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:

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:

Calculating:

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

C(19)=12 responses
The first thing we are going to do to graph our equation is solve them for

:
For our first equation:



For our second equation:


Now, we just need to use the graphing utility to graph our equations:


We can conclude that the graph of the equations is:
Answer:
Answer:
n = 1
Step-by-step explanation:
This equation is just basic alegebra. First, combine like terms to get
9 - n = 8n. (Because 3 - 3 = 0, and -4n + 3n = -n.) Now the equation is much simpiler; add n to both sides to get 9 = 9n. Divide 9 by both sides to get that n = 1.
You can check your answer by plugging 1 in for n.
9 - 4(1) + 3(1) = 8(1) + 3 - 3
9 - 4 + 3 = 8 + 3 - 3
5 + 3 = 11 - 3
8 = 8
Therefore, n is proven to equal 1.
Hope this is helpful kid sorry i went very far yesterday hope you can forgive me but Anyways here it is <3
300000-50000=250000
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Answer: # 15 is x=-12 and #16 is x=24
Step-by-step explanation: