Answer:
15years
Step-by-step explanation:
Given data
Rate= 9%
Principal= $2000
Final amount= $4700
The simple interest formula is given as
A= P(1+rt)
Substitute
4700=2000(1+0.09*t)
4700= 2000+ 180t
4700-2000= 180t
2700=180t
t= 2700/180
t= 15 years
Hence the time is 15years
√36 = 6
√49 = 7
√45 is between 6 and 7
so √45 must be less than 7 but close to 7
Estimate answer is C.
Answer:
The angles do not have the same reference angle.
Step-by-step explanation:
1) Angle 5π / 3 radians:
Convert radians to degrees: 5π/3 × 180° / π = 300°
300° is in the fourth quadrant
The reference angle for angles in the fourth quadrant is 360° - angle ⇒ 360° - 300° = 60°.
∴ The reference angle for this angle is 60°.
2) Angle 5π / 6 radians:
Convert radians to degrees: 5π/6 × 180° / π = 150°
150° is in the second quadrant
The reference angle for angles in the second quadrant is 180° - angle ⇒ 180° - 150° = 30°.
∴ The reference angle for this angle is 30°.
3) Conclusion:
Since the reference angles are different, the tangent ratios have different values.
tan (5π/3) = - tan(60°) = - √3
tan (5π/6) = - tan(30°) = - (√3)/3
Note that the tangent is negative in both second and fourth quadrants.
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3x + 15 = 66
<u> -15 -15</u>
3x = 51
Divide 51 by 3 which equals 17.
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