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Angelina_Jolie [31]
3 years ago
5

Which graph represents the solutions of the inequality p ≥ -1

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
6 0

Option D:

The solution of the inequality p is –1, 0, 1, 2, 3, ...

Solution:

Given inequality is p ≥ –1.

To find the solution for the inequality.

p ≥ –1 means the value of p is greater than or equal to –1.

That is p can be –1, 0, 1, 2, 3, ...

<u>Now find which option is correct:</u>

Option A:

In this inequality, the solution is –1, –2, –3, ...

–3 and –2 are less than –1.

But p is greater than –1.

So, it is not the solution of the inequality.

Option B:

In this inequality, the solution is 0, 1, –1, –2, –3, ...

Here 0 > –1 and 1 > –1 but –3 and –2 are less than –1.

So, it is not the solution of the inequality.

Option C:

In this inequality, the solution is 0, 1, 2, 3, ...

Here 1 > –1 , 2 > –1 and so on.

But 0 is also greater than –1. This is missing in the graph.

So, it is not the solution of the inequality.

Option D:

In this inequality, the solution is –1, 0, 1, 2, 3, ...

Here –1 = –1, 0 > –1, 1 > –1,  and so on.

This graph represents all the values of p.

So, it is the solution of the inequality.

Hence option D is the correct answer.

The solution of the inequality p is –1, 0, 1, 2, 3, ...

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Answer:

$56,226

Step-by-step explanation:

x = investment

Earning interest of 3.57% is the equivalent of multiplying the initial balance (investment) by 1.0357;

Over 20 years, the new balance can be found by multiplying the initial balance by (1.0357)²⁰;

We can formulate an equation to solve to get the initial investment:

x(1.0357)²⁰ = 113400

(2.01687752)x = 113400

x = ¹¹³⁴⁰⁰/₍₂.₀₁₆...₎

x = 56225.5263 → 56226

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2 years ago
What is the finance charge on 13,300 financed at 7.9 percent for 4 years if the monthly payment per 100 is 2.74?
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To answer this question we have to first determine how many times 100 can go into 13,300. To find this we do the following:


<span>$13,300/$100 = 133</span>


<span>Now we simply multiply the result by $2.74:</span>


<span>$2.74*133 = $364.42.</span>


<span>Finally we just multiply that by the total number of payments which are (monthly payment, 12 months in a year, for 4 years).</span>


<span>$364.42*(12*4) ---> $364.42*48 = $17,492.16.</span>


The correct answer is choice 4.) 17,492.16


<span>I hope this helps, Regards.</span>

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Point K on the number line shows Kelvin's score after the first round of a quiz: A number line is shown from negative 10 to 0 to
Ierofanga [76]

Answer:

The correct option is;

3 + (-9) = -6, because -6 is 9 units to the left of 3

Step-by-step explanation:

The given information are;

Kelvin's score after the first round is shown at point K on the number line

The range of numbers on the number line = -10 to +10

The position of point K after the first round = +3

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Therefore, the expression that shows how many total points he has at the end is of round 2 = 3 + (-9) = -6, because -6 is 9 units to the left of 3.

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kompoz [17]

Answer:

the answer is B), k = 6j

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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