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)
Answer:
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
1) lets use elimination to solve this:
multiply 10x+4y=24 with 3 in order to get "4y" into "12y"
3(10x+4y=24)
30x+12y=72
now subtract both equations to eliminate 'y"
30x+12y=72
-
6x+12y=48
---------------------
24x=24
x=1
now substitute 1 in the above equation:
6(1)+12y=48
6+12y=48
12y=42
y=7/2
We know that
[perimeter of rectangle]=2*(<span>length+width)
</span>
Let
x-----------> length
y-----------> width
so
P=2*(x+y)-----------> 244=2*(x+y)-----> x+y=122-------> y=122-x
Area=x*y-------> x*(122-x)----> 122x-x²
find the derivative function and equals to zero
122-2x=0-----> 122=2x----------> x=61 m
y=122-x------> y=122-61---------> y=61 m
<span>the maximum area is given by a square
</span>
the answer is
is a square of side 61 m
You would take 3 into 7.5 to get that scale factor.
