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Eddi Din [679]
3 years ago
5

Anya and Jake started new jobs at the same time. Anya’s starting salary was $42,000, and she gets a $1,500 raise each year. Jake

’s starting salary was $35,000, and he gets a 3% raise each year. What function gives Jake’s salary after x years?
Mathematics
1 answer:
Nitella [24]3 years ago
5 0

Answer:

Function (Assuming Jake gets raise every year on his new salary )

Step-by-step explanation:

Given:

Anya’s starting salary = $42,000

Anya’s raise = $1,500 each year

Jake’s starting salary = $35,000

Jake’s raise = 3% each year

Find:

Function (Jake’s salary after x years) = ?

Number of years = x

Computation:

Jake\’s\ salary\ after\ x \ years = Jake\’s\ starting\ salary(1+Jakes\ raise)^{Number\ of\ year}\\\\Jake\’s\ salary\ after\ x \ years =35,000(1+0.3)^x

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Answer:

B correct me if i am wrong!

Step-by-step explanation:

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3 years ago
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You are downsizing. Your new residence will have much less closet space than does your current home. You have 12 pair of long pa
harkovskaia [24]

Answer:

a) there are 7,854,000 number of ways the random selections can be arranged

b) the required probability is 0.0445

Step-by-step explanation:

Given that;

you have 12 pair of long pants, 6 pair of short pant and 17 t-shirt which in total;

Total = 12 + 6 + 17 = 35

a) number of ways a random selection of 9 pair of long pants, 4 pair of short pants and 13 t-shirts can be arranged;

⇒ [ 12   ×    [ 6     ×    [ 17

     9 ]          4 ]           13 ]

= (12! / (9! 3!)) (6! / (4! 2!)) (17! / (13! 4!))

= (220) (15) (2380)

= 7,854,000

Therefore there are 7,854,000 number of ways the random selections can be arranged

b)

Number of ways of selecting 25 item from 35 items;

⇒ [ 35        

    25 ]

=

(35! / (25! 10!) = 183.579,396

now number of ways to select 10 pair of long pants, 3 pairs of short pantts and 12 t-shirt;

⇒ [ 12   ×    [ 6     ×    [ 17

     10 ]         3 ]           12 ]

= (12! / (10! 2!)) (6! / (3! 3!)) (17! / (12! 5!))

= (66) (20) (6188)

= 8,168,160

So, Required probability = 8,168,160 / 183,579,396

= 0.0445

So the required probability is 0.0445

5 0
3 years ago
N÷102=0.123<br> What is the value of n
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Answer:

n = 12.546

Step-by-step explanation:

to find the value of n we need to transpose

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3 years ago
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Please factor completely: <br><br> 20x^2 - 102x + 54
Temka [501]

Answer:

The answer to your question is 2(x - 9/2)(x - 3/5)

Step-by-step explanation:

Polynomial           20x² - 102x + 54

Process

1.- Find the Greatest Common Factor

                            20   102   54   2

                             10     51    27  2

                              5      51    27  3

                              5      17      9  3

                              5       17     3  3

                              5       17      1  5

                               1       17         17

                                         1

GCF = 2

2.- Factor 2

                        2(10x² - 51x + 27)

3.- Factor   10x² - 51x + 27

Use the general formula to solve this equation

                        x = \frac{-b +- \sqrt{b^{2} - 4ac}}{2a}

a = 10   b = -51   c = 27

                        x = \frac{51 +- \sqrt{51^{2} -4(10)(27)}}{2(10)}

-Simplification

                       x = \frac{51 +- 39}{20}

-Result

                        x₁ = 9/2       x₂ = 3/5

                       (x - 9/2)        (x - 3/5)

4.- Answer

                      2(x - 9/2)(x - 3/5)                              

5 0
2 years ago
15 X 2/3 Show All Work
MatroZZZ [7]
We can set it up like this

15        2          30
----  × -----   =  -----
1          3            3

then divide to simplify

30/3=10

you're answer is 10

I hope I've helped!

4 0
2 years ago
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