Number of trees infected after t years:
The number of trees infected after t years is given by:
Question 1:
We have to find the number of years it takes to have 21 trees infected, that is, t for which:
Thus:
To isolate t, we apply the natural logarithm to both sides of the equation, and thus:
Thus, it will take 7.6 years for 21 of the trees to become infected.
Question 2:
We have to find the inverse function, that is, first we exchange y and x, then isolate x. So
Again, we apply the natural logarithm to both sides of the equation, so:
Thus, the logarithmic model is:
For an example of a problem that uses exponential functions and logarithms, you can take a look at brainly.com/question/13812761
I think the answer is c but I hope you get it right good luck the answer should b c (2,one) hope you get it correct
Answer:
6.)66 degrees
7.)20 degrees
Step-by-step explanation:
Angle 114 and angle 3 are supplementary, meaning that they can be added to get 180 degrees
If you subtract 114 from 180 you get 66 degrees
Angle D and Angle C are both complimentary, meaning that if you add them together you get 90 degrees
If you subtract 70 from 90 you get 20
Answer:
$134.71
Step-by-step explanation:
This is a simple interest question
A = P(1 + rt)
A = Amount after t months or years
P = Principal or amount saved
r = interest rate = 5.18% = 0.0518
t = time.in years = 18 months
= 1 year and 6 month
= 1.5 year
A = $125( 1 + 0.0518 × 1.5)
A = $125 ( 1 + 0.0777)
A = $125(1.0777)
A = $134.71
Answer:
For a bilateral test the p value would be:
Step-by-step explanation:
Information given
n=225 represent the sample selected
X=87 represent the households with incomes below the poverty level
estimated proportion of households with incomes below the poverty level
is the value that we want to test
z would represent the statistic
represent the p value
System of hypothesis
We want to check if the true proportion is equal to 0.32 or not.:
Null hypothesis:
Alternative hypothesis:
The statistic is given bY:
(1)
Replacing we got:
For a bilateral test the p value would be:
