Answer:
y = 2(1 + 0.12)ˣ
Step-by-step explanation:
Exponential functions look like y = a(b)ˣ.
"x" and "y" would be points that are on the graph.
"a" is the y-intercept.
"b" is the rate of growth.
<u>When "x" is positive</u> in the equation:
<u>"b" is greater than 1: exponential growth.</u>
"b" is greater than 0 but less than 1: exponential decay.
Simplify each equation inside the brackets to find "b":
y = 2(1 + 0.12)ˣ
y = 2(1.12)ˣ
<u>b = 1.12</u><u>; b > 1; exponential growth.</u>
y = 7(1 – 0.09)ˣ
y = 7(0.91)ˣ
b = 0.91; 0 < b < 1; decay
y = 0.63ˣ
b = 0.63; 0 < b < 1; decay
When "x" is negative (like in the last option):
b > 1 is exponential decay.
0 < b < 1 is exponential growth.
Since b = 2.42 when "x" is negative in the equation, y = 2.42⁻ˣ is a decay.
Answer:
Step-by-step explanation:
Not a clear list of options and/or reference frame
Probably 0.5 if angle t is measured from the positive x axis.
Total bill-$67.95
each friends owes about $16.99
Answer: The area of the square is 64 square inches and the area of the new rectangle is 60 square inches. The square's area is 4 inches larger than the rectangle.
Step-by-step explanation: If a side length of the square measures 8 inches, then its area can be calculated as follows;
Area = L x W
The length and the width both measure 8 inches (all sides of a square are equal in length).
Area = 8 x 8
Area = 64
Also, the the new rectangle is formed by increasing the width of the square by 2 inches (that is 8 + 2 = 10), and decreasing the length by 2 inches (that is 8 - 2 = 6). The area of the new rectangle is calculated as follows;
Area = L x W
Area = 10 x 6
Area = 60
Therefore the area of the square is 64 square inches and the area of the rectangle is 60 square inches. The area of the square is 4 inches larger than that of the rectangle.
