Answer:
The principal amount was $23,393.45
Step-by-step explanation:
The total amount paid on a 35 year loan was $98,000 at the rate of interest 4.1%
We will calculate Principal amount by this formula
Where A = amount (98,000)
P = Principal amount (P)
r = rate of interest 4.1% (0.041)
n = number of compounding interest monthly (12)
t = time (35 years)
98,000 = P(4.189386)
= 4.189386P = 98,000
P = 
P = 23,392.4494 ≈ $23,392.45
The principal amount was $23,393.45
For this case what you should do is use the following trigonometric relationship
senx = (1200) / (2400)
senx = 0.5
Clearing the angle we have
x = ASIN (0.5)
x = 30
Answer:
The angle of elevation from the base to the top of the mountain is 30 °
Let stadium 1 be the one on the left and stadium 2 the one on the right.
Angle above stadium 1 is 72.9° and the angle above stadium 2 is 34.1° using the angle property of alternate angles(because both the ground and the dotted line are parallel).
For the next part we need to use the trigonometric function of tangent.
As tan x = opposite / adjacent,
Tan 72.9°=1500/ adjacent ( the ground from O to stadium 1)
Therefore the adjacent is 1500/tan 72.9°= 461.46 m( to 5 s.f.)
Same for the next angle,
Tan 34.1°=1500/ adjacent ( the ground from O to stadium 2)
Therefore, the adjacent is 1500/tan 34.1° = 2215.49 m (to 5 s.f.)
Thus, the distance between both stadiums is 2215.49-461.46= 1754.03 m
Correcting the answer to whole number gives you 1754 m which is the option C.
Answer:
$24.09
Step-by-step explanation:
you do 984.20-381.80=602.4
then divide 602.4 by 1/4
which 1/4=25.
then you get $24.09
