Answer:
The answer is the CD was for 3 years.
Step-by-step explanation:
First, write the equation.
I=Prt
Next, substitute the given values.
$198=$1,200×5.5%×t
Next, write the percent as a decimal.
$198=$1,200×0.055×t
Next, simplify.
$198=$66×t
Then, solve for t.
3=t
Answer:
Exponential Growth, 1200(1.15)
Step-by-step explanation:
It is a Growth function because it is "increasing" yearly. The equation is multiplying with 1.15 because when it is increasing, you need to add 1 to the percentage rate.
Answer:
x = 14
JHK = 21
Step-by-step explanation:
The angles are vertical angles and vertical angles are equal
3x-21 = x+7
Subtract x from each side
3x-x -21 = x+7-x
2x-21 = 7
Add 21 to each side
2x-21+21 = 7+21
2x = 28
Divide by 2
2x/2 =28/2
x = 14
JHK = 3x-21 = 3(14) -21 = 42-21 = 21
Answer:
- X = 70°
- arc ZY = 140°
- arc XY = 82°
Step-by-step explanation:
The angle sum theorem helps you compute the angle inside the triangle. The inscribed angle theorem helps you compute the arc measures outside the triangle.
<h3>Theorems</h3>
The Angle Sum theorem tells you the sum of angles in a triangle is 180°. That lets you write the equation ...
X +Y +Z = 180°
X +69° +41° = 180°
The Inscribed Angle theorem tells you an inscribed angle has half the measure of the central angle subtending the same arc. The arc and the central angle have the same measure: twice that of the inscribed angle.
arc ZY = 2×∠X
arc XY = 2×∠Z
<h3>Solutions</h3>
Using the equations we wrote describing the relationships of the unknowns to the known information, we find ...
X = 180° -110° = 70°
arc ZY = 2×70° = 140°
arc XY = 2×41° = 82°
Answer:
q = 6/13, p = 35/13
Step-by-step explanation:
3p + 2q = 9
2p - 3q = 4
_________ (subtract the two equation from each other.)
p + 5q = 5
p = 5 - 5q
2(5 - 5q) - 3q = 4 (substitute value of p into equation)
10 - 10q - 3q = 4
10 - 13q = 4
-13q = -6
<u>q = 6/13</u>
3p + 2(6/13) = 9 (substitute value of q into equation)
3p + 12/13 = 9
3p = 105/13
<u>p = 35/13</u>
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