Answer:
The equivalent expression would be;
S(t) = 86,400•3^t
Step-by-step explanation:
Here, we want to make a transformation
From what we have;
S(t) = 9,600(3)^(t + 2)
From indices, we know that;
x^(a + b) = x^a•x^b
Thus, we have it that;
S(t) = 9600•3^t•3^2
S(t) = (9 * 9600) * 3^t
S(t) = 86,400•3^t
Well the answer would be 12.5. I hoped that this helped. :)
Perimeter of the carpet = 21.8 m
Area of the carpet = 
<u>Given</u>:
<em>Dimension of the living room:</em>
<em />
<em>A. </em><em>Perimeter </em><em>of the carpet = perimeter of a </em><em>rectangle</em>
Perimeter = 
Substitute

Perimeter of the carpet = 21.8 m (The digits here are significant)
<em>B. </em><em>Area </em><em>of the carper = </em><em>area </em><em>of a </em><em>rectangle </em>
Area = 
Substitute

Area of the carpet =
(the digits here are significant)
Therefore, considering the rules of significant digits:
Perimeter of the carpet = 21.8 m
Area of the carpet = 
Learn more here:
brainly.com/question/12932084
The area of the composite figure from the image attached is 112.5 units²
<h3>What is the area of a composite figure?</h3>
The area of a composite figure refers to the sum total of all the areas of the shapes in that composite figure. This can be done by first identifying the shapes in that composite figure, then finding each area, followed by the addition of all the areas to determine the area of the composite figure.
From the given figure; we can break it down into:
- A parallelogram
- A rectangle
- A triangle
The area of a parallelogram = b × h
where;
- b & h refers to the length of the two opposite diagonal lines.
The area of a parallelogram = 9 × 6
The area of a parallelogram = 54 units²
The area of a rectangle = Length × breadth
The area of a rectangle = (9 × 3) units²
The area of a rectangle = 27 units²
The area of the triangle 
where;
The area of the triangle 
The area of the triangle 
The area of the triangle 
Therefore, the area of the composite figure is:
= 54 + 27 + 31.5
= 112.5 units²
Learn more about composite figures here:
brainly.com/question/15981553