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Show your work in the attachment. Down below
Given the equation A (x) = 30 x 8.3 ^x, we can get the
initial amount of A when x is equal to zero. Therefore:
A (0) = 30 * 8.3^0
A (0) = 30
In this case the equation grows by 8.3 times as x increases.
Therefore the growth factor is 8.3.
Answers:
initial amount = 30
growth factor = 8.3
The answers are not in the given choices. I believe you are
giving the wrong equation. If the correct equation here is:
A (x) = 680 x 4.3 ^x
Then the answers are:
initial amount = 680
growth factor = 4.3
The answers are now in the choices given.
Answer:
90 sq inches
Step-by-step explanation:
The lateral area is the side area of the pyramid. In this case, there are 3 sides because the base is a triangle. Since the base is an equilateral triangle, all sides are of equal dimensions. So, the sides of the pyramid are also all of the same size, area.
We then just have to figure out the area of one of the side triangles, then multiply it by 3 to get the total lateral area of that pyramid.
We know how to calculate the area of a triangle: A = (b * h)/2
In this case, b = 5 in, h = 12 in. So,
TA = (5 * 12)/2 = 60 / 2 = 30
Each side triangle has an area of 30 sq inches.
LA = 3 * TA (since there are 3 sides)
LA = 3 * 30 = 90 sq inches
The statement C is true about the proportional relationship that is modeled by Peter’s equation. Peter walks at a rate of 13/4 miles per hour.
<h3>What is the equation?</h3>
A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
The complete question is
"Peter uses the equation Y=13/4x to model the number of miles that he has walked in x hours. Which statement is true about the proportional relationship that is modeled by the peat there's the equation?
A: Peter walks a rate of 4/13 miles per hour.
B: Peter walks at a rate of 4 miles per hour.
C: Peter walks at a rate of 13/4 miles per hour.
D: Peter walks at a rate of 13 miles per hour."
Given equation;
Y=13/4x
Where,
y represents the number of miles
x is the time period
The equation shows Peter walks at a rate of 13/4 miles per hour.
Hence statement C is true about the proportional relationship that is modeled by Peter’s equation.
To learn more, about equations, refer;
brainly.com/question/10413253
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