Answer:
a= 12
b=-2
Step-by-step explanation:
12 x -2 = -24
12 - (-2) = 14
12 + (-2) = 10
Answer:
![x = 18](https://tex.z-dn.net/?f=x%20%3D%2018)
Step-by-step explanation:
Given
![\frac{x}{6} - 7 = -4](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B6%7D%20-%207%20%3D%20-4)
Required
Solve for x
![\frac{x}{6} - 7 = -4](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B6%7D%20-%207%20%3D%20-4)
Add 7 to both sides
![\frac{x}{6} - 7+7 = -4+7](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B6%7D%20-%207%2B7%20%3D%20-4%2B7)
![\frac{x}{6} = -4+7](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B6%7D%20%20%3D%20-4%2B7)
![\frac{x}{6} = 3](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B6%7D%20%20%3D%203)
Multiply through by 6
![6 * \frac{x}{6} = 3 * 6](https://tex.z-dn.net/?f=6%20%2A%20%5Cfrac%7Bx%7D%7B6%7D%20%20%3D%203%20%2A%206)
![x = 3 * 6](https://tex.z-dn.net/?f=x%20%3D%203%20%2A%206)
![x = 18](https://tex.z-dn.net/?f=x%20%3D%2018)
Over time, compound interest at any rate will outperform simple interest. When the rates are nearly equal to start with, compound interest will be greater in very short order. Here, it takes less than 1 year for compound interest to give a larger account balance.
In 30 years, the simple interest will be
... I = P·r·t = 12,000·0.07·30 = 25,200
In 30 years, the compound interest will be
... I = P·(e^(rt) -1) = 12,000·(e^(.068·30) -1) ≈ 80,287.31
_____
6.8% compounded continuously results in more total interest
Answer:
option B. 18,12,12
Step-by-step explanation:
perimeter= 60 units
(consider a rectangle with sides a,b,c & d in order)
a= 18 units (given)
c=18 units (since opp. sides of a rectangle are equal)
now the remaining length= 60-(18+18)
= 60 - 36
= 24
so the sum of the remaining sides, ie, b+d= 24
since b and d are equal (opp.sides of a rect.)
b=d=24/2=12
therefore, b=12; c=18; d=12
i really hope i'm clear...but if i'm not then please do ask...