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3 years ago

Match each compound inequality to the graph of its solutions on the number line.

Mathematics

2 answers:

Marianna [84]3 years ago

6 0

ya where are the answers

jekas [21]3 years ago

3 0

What are the Answer Choices?

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Jolene set up a retirement account. She arranged to have $350 taken out of each of her monthly checks; the account will earn 2.1

Leni [432]

Answer:

$152,419.36

Step-by-step explanation:

The future value of an ordinary annuity is given by the formula ...

FV = P((1 +r/12)^(12t) -1)/(r/12)

where P is the monthly payment, r is the annual interest rate, and t is the number of years.

<h3>Annuity value</h3>

For P = 350, r = 0.021, and t = 27 (years to retirement age), the value is ...

FV = 350((1 +0.021/12)^324 -1)/(0.021/12) ≈ $152,419.36

The value of Jolene's retirement account when she turns 60 will be $152,419.36.

4 0

1 year ago

What is the solution set to the inequality 5(x - 2)(x + 4) > 0?

Butoxors [25]

Answer:

You selected the correct answer: {x | x <<em> </em>-4 or x > 2}

Step-by-step explanation:

5(x - 2)(x + 4) > 0

Use FOIL method to expand (x - 2)(x + 4):

$5(x^{2} + 2x - 8)$ > 0

Distribute 5 into $(x^{2} + 2x - 8)$

$5x^{2} + 10x - 40$ > 0

Divide all terms by 5 from both sides of the inequality:

$\frac{5x^{2}}{5} + \frac{10x}{5} - \frac{40}{5} > \frac{0}{5}$

$x^{2} + 2x - 8 > 0$

Factor the trinomial:

(x + 4) ( x - 2) > 0

x < -4 or x > -2

Therefore, the solution set to the inequality is {x | x < -4 or x > 2}

<em>Interval notation: </em>(-∞, -4) ∪ (2, ∞)

8 0

2 years ago

Sasha has 3/5 of a scarf left to knit.If she finishes 1/2 of that today how much of the scarf will Sasha knit today

tigry1 [53]

She will knit (1/2)*(3/5) = 3/10 of the scarf today.

7 0

3 years ago

Find the domain and the range of the relation. Determine whether the relation is a function.

Sauron [17]

It is not a function with domain as { 9 / 2 , 0} and range as {1 / 4, -4, 6}.

We are given a relation:

{(9 / 2, 1 / 4),(4 1 / 2, -4),(0, 5 / 6)}

We can also write it as:

{(9 / 2, 1 / 4),(9 / 2, -4),(0, 5 / 6)}

The domain of the relation will be:

Domain = { 9 / 2 , 0}

The range of the relation will be:

Range = {1 / 4, -4, 6}

We know that every function can be a relation but every relation cannot be a function.

A relation means the connection between the input and the output.

A function means that for every input there should only be one output.

Here, this relation is not a function because:

The input 9 / 2 has 2 outputs as 1 / 4 and -4 which is not possible in a function.

Therefore, we get that it is not a function with domain as { 9 / 2 , 0} and range as {1 / 4, -4, 6}.

Learn more bout domain here:

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7 0

1 year ago

The equation 8(y-3)= -40 is solved in several steps below. For each step, choose the reason that best justifies it.

kramer

Answer:

Step-by-step explanation:

5 0

3 years ago