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Nikolay [14]
3 years ago
15

S=n(a1+an)/2 gives the partial sum of an arithmetic sequence. What is the formula solved for an?

Mathematics
2 answers:
Veseljchak [2.6K]3 years ago
6 0
S = n(a1 + an)/2
2S = n(a1 + an)
2S = na1 + nan
nan = 2S - na1
an = (2S - n a1)/n
Oksana_A [137]3 years ago
5 0

Just took the quiz.

The answer is an=2S-a1n/n

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A large company put out an advertisement in a magazine for a job
vova2212 [387]

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

8 0
3 years ago
Describe several real world situations can be modeled by equations of the form Y equals MX plus be or Y equals MX explain how th
lara [203]

The linear equation represents y = mx + b describes several real world situations such as

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<u>Step-by-step explanation</u>:

Linear equations  y = mx + b.  

m is your rate of change.

b is your constant. This is the initial value of y. The value of y when x is 0.

Finally, y is the thing that depends on x.

Oh right, examples:  

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total cost = 25(cartridges I buy) + 100 or y = 25x + 100

  • I get a $100 iTunes gift card for my birthday and then start buying $1 songs. The relationship between the number of songs I buy and how much is left on the card

amount left on card = -$1(songs bought) + 100 or y = -x +100

5 0
3 years ago
a scarf is originally priced at $30.00. it is then discounted by 25%. several days later, it is discounted 10% off the new price
jeka94
No. 
a. take 35% off 30 =19.5
b. first take 25% off 30 = 22.5, then take 10% off 22.5 = 20.25
8 0
3 years ago
What’s 14/20 - 81/90
Leni [432]

Answer: -1/5

Step-by-step explanation:

14/20 - 81/90=

7/10-9/10=       ==> 10 is the GCF of 20 and 90

(7-9)/10=

-2/10=-1/5

3 0
1 year ago
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Which of the following systems is best suited for solving with the substitution method?
Agata [3.3K]

answer ...

to halp you and thank you

3 0
2 years ago
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