Answer:

Step-by-step explanation:
The Simple Interest Equation is 
where
A = Total Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
t = Time Period involved in months or years
In this case, we do not know the values of the equation (A and P), but we know the amount of interest accrued
If we define our principal whit this formula, we are able to know the rest of the values:

clearing

replacing

Solving





36, because 6^4 /6^2 is 6^2 and 6*6 (6^2) is 36
Answer: 19 feet
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Tan α = opposite side / adjacent side
Where α is the angle of depression of the dog, the opposite side (16) is Ted's eye level above the ground, and the adjacent side (x) is the distance between the dog and the barn door.
Replacing with the values given:
tan40 = 16/x
Solving for x
x =16/tan40
x= 19 ft
Feel free to ask for more if needed or if you did not understand something.
<span>Triangles exist:
</span>3 acute angles<span>
2 acute angles, 1 right angle
</span><span>2 acute angles, 1 obtuse angle
</span>
Triangles DON'T exist for:
<span>1 acute angle, 1 right angle, 1 obtuse angle
</span><span>1 acute angle, 2 obtuse angles</span>