Answer:
Please check the explanation!
Step-by-step explanation:
Given the equation
As some of the absolute rules are:
NOW, let us solve!
Let us substitute all the table values
Putting x = -4
∵
So, when x = -4, then y = -7
Putting x = -3
when x = -3, then y = -5
Putting x = -2
when x = -2, then y = -3
Putting x = -1
when x = -1, then y = -1
Putting x = 0
when x = 0, then y = -3
Putting x = 1
when x = 1, then y = -5
The graph is also attached below.
Answer:
Yes
Step-by-step explanation:
A proportion is an equation with a ratio on each side. And when you reduce 6/8 to the lowest form, it is 3/4
1/4 = 0.25
2/3 = 0.666666667
0.25(0.666666667) = 0.166666667 =
______________________________
Answer:
R = 5% per year
Step-by-step explanation:
Solving for rate r as a decimal
r = n[(A/P)^1/nt - 1]
r = 4 × [(4,835.71/3,092.00)^1/(4)(9) - 1]
r = 0.05
Then convert r to R as a percentage
R = r * 100
R = 0.05 * 100
R = 5%/year
Summary:
The interest rate required to get a total amount of $4,835.71 from compound interest on a principal of $3,092.00 compounded 4 times per year over 9 years is 5% per year.
Answer:
-11
Step-by-step explanation:
If we call x the least integer, then x + 1 is the next integer, and x + 2 is the greatest integer.
x (x + 1) (x + 2) = -1716
x (x² + 3x + 2) = -1716
x³ + 3x² + 2x = -1716
x³ + 3x² + 2x + 1716 = 0
That's not an easy equation to factor. We could use rational root test, but that would take a long time. However, we can narrow down the options logically. The three integers are relatively close together, so if we approximated the product as x³:
x³ ≈ -1716
x ≈ -11.9
So let's see if x = -12 is a solution:
(-12)³ + 3(-12)² + 2(-12) + 1716 = 396
Nope. Let's try x = -11:
(-11)³ + 3(-11)² + 2(-11) + 1716 = 726
Not that either. Let's go the other direction, x = -13:
(-13)³ + 3(-13)² + 2(-13) + 1716 = 0
Aha! x = -13. So x + 1 = -12, and x + 2 = -11.
-11 × -12 × -13 = -1716
The greatest integer is -11.
