Answer:
a) -5/4
Step-by-step explanation:
Slope is fundamentally rise/run; The points on the line are relative to each other by decreasing/increasing the y-value of +/-5 and decreasing/increasing the x-value by +/-4
The function is decreasing so the slope has to be negative.
The only possible answer choice is -5/4 or a.
The total amount of money accrued ( principal and interest ) in 35 years is $570.78.
<h3>What is the total amount accrued?</h3>
The formula for compound interest is expressed as;
A = P( 1 + r/t )^(n×t)
Given the data in the question;
- Principal P = $200
- Rate r = 3% = 3/100 = 0.03
- Compounded monthly n = 12
- Time t = 35
- Amount accrued in 35 years A = ?
Plug the given values into the equation above.
A = P( 1 + r/n )^(n×t)
A = 200( 1 + 0.03/12 )^(12×35)
A = 200( 1 + 0.0025 )^(420)
A = 200( 1.0025 )^(420)
A = 200( 2.85390914 )
A = $570.78
Therefore, the total amount of money accrued ( principal and interest ) in 35 years is $570.78.
Learn more about compound interest here: brainly.com/question/27128740
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37.5 gallons of milk, you welcome.
Answer:
square inches.
Step-by-step explanation:
<h3>Area of the Inscribed Hexagon</h3>
Refer to the first diagram attached. This inscribed regular hexagon can be split into six equilateral triangles. The length of each side of these triangle will be 
inches (same as the length of each side of the regular hexagon.)
Refer to the second attachment for one of these equilateral triangles.
Let segment 
be a height on side 
. Since this triangle is equilateral, the size of each internal angle will be 
. The length of segment
.
The area (in square inches) of this equilateral triangle will be:
.
Note that the inscribed hexagon in this question is made up of six equilateral triangles like this one. Therefore, the area (in square inches) of this hexagon will be:
.
<h3>Area of of the circle that is not covered</h3>
Refer to the first diagram. The length of each side of these equilateral triangles is the same as the radius of the circle. Since the length of one such side is inches, the radius of this circle will also be inches.
The area (in square inches) of a circle of radius inches is:
.
The area (in square inches) of the circle that the hexagon did not cover would be:
.
