initial value
is the growth factor (yearly rate of appreciation in our case) in decimal form
is the time in years
We know from our problem that gold coin appreciated in value from $200.00 to $475.00 in 6 years, so , , and .
Let's replace the values in our equation and solve for :
which rounds to
Since our appreciation rate is in decimal form, we need to multiply it by 100% to express it as percentage:
0.16*100% = 16%
We can conclude that the yearly appreciation rate of our gold coin is approximately 16%
You have to multiply and divide the 20% time the 30
9514 1404 393
Answer:
Step-by-step explanation:
Let x represent the amount invested at 13%. Then (3x+199) is the amount invested at 12%. The total interest earned in 1 year is ...
(13%)(x) +(12%)(3x+199) = 1561.50
0.49x +23.88 = 1561.50 . . . . simplify
0.49x = 1537.62 . . . . . . . . . . subtract 23.88
x = 3138 . . . . . . . . . . . . . . . . divide by 0.49
3x+199 = 9613
$3138 was invested at 13%; $9613 was invested at 12%.
Answer:
and do not lie on the line
Step-by-step explanation:
Given
Required
Determine which points that are not on the line
First, we need to determine the slope (m) of the line:
Where
So;
Next, we determine the line equation using:
Where
becomes
To determine which point is on the line, we simply plug in the values of x to in the equation check.
For
and
Substitute 4 for x and 2 for y in
<em>This point is on the graph</em>
<em></em>
For
and
Substitute 4 for x and 3 for y in
<em>This point is not on the graph</em>
<em></em>
For
and
Substitute 7 for x and 2 for y in
<em></em>
<em>This point is not on the graph</em>
<em></em>
<em></em><em></em>
<em></em> and<em> </em><em></em>
<em>Substitute </em><em> for x and </em><em> for y in </em><em></em>
<em></em><em></em>
<em></em><em></em>
<em></em><em></em>
<em></em><em></em>
<em></em>
<em>This point is on the graph</em>