Answer:
x > 1
Step-by-step explanation:
15 - 1 = 14
The inequality is 15 - 1 < 14, but this is incorrect. 14 can not be less than 14. In order for the left side to be less than 14, the x value (currently representing 1) should be larger than what it currently is to make the statement true.
Therefore, x>1
Answer:
c
Step-by-step explanation:
Answer:
-3.7 > -3.1
Step-by-step explanation:
Because -3.1 more close to 0 so is supposed to be bigger than -3.7
The solution to the inequality is x > 3
The number line that represent the solution set will be:
<em>A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right</em>. The correct option is the second option
<h3>Linear Inequalities </h3>
From the question, we are to determine the number line that represents the solution set for the given inequality
The given inequality is
3(8 – 4x) < 6(x – 5)
First, we will solve the inequality
3(8 – 4x) < 6(x – 5)
Clear the brackets
24 - 12x < 6x - 30
Collect like terms
24 + 30 < 6x + 12x
54 < 18x
Divide both sides by 18
3 < x
∴ x > 3
Hence, the number line that represent the solution set will be:
<em>A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right</em>. The correct option is the second option
Learn more on Linear inequalities here: brainly.com/question/28003708
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Answer:
$1,109.62
Step-by-step explanation:
Let's first compute the <em>future value FV.</em>
In order to see the rule of formation, let's see the value (in $) for the first few years
<u>End of year 0</u>
1,000
<u>End of year 1(capital + interest + new deposit)</u>
1,000*(1.09)+10
<u>End of year 2 (capital + interest + new deposit)</u>
(1,000*(1.09)+10)*1.09 +10 =

<u>End of year 3 (capital + interest + new deposit)</u>

and we can see that at the end of year 50, the future value is

The sum

is the <em>sum of a geometric sequence </em>with common ratio 1.09 and is equal to

and the future value is then

The <em>present value PV</em> is

rounded to the nearest hundredth.