Answer:
Each pencil cost $0.51
Step-by-step explanation:
x is less than or equal to -4 or x is greater than or equal to 5
x <= -4 or x>= 5
There is no intersection of both inequalities when we graph it in number line So, we write the interval notation separately for each inequality
for x<=-4 , x starts at -4 and goes to -infinity because we have less than symbol. Also we have = sign so we use square brackets
Interval notation is (-∞ , -4]
for x>= 5 , x starts at 5 and goes to infinity because we have greater than symbol. Also we have = sign so we use square bracket at 5
Interval notation is [5 , ∞)
Now combine both notation by a 'U' symbol Union
(-∞ , -4] U [5 , ∞)
Answer:
The second table of values.
Step-by-step explanation:
Let's put the x-values in the second table of values in correct number order:
x: -3, -2, -1, 0, 1
Now, let's write out the y-values in correct number order:
y: 1/4, 1, 4, 16, 64
Finally, let's rewrite the second table of values with the x-values in order and the corresponding y-values underneathe:
x: -3, -2, -1 0 1
y: 64, 16, 4, 1, 1/4
As it can be seen, as the x-values get bigger in value, the y-values get smaller exponentially, which is the definition of exponential decay.
Answer:
slope of line pass throught jk is 0.5 slope
since line perpendicular to jk then x × 0.5= -1 so slope of line perpendicular is -2
then eq of line is y= -2x -15
Hi there!
• Principle amount, P = $ 7, 250
• Rate of interest, r = 12 %
• No. of weeks in an year, n = 52
• Time period, t = 10 years
Aₜ = P [ 1 + (
) ] ᴺ ˣ ᵀ
A₁₀ = 7, 250 [ 1 + (
) ] ⁵² ˣ ¹⁰
Simplifying :-
A₁₀ = $ 24,037.59
Hence,
Option [ 1. ] - $ 24,037.59 is Correct
~ Hope it helps!
