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Harrizon [31]
3 years ago
6

twin bothers, collin and cameron get jobs immediately after graduating from college at the age of 22. collin opts for the higher

starting salary, $55,000 and stays with the same company until he retires at age 65. his salary doubles every 15 years. cameron opts for the lower starting salary, $35,000 but moves to a new job every few years so that he doubles his salary every 10 years until he retires at age 65. what is the annual salary of each brother upon retirement?
Mathematics
1 answer:
11111nata11111 [884]3 years ago
5 0

Collin

22 years = 55,000 USD

+15 years

37 years = 2 x 55,000 = 110,000 USD

+15 years

52 years = 2 x 110,000 = 220,000 USD

Cameron

22 years = 35,000 USD

+10 years

32 years = 2 x 35,000 = 70,000 USD

+10 years

42 years = 2 x 70,000 = 140,000 USD

+10 years

52 years = 2 x 140,000 = 280,000 USD

+10 years

62 years = 2 x 280,000 = 560,000 USD

Retirement Salaries

Collin = 220,000 USD

Cameron = 560,000 USD

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Rzqust [24]

(<u>−1</u>

2  )(n^3)+

<u>1</u>

2 n^2+4.6n+(−

<u>1</u>

2)(n^3)+

<u>1</u>

2  n^2+4.5n

=

<u>−1</u>

2  n^3+

1

2  n^2+4.6n+

−1

2  n^3+

1

2  n^2+4.5n

Combine Like Terms:

=

<u>−1</u>

2  n^3+

<u>1</u>

2  n^2+4.6n+

<u>−1</u>

2  n^3+

<u>1</u>

2  n^2+4.5n

=(<u>−1</u>

  2   n^3+

<u>−1</u>

2   n^3)+(

<u>1</u>

2  n^2+

<u>1</u>

2   n^2)+(4.6n+4.5n)

=−n^3+n^2+9.1n

Answer:

=−n^3+n^2+9.1n

     Everything underlined means its a  fraction/divided hope this helps <em>:D</em>

8 0
3 years ago
PLZ HELP A submarine is exploring the Pacific Ocean. At 502.5 feet below sea level, the water temperature is 63 1/4 °F. The subm
LenaWriter [7]
The submarine is now 617.5 feet below sea level, or at -617.5 feet. the temperature is now at 65 9/20

you have to add the first values with the second values :)
6 0
3 years ago
Adam is building a computer desk with a separate compartment for the computer. The compartment for the computer is a rectangular
Alik [6]

Answer:

The width of the computer compartment is 9 inches

The length of the computer compartment is 33 inches

The height of the computer compartment is 27 inches

Step-by-step explanation:

The given data on the rectangular prism compartment are;

The volume of the rectangular prism, V = 8019 cubic inches

The length of the compartment, l = 24 inches + The width, w

The height of the compartment, h = 18 inches + The width, w

Therefore, we have;

l = 24 + w

h = 18 + w

V = l × h × w

∴ V = (24 + w) × (18 + w) × w = w³ + 42·w² + 432·w = 8019

w³ + 42·w² + 432·w - 8019 = 0

By graphing the above function with MS Excel, we have one of the solution is w = 9

∴ (w - 9) is a factor of w³ + 42·w² + 432·w - 8019 = 0

Dividing, we get;

w² + 51·w + 891

w³ + 42·w² + 432·w - 8019 = 0

w³ - 9·w²

     51·w² - 459·w

                 891·w

                 891·w + 8019

                             0

Therefore,

w³ + 42·w² + 432·w - 8019 = 0

w³ + 42·w² + 432·w - 8019  = (x - 9)·(w² + 51·w + 891) = 0

The determinant of the factor, w² + 51·w + 891 = 51² - 4×1×891 = -963, therefore, the it has complex roots

Therefore, the real solution of (x - 9)·(w² + 51·w + 891) = 0 is w = 9

The width of the computer compartment, w = 9 inches

The length of the computer compartment, l = 24 inches + 9 inches = 33 inches

The height of the computer compartment, h = 18 inches + 9 inches = 27 inches.

3 0
3 years ago
What is the sum of the measures of the measures of the exterior angles of this triangle?
mylen [45]

Answer:

The sum of the exterior angles is 360 degrees.

7 0
3 years ago
a 27 foot long wire stretches from the top of a vertical pole to a stake in the ground 21 feet from the foot of the pole. find t
Evgesh-ka [11]

Answer:

52 degrees

Step-by-step explanation:

3 0
3 years ago
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