The probability, P, that a person responds to an advertisement can be modeled by the exponential function P = 1 – e^-0.047t. In
the formula, t is the number of days since the advertisement first appeared. How many days will it take for the probability that a person has responded reach 75% ?
1 answer:
To solve this equation, start by noticing that you want to find t when P is 75%, or 0.75. Plug in 0.75 for P. Please see the attached screenshot for a step-by-step. The correct answer is 29.496 days.
EDIT 2: I actually was correct! You check the answer by substituting 29.496 for t in the original equation set equal to 0.75. It is 0.75. I had forgotten the negative sign when I checked.
EDIT 2: I actually was correct! You check the answer by substituting 29.496 for t in the original equation set equal to 0.75. It is 0.75. I had forgotten the negative sign when I checked.
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9514 1404 393
Answer:
A (first choice), F (last choice)
Step-by-step explanation:
Formulas for arithmetic sequences are generally written in one of two forms. The form you're given here is called an "explicit" formula. For some value of n, you can find the n-th term by evaluating the formula.
The form used in the first three answer choices is called a "recursive" formula. The value of the n-th term depends not on 'n', but on the previous term.
These two forms can be converted to each other like this:
explicit formula ⇔ recursive formula
The values of the first term (A₁), the common difference (d), and the term index number (n) are the same in both forms. Once you see this relationship, you should be able to find ...
- the first term
- the common difference
- the other formula for the same sequence
__
Here, the given function tells you ...
- A₁ = 5
- d = +4
This means the formulas that describe the same sequence are ...
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<em>Additional comment</em>
The commutative property of multiplication tells you that (n-1)(4) = 4(n-1). The order of the operands makes no difference. The given function has the first of these forms, the offered answer choices have the second of these forms.