Answer:
the value of the home after 12 years =$275,165.60
Step-by-step explanation:
To find value of appreciation after 12 years
We apply exponential growth formula

Where a represents the initial amount (purchased amount)
a= 182,100
r = rate of interest ( appreciation percentage) = 3.5% = 0.035
x represents the time period= 12 years
Plug in all the values


y= 275165.6025027724
y=$275165.60
-4=w-6
-4+6=w
2=w
Therefore, w equals 2.
Answer:
x ≈ 15.0 ft
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Trigonometry</u>
- tan∅ = opposite over adjacent
Step-by-step explanation:
<u>Step 1: Define</u>
Angle = 28°
Opposite leg of angle = 8 ft
Adjacent leg of angle = x ft
<u>Step 2: Find </u><em><u>x</u></em>
- Substitute: tan28° = 8/x
- Multiply <em>x </em>on both sides: xtan28° = 8
- Divide tan28° on both sides: x = 8/tan28°
- Evaluate: x = 15.0458
- Round: x ≈ 15.0 ft
Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
Part 1) Find the area
we know that
The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle
so

we have that the base and the height of triangle is equal to the radius of the circle

substitute

simplify
Factor 36

Part 2) Find the perimeter
The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle
The circumference of a quarter of circle is equal to

substitute the given values

Applying the Pythagorean Theorem
The hypotenuse of right triangle is equal to

simplify

Find the perimeter

simplify
Factor 6

The answer is d
explanation: its right in between 50 and 60 making it 55, and the picture is showing it as an angle.