Using an exponential function, the inequality is given as follows:
The solution is t > 2.9, hence the tax status will change within the next 3 years.
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
For this problem, the parameters are given as follows:
A(0) = 9400, r = 0.143.
The population after t years is modeled by:
The tax status will change when:
Hence the inequality is:
Then:
Since both logs are negative:
t > 2.9.
The solution is t > 2.9, hence the tax status will change within the next 3 years.
More can be learned about exponential functions at brainly.com/question/25537936
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This is an arithmetic sequence, as there is a common difference of 21 between terms.
By using the formula, the 18th term of the sequence is
= 1st term + (18 - 1)(21)
= 15 + 17 * 21
= 372
The probability that you will guess the first answer correctly = 1/2 = 0.5
The probability that you will guess the second answer correctly = 1/2 = 0.5
The probability that you will guess the third answer correctly = 1/2 = 0.5
The probability that you will guess all three answers correctly is
(0.5) x (0.5) x (0.5) = 0.125 = 12.5% .
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Here are all the ways your answer sheet could wind up:
(R = a right answer. W = a wrong answer.)
W W W
W W R
W R W
W R R
R W W
R W R
R R W
R R R
Number of possible ways to score 0 right out of 3 questions: 1 way
Number of possible ways to score 1 right out of 3 questions: 3 ways
Number of possible ways to score 2 right out of 3 questions: 3 ways
Number of possible ways to score 3 right out of 3 questions: 1 way
Statistically, if your answers are all pure guesses,
then on the average, the score you expect is
(0 + 33-1/3 + 33-1/3 + 33-1/3 + 66-2/3 + 66-2/3 + 66-2/3 + 100) / 8
= 400 / 8
= 50% .
If you're happy with that score, great !
Go to the movies the night before the test,
and start guessing.
Take a look at the tree diagram. The first branching shows the probabilities of there being oil, or not being oil.
Then, for each case we consider the probabilities of the kit being accurate or not.
we are interested in the branch Oil---Kit accurate---
Since P(Oil)=0.45, and P(Kit accurate)=0.8, the probability of there being oil and the Kit showing it correctly is:
0.45*0.8=0.36.
Answer: C) 0.36
1) 6, 12,18,24
The rule used here is: Arithmetic Progression or Linear sequence
From the data above:
a = 6, d = 6
2) 3,6,9,12
The rule used here is: Arithmetic Progression or Linear sequence
From the data above:
a = 3, d = 3
3) 1,5,9,13
The rule used here is: Arithmetic Progression or Linear sequence
From the data above:
a = 1, d = 4
