See photo for complete solution
The "horizontal" distance is 8-2 = 6.
The "vertical" distance is 7-3 = 4.
The Pythagorean theorem tells you the straight line distance is then
√(6² + 4²) = √52 = 2√13 ≈ 7.21
Since simple interest doesn't involve compounding, the same amount gets added on every year. So, the equation for the simple interest received is

, where

is the total interest,

is the original deposit (or "principal"),

is the interest rate, and

is the time passed in years.
Plugging in our values, we can solve for the interest rate:



Answer:
- 4 - 5i
Step-by-step explanation:
The centre of the circle is the average of the endpoints
centre = (- 2 + i - 6 - 11i ) ÷ 2
= (- 8 - 10i ) ÷ 2
= - 4 - 5i
As the angle is greater than 0° and less than 90°, then the angle ABC is acute. (Answer: A)
<h3>How to determine the features of an angle set on Cartesian plane</h3>
Herein we find the locations of the three vertices of the figure, of which we must determine the lengths of the two sides of the angle and determine the value of the angle by trigonometry:
BA = 5, BC = 2
θ = tan⁻¹ (BA / BC)
θ = tan⁻¹ (5 / 2)
θ ≈ 68.199°
As the angle is greater than 0° and less than 90°, then the angle ABC is acute. (Answer: A)
To learn more on acute angles: brainly.com/question/2761036
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