The answer is D. The nearest hundred thousand in this case would be 6 and the next number is 5 or more, we raise it up 1.
Answer:
Left: The substance is decreasing by 1/2 every 12 years
Right: The substance is decreasing by 5.61% each year
Step-by-step explanation:
exponential decay
A = P(1-r)ᵇⁿ, where A is the final amount, P is the initial amount, r is the rate decreased each time period, b is the number of years, and n is the number of times compounded each year
let's write each formula in terms of this
left:
f(t) = 600(1/2)^(t/12)
matching values up...
A = P(1-r)ᵇⁿ
A = f(t)
P = 600
1 - r = 1/2 -> r = 1/2
t/12 = bn -> b = number of years = t, so bn = b/12 -> n = 1/12. Thus, it is compounded 1/12 times each year, so it is compounded every t*12 = 12 years. If it was compounded each month, it would be compounded 12 times a year
Thus, this is decreasing by a rate of 1/2 each 12 years
right:
f(t) = 600(1-0.0561)^(t)
matching values up...
A = P(1-r)ᵇⁿ
A = f(t)
P = 600
1 - r = 1 - 0.0561 -> r = 0.0561 = 5.61%
t = bn -> b = number of years = t, so bn = b -> n = 1. Thus, it is compounded annually (1 time each year)
Thus, this is decreasing by a rate of 5.61% each year
The solution would be like this for this specific problem:
Given:
No
(Did Not Lie) Yes (Lied)
Positive Test Result 10 29
(Positive test indicated that the subject lied.) (false positive) (true positive)
Negative test result 66 18
(Polygraph test indicated that the subject did not lie.) (true negative) (false negative)
Find:
The
probability that all four test subjects had a true negative test result when
they are randomly selected without replacement.
Formula:
(66/123) x (65/122) x (64/121) x (63/120) = 0.0793864272
Therefore, when they are randomly selected without
replacement, the <span>probability that all four test subjects had a
true negative test result is 0.079</span>.
1 + 2 = 3
Hope this helps you! Happy Thanksgiving!
<u>Answer</u>:
The required is the multiplicative rate of change.
The correct answer is the second option<u> 2.5</u>
<u>Step-by-step explanation:</u>
The given function has the form of the exponential function
The general equation of the exponential function 
Wher c is constant and r is the multiplicative rate of change.
Using the given points to get the values of c and r
By using the point (0,2) ⇒∴ 
⇒ c = 2
By using the point (1,5) ⇒∴ 
⇒ r = 5/2 = 2.5
Check the answer using the other points
If x = 2 ⇒⇒⇒ 
If x = -1 ⇒⇒⇒ y=2 * 2.5^(-1) = 0.8
<u>So, the multiplicative rate of change = 2.5</u>
