Answer:
<em>The total percentage discount was 19%</em>
Step-by-step explanation:
<u>Percentages</u>
Suppose the original price of the shirt was x.
A discount of 10% reduces the price by:
10*x/100 = 0.1x
Thus, the discounted price is:
x - 0.1x = 0.9x
The second discount reduces the price by:
10*0.9x/100 = 0.09x
The new discounted price is:
0.9x - 0.09x = 0.81x
With respect to the original price, the last discounted price has been discounted by:
x - 0.81x = 0.19x
This means the total percentage discount was 0.19*100 = 19%.
The total percentage discount was 19%
The answer would be D) 98.8% because if the initial price is $25 per share, then Gavin would have spent $12,500. None of the other answers make sense since if it was just 3% or 82.3%, then it would be too much to equal $150 in return. If you were to put C, then the shares would equal $4.43 each, and If you bought 500 shares, then it would equal $2,212.5 which would be way more than $150. In the other hand, D is correct because then only 1 share would equal $0.3 and that multiplied by 500 equals precisely $150.
Hope this helps!
It’s a grouping of linear(straight line)equations that deal with the same variables. Hope that helped?
Answer:
C
Step-by-step explanation:
interior angle + exterior angle are supplementary
interior angle = 180° - exterior angle
⇒ interior angle = 180° - 135° = 45°
and interior angle = 180° - 100° = 80°
The sum of the 3 angles in a triangle = 180°
To find the third interior angle, subtract the sum of the 2 interior angles from 180
third interior angle = 180° - (45 + 80 )° = 180° - 125° = 55°
interior angles are 45°, 55° and 80°
a = 30
a = 16
-a² + 46a -480 = 0
(-a + 30) (a -16) = 0
(-a)(a) + (-a)(-16) + 30(a) + 30(-16) = 0
-a² + 16a + 30a -480 = 0
-a² + 46a - 480 = 0
(-a + 30) = 0 ; (a - 16) = 0
-a = -30 ; a = 16
a = 30
To check:
a = 30
-(30)² + 46(30) - 480 = 0
-900 + 1380 - 480 = 0
480 - 480 = 0
0 = 0
a = 16
-(16)² + 46(16) - 480 = 0
-256 + 736 - 480 = 0
480 - 480 = 0
0 = 0
