Ok, it's all pretty much like the "$50 coat is on sale for $35".
<span>If the regular price of the coat is $50 and now it is on sale for $35, then it will cost you $15 less, like this: </span>
<span>$50 - $35 = $15 </span>
<span>You could also say the coat was discounted by $15, or the coat was reduced by $15, or you'll save $15 if you buy that coat ($50 - $15 = 35). </span>
<span>You could also put it in terms of percentages. If the discount is $15, you can figure that $15 is what percent of the regular price, like this: </span>
<span>$15 = X% of $50 </span>
<span>$15 = X% x $50 (divide both sides by 50 to isolate X) </span>
<span>15/50 = X% </span>
<span>.30 = X% (multiply by 100 to convert to a non-decimal) </span>
<span>30% = X </span>
<span>So, you can say all of the following and they all mean the same thing: </span>
<span>1. the $50 coat is on sale for $35 </span>
<span>2. the $50 coat is discounted by $15 </span>
<span>3. the $50 coat is reduced by $15 </span>
<span>4. you'll save $15 if you buy this coat </span>
<span>5. the $50 coat is on sale for 30% off </span>
<span>6. the $50 coat is discounted by 30% </span>
<span>7. you'll save 30% if you buy this coat </span>
<span>8. 30% savings! </span>
<span>9. Save 30%! </span>
<span>So, how does that apply to the $18,000 a year? Ok, if Shelby earns $18,000 this year and then earns $19,500 next year, then she gets an additional $1,500 ($19,500 - $18,000 = $1,500). In the coat problem, everything was discounted, on sale, going down. In this problem, everything is going up, increasing. </span>
<span>You know the dollar increase is $1,500. To figure the percent increase, you need to figure out that $1,500 is what % of $18,000. Remember, it's not the $19,500 that was increased; it was an increase on the $18,000: </span>
<span>$1,500 = X% of $18,000 </span>
<span>1,500/18,000 = X% </span>
<span>.083333 = X% </span>
<span>8.3333% = X </span>
<span>One more: If Shelby get a 10% increase in her salary at the end of one year, that's the same as saying that Shelby gets her salary plus she gets 10% more, like this: </span>
<span>$18,000 + (10% of $18,000) = </span>
<span>$18,000 + $1,800 = </span>
<span>$19,800 end of first year </span>
<span>For the second year, her salary begins at $19,800 and increases 10%, like this: </span>
<span>$19,800 + (10% x $19,800) = </span>
<span>$19,800 + $1,980 = </span>
<span>$21,780 end of second year </span>
<span>You can do it from here.</span>
Answer:
Let's define the sets:
Integers: The set of all whole numbers.
Rational: Numbers that can be written as the quotient of two integer numbers.
Natural: The set of the positive integers.
Whole numbers: All the numbers that can be made by adding (or subtracting) 1 a given number of times.
Then:
2 is a:
Whole number because 1 + 1 = 2 (then it is also a integer)
We can write 2 = 4/2
Then 2 is the quotient of two integer numbers, then it is rational.
2 is positive and is an integer, then it is a natural number.
Then number 2 is an example of all four sets.
If we also want to include a negative number, we can use -3
-3 is an integer, is a whole number, and 9/-3 = -3, then it is also a rational number.
Now, answering the questions:
a) We can use only one example for all four sets, but in this case i gave 2.
b) in the same way that i prove that 2, a positive integer, belongs to the four sets, we can do the same for every positive integer, then:
Positive integers belong to:
The set of integers.
The set of natural numbers.
The set of rational numbers.
The set of whole numbers.
So you miss one day every two weeks
4 weeks in a month
2 days a month are missed
2 x 12 is 24(24 days you miss a year)
9.29 x 8 = 74.32 a day is how much you're paid.
So, if you miss 74.32 two days out of every month that'd be 148.64 because you miss two days of 74.32 and 74.32 x 2 = 148.64
12 months in a year
148.64 every month x 12 months a year
1783.68
But when I searched online, it said there is 52 weeks in a year.
If we go about the problem with 52 weeks in a year then this is the problem solution
26 days you miss
74.32 x 26
= 1932.32
