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Norma-Jean [14]
3 years ago
6

Find last year’s salary if, after a 3% pay raise, this year’s salary is $32,960.

Mathematics
1 answer:
belka [17]3 years ago
3 0

Answer:

$32000

Step-by-step explanation:

Let last years salary was $x

Therefore,

x + 3% of x = $32960

x + 0.03x = $32960

1.03x=$32960

x = 32960/1.03

x = $32,000

So, last year's salary was $32000.

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5, k, 5k................
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Show all work to factor x^4 − 5x^2 + 4 completely.
Mademuasel [1]

Answer:

(x+1) (x-1) (x+2) (x-2)

Step-by-step explanation:

<u>Let u = x^2</u>

= u^2 - 5u + 4

<u>(Factor u^2 - 5u + 4)</u>

= (u-1) (u-4)

<u>Substitute back u = x^2</u>

= (x^2 -1 ) (x^2 - 4)

<u>Factor x^2 - 1 and x^2 -4</u>

= (x+1) (x-1) (x+2) (x-2)

Hope this helped... :)

If you need to see the work for yourself, copy/paste this link

https://www.symbolab.com/solver/factor-calculator/factor%20x%5E%7B4%7D%20%E2%88%92%205x%5E%7B2%7D%20%2B%204%20

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3 years ago
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Can someone help me out with this question?
goblinko [34]

Answer:

The third option

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6 0
3 years ago
The owner of a new restaurant wants to have seating for more than 75 people. There is currently a
Fudgin [204]

Answer:

4m+3>75

Step-by-step explanation:

Given:

Number of people to be seated should be greater than 75.

Let n be the number of people. So,

n > 75

Now, there is a single private chef's table that can seat 3 people.

Tables bought by the owner = m

Number of people seated in 1 table = 4

So, number of persons that can be seated in m tables = 4\times m=4m

Now, total number of persons that can be seated in these two types of tables is the sum of 3 and 4m

Therefore, n = 4m+3

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Hence, the inequality to show the situation is:

4m+3>75

6 0
3 years ago
The population p (in millions) of Italy from 1990 through 2008 can be approximated by the model p=56.8e^o.oo15t , where t repres
dimulka [17.4K]

As we already have the model that describes the change of the population in Italy in terms of the years that have elapsed, we only have to replace the conditions that are requested in that equation.

Therefore to find the population of Italy in the year 2000 (t = 10 years)  substitute t = 10 in the equation and have:

p = 56.8e^{0.0015*10}\\

p=57.6584 million people

To find the population of Italy in 2008 (t = 18 years)

substitute t = 18 in the equation and have:

p=56.8e ^{0.0015*18}\\

p=58.3545 million people


To predict the population in Italy for 2015 and 2020 with this model, we substitute in the equation t = 25 and t = 30

t = 25

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p=58.9704 million people


 t = 30

p=56.8e^{0.0015*30}

p=59.4144 million people

8 0
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