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3 years ago

Emily receives a 9.8% raise. she currently earns $1789.46 per month. what will her new monthly earnings be?

Mathematics

1 answer:

Oksana_A [137]3 years ago

8 0

Answer:

$1964.83 per month

Step-by-step explanation:

Take 9.8% of $1789.46

Represented as:

0.098 x $1789.46 = $175.367

Round $175.367 up to $175.37

Add $175.37 to the current monthly earnings:

$1789.46 + $175.37 = $1964.83

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Write two polynomials with a difference of 2x2 + x + 3

Anettt [7]

Answer:

The two polynomial CAN be $5x^4+5x^3+8x^2+x+6$ and $5x^4+5x^3+8x^2+2x+13$ .

Step-by-step explanation:

Step 1: Simplify the expression:

$2*2 + x + 3$

$4+x+3$

$x+7$

Step 2: Think of a random polynomial:

$5x^4+5x^3+8x^2+x+6$

Step 3: Either add your "random polynomial" by $x+7$ or subtract it.

I want to add it so...

$5x^4+5x^3+8x^2+x+6+x+7$

= $5x^4+5x^3+8x^2+2x+13$

Check by subtracting $5x^4+5x^3+8x^2+x+6$ and $5x^4+5x^3+8x^2+2x+13$ .

$5x^4+5x^3+8x^2+2x+13$

- $5x^4+5x^3+8x^2+x+6$

_____________________

$0x^4 - 0x^3 -0x^2 +x +7$ or  $x+7$ 

5 0

3 years ago

Round 0.868 to the nearest tenth.

Anna11 [10]

Answer: 0.9

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Value of the y-intercept of the graph of f(x) = e1–x – 1?

frozen [14]

Answer:

(0, e-1) or (0, 1.718) to the nearest thousandth.

Step-by-step explanation:

The y-intercept occurs when x = 0 so here we have:

y = e^(1 - 0) - 1

= e - 1

So the y-intercept is the point (0, e-1)

5 0

3 years ago

For one Geometry test, Nancy correctly answered 18 questions. These correct answers gave her a percent score of 72%. In total, h

Brrunno [24]

Answer:

25 questions.

Step-by-step explanation:

Correct answer = 18

The percent score of the correct answers is 72%.

Let there are x questions in the test. So,

According to the given condition,

$72\%\ of\ x=18\\\\\dfrac{72}{100}x=18\\\\x=\dfrac{18\times 100}{72}\\\\x=25$

Hence, there were 25 questions in the geometry test.

4 0

3 years ago

If a monopolist supplies goods at a price; P = 170 - Q, with marginal cost; MC = 52. Find the quantity and price

Arada [10]

Answer:

Quantity = 59 units

Price = $111

Step-by-step explanation:

The Demand function is given by

$P = 170 - Q$

The Marginal cost is given by

$MC = 52$

We are asked to find the quantity and price of goods.

Firstly, obtain the Marginal revenue function from the demand function

The Total revenue is given by

$TR = P \times Q \\\\TR = (170 - Q) \times Q \\\\TR = 170Q - Q^2$

The Marginal revenue is the derivative of the Total revenue,

$MR = \frac{d}{dQ} (TR) = 170Q - Q^2 \\\\MR = \frac{d}{dQ} (TR) = 170 - 2Q \\\\$

Assuming that the monopolist maximizes profits,

$MR = MC \\\\170 - 2Q = 52\\\\2Q = 170 - 52\\\\2Q = 118\\\\Q = 118/2\\\\Q = 59$

Therefore, the quantity is 59 units.

The price of each good is

$P = 170 - Q \\\\P = 170 - 59 \\\\P = 111$

Therefore, the price is $111.

3 0

3 years ago