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:
97/40
Step-by-step explanation:
so 2.125= 17/8
3/10+17/8 need to find common denominator so
times 8/8 to 3/10
times 10/10 to 17/8
24/80+170/80= 194/80 (common denominator so can add)
divide 194/80 because want reduce form
97/40 is the answer
(When i look at it now i can just time 4/4 and 5/5 but its ok this still gets the answer)
Answer:
13,784
Step-by-step explanation:
Answer: y= 0.074x + 50.48
Step-by-step explanation:
Easy example that shows

:
Let

.
Then

.
So

, or

, and so

.
The basic idea is to find the period of the repeating decimal, move the

digits belonging to one period over to the left of the decimal point by multiplying by

, then subtract the original repeating decimal from this new number, and finally divide by

.
A slightly more complicated example:
Let

.
Then

.
Then

, or