Answer:
(c) $80
Step-by-step explanation:
Each discounted price corresponds to the original price multiplied by a factor related to the discount. For a discount fraction of 'd', the multiplier is (1 -d).
This means you can use any of the lines in the table to find the original price.
<u>5% disount</u>: (1 -5%)·p = $76 . . . . where p is the original price
p = $76/0.95 = $80 . . . . . . . the original price
<u>10% discount</u>: (1 -10%)·p = $72
p = $72/0.90 = $80
<u>25% discount</u>: (1 -25%)·p = $60
p = $60/0.75 = $80
_____
<em>Additional comment</em>
The table values for 5% and 10% differ by 5% and $4. That means 5% of the original price is $4. There are two things you can do with this:
- add back that 5% to the 5%-discounted price: $76 +4 = $80
- multiply that 5% by 20 to get 100% of the original price: 20(5%) = 20($4) ⇒ 100% = $80.
Value of the expression will be 7
<u><em>Explanation</em></u>
Given value of the variables are : 
and 
Given expression: 
So, <u>plugging the values</u> of 
and 
into the above expression, we will get...
So, the value of the expression will be 7.
The following are the factors of 14xy⁴:
2, 7, 14, x, y, y², y³, y⁴, xy, xy², xy³, xy⁴, 2x, 2y, 2y², 2y³, 2y⁴, 2xy, 2xy², 2xy³, 2xy⁴, 7x, 7y, 7y², 7y³, 7y⁴, 7xy, 7xy², 7xy³, 7xy⁴, 14x, 14y, 14y², 14y³, 14y⁴, 14xy, 14xy², 14xy³
I did not list the original monomial, as we know it is a factor of itself.
Answer:
y = 936x + 3742
Step-by-step explanation:
If it is a linear model, then we should have a slope and y-intercept with the equation representing the model as;
y = mx + c
where m is the slope and c is the y-intercept
Thus, we have for the slope;
(8422-3742)/(2015-21010) = 4680/5 = 936
So the equation will be;
y = 936x + c
To get c , we can use the years after 2010 which is 2015 in this case
8422 = 936(5) + c
c = 8422- 4680
c = 3742
So the linear model is;
y = 936x + 3742
