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In-s [12.5K]
2 years ago
13

You accept a new job with a starting salary of $47,000. You receive a 4% raise at the start of your second year, a 5.6% raise at

the start of your third year, and an 11.1% raise at the start of your fourth year. (Round your answers to two decimal places.)
Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
4 0

Answer:

1yr  47,000, 2nd yr  48,880, 3rd yr   51,617.28, 4th yr  57,346.7981 or 57,346.80

Step-by-step explanation:

1yr        47,000

2nd yr  47,000 x 4% = 48,880

3rd yr   48,880 x 5.6% = 51,617.28

4th yr   51,617.28 x 11.1% = 57,346.7981 or 57,346.80

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Help me with this problem, please.
Novay_Z [31]

Answer:

m² + 7m + 12 = 0 is equivalent to (5x - 2)² + 35x - 14 = -12 ⇒ C

Step-by-step explanation:

To solve this problem substitute m by 5x - 2 in each answer to find which one give you the equation of x

The given equation is (5x - 2)² + 35x - 14 = -12

Let us start with answer A

∵ m² - 7m + 12 = 0

∵ m = 5x - 2

- Substitute m by 5x - 2

∴ (5x - 2)² - 7(5x - 2) + 12 = 0

- Simplify the middle term

∵ - 7(5x - 2) = - 7(5x) + - 7(-2)

∴ - 7(5x - 2) = - 35x + 14

- Substitute - 35x + 14 in the equation

∴ (5x - 2)² - 35x + 14 + 12 = 0

- Subtract 12 from both sides

∴ (5x - 2)² - 35x + 14 = -12 ⇒ Not equal to the given equation

Let us check answer B

∵ m² - 7m - 2 = 0

∵ m = 5x - 2

- Substitute m by 5x - 2

∴ (5x - 2)² - 7(5x - 2) - 2 = 0

- Simplify the middle term

∴ -7(5x - 2) = - 35x + 14

- Substitute - 35x + 14 in the equation

∴ (5x - 2)² - 35x + 14 - 2 = 0

- Add 2 to both sides

∴ (5x - 2)² - 35x + 14 = 2 ⇒ Not equal to the given equation

Now let us check answer C

∵ m² + 7m + 12 = 0

∵ m = 5x - 2

- Substitute m by 5x - 2

∴ (5x - 2)² + 7(5x - 2) + 12 = 0

- Simplify the middle term

∵ 7(5x - 2) = 7(5x) + 7(-2)

∴ 7(5x - 2) = 35x - 14

- Substitute 35x - 14 in the equation

∴ (5x - 2)² + 35x - 14 + 12 = 0

- Subtract 12 from both sides

∴ (5x - 2)² + 35x - 14 = -12 ⇒ Equal to the given equation

Let us check answer D

∵ m² + 7m - 2 = 0

∵ m = 5x - 2

- Substitute m by 5x - 2

∴ (5x - 2)² + 7(5x - 2) - 2 = 0

- Simplify the middle term

∴ 7(5x - 2) = 35x - 14

- Substitute 35x - 14 in the equation

∴ (5x - 2)² + 35x - 14 - 2 = 0

- Add 2 to both sides

∴ (5x - 2)² + 35x - 14 = 2 ⇒ Not equal to the given equation

m² + 7m + 12 = 0 is equivalent to (5x - 2)² + 35x - 14 = -12

7 0
3 years ago
What is true about the number 3.872? Check all that apply.
Korvikt [17]

Answer:

The 7 is in the hundredths place.

The 3 is in the ones place.

3.872 is equivalent to (3 × 1) + (8 × 0.1) + (7 × 0.01) + (2 × 0.001).

Step-by-step explanation:

Given the number 3.872, to check all the given options that are true apply to the number, let's take a look at each position occupied by each digit. In order words, let's consider their place value.

Thus,

The 3 is in the ones place and as such has a value of 3.

8 is in the tenths place having a place value of 0.8 (⁸/10)

7 is in the hundredths place having a place value of 0.07 (⁷/100)

2 is in the thousandths place having a place value of 0.002 (²/1000)

Going by these, the following statements are true :

"The 7 is in the hundredths place."

"The 3 is in the ones place."

"3.872 is equivalent to (3 × 1) + (8 × 0.1) + (7 × 0.01) + (2 × 0.001)."

The number is pronounced as three and eight hundred seventy-two thousandths rather than the option given.

Therefore, only 3 if the options are correct

7 0
2 years ago
Read 2 more answers
25.3 = s + 6.2<br><br> s= unknown
den301095 [7]

Answer:

s = 19.1

Step-by-step explanation:

Simplifying

25.3 = s + 6.2

10011813 avatar

Solving

25.3 = 6.2 + s

Solving for variable 's'.

Move all terms containing s to the left, all other terms to the right.

Add '-1s' to each side of the equation.

25.3 + -1s = 6.2 + s + -1s

Combine like terms: s + -1s = 0

25.3 + -1s = 6.2 + 0

25.3 + -1s = 6.2

Add '-25.3' to each side of the equation.

25.3 + -25.3 + -1s = 6.2 + -25.3

Combine like terms: 25.3 + -25.3 = 0.0

0.0 + -1s = 6.2 + -25.3

-1s = 6.2 + -25.3

10011813 avatar

Combine like terms: 6.2 + -25.3 = -19.1

-1s = -19.1

Divide each side by '-1'.

s = 19.1

Simplifying

s = 19.1

4 0
2 years ago
Pls help I don't know what I'm doing​
Andreyy89
Use the math app Conects it give you all the answers to all math
3 0
2 years ago
HELP!! ILL GIVE BRAINLIEST TO ANYONE WHO GIVES ME THE ANSWER!!:((((
nevsk [136]

Answer:

It's A I'm pretty sureeeeeee I have to type alot cause then I can't submit but ya A:)

8 0
2 years ago
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