,Okay, so here is how to calculate the amount of the trade discount:
I: $149,500 * .10 (10%) = 14,950 (this is the 10% discount)
149,500 - 14,950 = 134,550 (how much it costs with a 10% discount)
II: 134,550 * .5 (5%) = 6727.50
134,550 - 6727.50 = 127,822.50
III: 127,822.50 * .4 (4%) = 5112.90
The amount of the trade discount is: $14,950 + $6727.50 + $5112.90 = 26,790.40 dollars.
All you have to do is multiply 3/4 of a mile times two because she walked round trip. The answer is 1.5 miles
Answer:
The coordinates of the mid-point of JL are (-5 , 2)
Step-by-step explanation:
If point (x , y) is the mid-point of a segment whose end-points are
and
, then
and 
∵ JL is a segment
∵ The coordinates of J are (-6 , 1)
∴
= -6 and
= 1
∵ The coordinates of L are (-4 , 3)
∴
= -4 and
= 3
Lets use the rule above to find the mid-point of JL
∵ 
∴ x = -5
∴ The x-coordinate of the mid-point is -5
∵ 
∴ y = 2
∴ The y-coordinate of the mid-point is 2
∴ The coordinates of the mid-point of JL are (-5 , 2)
Answer:
![-7ab\sqrt[3]{3ab^2}](https://tex.z-dn.net/?f=-7ab%5Csqrt%5B3%5D%7B3ab%5E2%7D)
Step-by-step explanation:
Remove perfect cubes from under the radical and combine like terms.
![2ab\sqrt[3]{192ab^2}-5\sqrt[3]{81a^4b^5}=2ab\sqrt[3]{4^3\cdot 3ab^2}-5\sqrt[3]{(3ab)^3\cdot 3ab^2}\\\\=(8ab -15ab)\sqrt[3]{3ab^2}=\boxed{-7ab\sqrt[3]{3ab^2} }](https://tex.z-dn.net/?f=2ab%5Csqrt%5B3%5D%7B192ab%5E2%7D-5%5Csqrt%5B3%5D%7B81a%5E4b%5E5%7D%3D2ab%5Csqrt%5B3%5D%7B4%5E3%5Ccdot%203ab%5E2%7D-5%5Csqrt%5B3%5D%7B%283ab%29%5E3%5Ccdot%203ab%5E2%7D%5C%5C%5C%5C%3D%288ab%20-15ab%29%5Csqrt%5B3%5D%7B3ab%5E2%7D%3D%5Cboxed%7B-7ab%5Csqrt%5B3%5D%7B3ab%5E2%7D%20%7D)