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°
Answer:
f(x) = 500(1/2)^x
Did this end up in the wrong category lol
Answer:
1.49
Step-by-step explanation:
50% of 2.98 is 1.49
Condition 1:
Loan amount is = $100000
Rate of interest = 6%
Time period is = 15 years
Monthly payment amount = $843
Condition 2:
Loan amount = $100000
Rate of interest = 7.5%
Time period is = 18 years
Monthly payment = Lets suppose this is the same $843.
Lets suppose no reducing method is applied on both conditions.
So in 15 years the amount to be paid will be = 180*843 = $151740
In 18 years the amount becomes = 216*843 = $182088
So the interest amount paid in the second condition is higher than the amount paid in first condition.
Hence, paying off a loan early will result in paying less interest amount paid for the loan.
