-2x + 12 < - 4......subtract 12 from both sides
-2x + 12 - 12 < -4 - 12....simplify
-2x < -16...divide both sides by -2, changing the inequality sign
(-2/-2)x > -16/-2....simplify
x > 8
Get the equation to slope-intercept form: y = mx + b
6x + 3y = 6
Subtract 6x from both sides. This will give you 3y = -6x + 6.
Then, divide by 3 on both sides. This gives you y = -6x + 2.
2 is your y intercept and -6 is your slope.
Trial and error specifies that you should guess the value of m and see if you aimed too low too high then adjust your next guess based on that.
Suppose we don't already know what m is (even though it is completely obvious), let's pick m to be 6,
So we check,
but
which means m must be bigger.
So we pick m to be 8 and check,
but
which means m must be smaller.
Since only natural number between 6 and 8 is 7 we pick m to be 7 and check,
and
.
The answer is therefore 7.
Hope this helps :)
Answer:
$607.75
Step-by-step explanation:
As a first approximation, compound interest will be slightly higher than simple interest for a relatively short time period. Here simple interest at 5% for 4 years will add 4×5% = 20% to the value, adding about $100 to the initial $500 value. That is, we expect the value in 4 years to be slightly more than $600.
The appropriate answer choice is $607.75.
_____
The actual amount can be calculated using the multiplier 1.05 for each of the 4 years, or 1.05^4 ≈ 1.21550625 for the entire period. Then the predicted item value is ...
$500 × 1.21550625 = $607.753125 ≈ $607.75