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viktelen [127]
2 years ago
14

A large company put out an advertisement in a magazine for a job

Mathematics
1 answer:
vova2212 [387]2 years ago
8 0

Answer:

<em>C(19)=12 responses</em>

Step-by-step explanation:

<u>Exponential Decay Function</u>

The exponential function is frequently used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function can be expressed as follows:

C(t)=C_o\cdot(1-r)^t

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

The company puts out an advertisement for a job opening. Initially, the company got 90 responses to the advertisement. Each day, the responses declined by 10%.

This is an example where the decay model can be used to calculate the responses to the advertisement at the day t.

The initial value is Co=90, the decaying rate is r=10% = 0.10. The model is written as:

C(t)=90\cdot(1-0.1)^t

Calculating:

C(t)=90\cdot(0.9)^t

We are required to calculate the number of responses at day t=19, thus:

C(19)=90\cdot(0.9)^{19}

C(19)=12 responses

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Answer:

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Step-by-step explanation:

First, let's simplify the equation. You can easily do this by dividing by -4.

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On A, we can see that it has a negative symbol, but if we were to divide that, the sign would flip, making -5 greater than x. That's not what we want.

On B, the 20 is negative instead of the 4. Does this change anything?

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Nope! It still simplifies to what we had at the beginning so it works!

C and D are slightly confusing me because, well, I don't really see how it's relevant to anything so... It doesn't even have a inequality symbol so I don't know lol.

E is wrong because we need the 5 to be positive.

F is obviously right compared to our first answer.

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