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:
<u>Perimeter of Garden A</u>
- P = 2(w + l)
- P = 2(2x - 3 + 5(2x - 3) = 2(2x - 3 + 10x - 15) = 2(12x - 18) = 24x - 36
The statement is TRUE
Answer:
probability of an electric power outage shipboard is 0.075 or 7.5 %
Step-by-step explanation:
Given the data in the question;
Probability of engine malfunction = 25% = 0.25
Probability of generator malfunction = 10% = 0.1
Probability of generator being repaired = 50% = 0.5
probability of an electric power outage shipboard = ?
To get the probability of an electric power outage shipboard, we use the expression;
probability of an electric power outage = 2 × p( Probability of generator malfunction ) × p( Probability of generator being repaired ) × ( 1 - p( Probability of engine malfunction ) )
so we substitute in our given values;
probability of an electric power outage = 2 × 0.1 × 0.5 × ( 1 - 0.25 )
probability of an electric power outage = 2 × 0.1 × 0.5 × 0.75
probability of an electric power outage = 0.075 or 7.5 %
Answer:
169.12
Step-by-step explanation:
I hope this is correct. First, you want to divide the semi-circle and the rectangle. To find the area of the rectangle, you do 16 x 9 to get 144. To find the area of the semi-circle, you do 3.14x16/2 to get 25.12. Then you want to add 144 and 25.12 to get 169.12. I hope this helps
If you look at the numbers past the decimal point, the first digit - 8 - is in the tenths place. So, - 7 - is in the hundredths. What number is beside that? 4. When you round four, does it go up to ten or down to zero? Which is it closer to? The answer is zero.
So, the 7 in the hundredths place stays the same and any numbers after it are turned to zeros and cut off. Ending up with 26,379.87