Answer:
Θ = 46°
Step-by-step explanation:
the angle between a tangent and a radius at the point of contact is 90° , so
∠ ABO = 90°
since OB = OD ( radii of circle ) then Δ BOD is isosceles and
∠ OBD = ∠ ODB = 22°
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ AOB is an exterior angle of the triangle , then
∠ AOB = 22° + 22° = 44°
the sum of the 3 angles in Δ AOB = 180° , then
Θ + 44° + 90° = 180°
Θ + 134° = 180° ( subtract 134° from both sides )
Θ = 46°
Interest depends a lot on the compounding period.
Since the period is exactly 4 months, we assume
APR=8%
monthly interest=8/12%=0.00666667
Interest due in 4 months
=7000[(1+0.08/12)^4-1]
=7000[0.0269345]
=$188.54
Answer:
C. 4 weeks
Step-by-step explanation:
Trish and Aria are walking to raise money for the school library. Trish has walked 38 miles and walks 10 miles each week. Aria has walked 30 miles and walks 12 miles each week
After how many weeks will Trish and Aria have walked the same number of miles? A. 2 weeks B. 3 weeks C. 4 weeks D. 5 weeks
Trish = 38 + 10x
Aria = 30 + 12x
Where,
x = number of weeks
After how many weeks will Trish and Aria have walked the same number of miles?
Equate both equations
38 + 10x = 30 + 12x
38 - 30 = 12x - 10x
8 = 2x
x = 8/2
x = 4 weeks
