The equation for exponential decay is given as y = a(1 - r)^x.
<u>Explanation:</u>
The formula for original exponential decay is y = ab^x.
The growth rate (r) is determined as b = 1 + r.
The decay rate (r) is determined as b = 1 - r.
y = ab^x (Where b = 1 - r)
y = a(1-r)^x
a represents the initial value
r represents growth or decay rate
x represents the number of time intervals that have passed.
<em>For example</em>
The population of Home Town is 2016 was estimated to be 35,000 people with an annual rate of increase of 2.4%.
The equation for decay factor y = 35000(1 - 0.024)^x
y = 35000(0.976). (where x = 1)
10 to the third power.
Hope I helped :)
Answer:
The correct option is the graph on the bottom right whose screen grab is attached (please find)
Step-by-step explanation:
The information given are;
The required model height for the designed clothes should be less than or equal to 5 feet 10 inches
The equation for the variance in height is of the straight line form;
y = m·x + c
Where x is the height in inches
Given that the maximum height allowable is 70 inches, when x = 0 we have;
y = m·0 + c = 70
Therefore, c = 70
Also when the variance = 0 the maximum height should be 70 which gives the x and y-intercepts as 70 and 70 respectively such that m = 1
The equation becomes;
y ≤ x + 70
Also when x > 70, we have y ≤ -x + 70 with a slope of -1
To graph an inequality, we shade the area of interest which in this case of ≤ is on the lower side of the solid line and the graph that can be used to determine the possible variance levels that would result in an acceptable height is the bottom right inequality graph.
Answer:
x=0/y=-2
y=0/x=-3
....∞
Step-by-step explanation:
The answer is 73.5
To make it a lot easier split the shapes into a rectangle and triangle.
The rectangle is a tad easier because the measurements are given here.
5 x 12 = 60 (rectangle area)
To find the triangle find the base then height. The base is 3cm and the height is 9cm (shown above)
9 x 3 = 27
Divide that by 2 because it's a triangle and you get 13.5.
Add those two numbers and voila you have your answer of 73.5.