Answer:
x > -1
Step-by-step explanation:
Simplify the inequality using the distributive property (multiply the term outside the bracket with each number inside the bracket). Then, isolate 'x' by performing the reverse operations for every number that's on the same side as 'x'. (Reverse operations 'cancel out' a number.)
18 < -3(4x - 2) Expand this to simplify
18 < (-3)(4x) - (-3)(2) Multiply -3 with 4x and -2
18 < -12x + 6 Start isolating 'x'
18 - 6 < -12x + 6 - 6 Subtract 6 from both sides
18 - 6 < -12x '+ 6' is cancelled out on the right side
12 < -12x Subtracted 6 from 18 on the left side
12/-12 < -12x/-12 Divide both sides by -12
12/-12 < x 'x' is isolated. Simplify left side
-1 < x Answer
x > -1 Standard formatting puts variable on the left side
The answer is 216 cubic feet. How? All you have to do is multiply every number then divide it by 2. Like this: 2*12*18=432. 432/2= 216 cubic feet.
Answer:
interest earned= 292.878
the future value of an annuity= 892.878
Step-by-step explanation:
Given Data:
Interest rate= 5%
time,t = 8 years
Quarterly payment, P= 600
n= 4 as quarterly
At the end of 8 years, final investment A= ?
As per the interest formula
A= P(1+r/n)^nt
= 600(1+0.05/4)^32
= 892.878
Interest earned = A-P
= 892.878-600
= 292.878 !
Answer:
x = 4
Step-by-step explanation:
An angle bisector divides an angle into two equal parts. This means that you can set the two parts equal to each other and solve for x.
8x + 35 = 11x + 23
(8x + 35) - 35 = (11x + 23) - 35
8x = 11x - 12
8x - 11 x = (11x - 12) - 11x
-3x = -12
(-3x)/-3 = -12/-3
x = 4
