Answer:
Step-by-step explanation:
Given that A = {2, 4, 6}, B = {2, 6}, C = {4, 6}, and D = {4, 6, 8}.
We know that P is a subset of Q if all elements of P are also in Q
Using this let us compare pairwise
A and B
The elements of B are also in A
So B is a subset of A
Next A and C,
All elements of C are in A. So C is a subset of A
B and C. We find neither is a subset of other
B and D. Here also 2 is not in D so not a subset
C and D
C is a subset of D
SO answer is
B and C are subsets of A and C is also a subset of D
<span>4x = 80,000
x= 80,000/.4
x = 200,000</span>
Answer:
<h2>m = 21, b = 5 → y = 21x + 5</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept → (0, b)</em>
The formula of a slope:
=====================================
From the table we have y-intercept (0, 5) → <em>b = 5 </em>and other point (1, 26).
Calculate the slope:
Answer:
Function for given situation is :
Value of computer after 4 years = $720.3.
Step-by-step explanation:
Given that the value of a $3000 computer decreases about 30% each year. Now we need to write a function for the computers value V(t). then we need to find about how much will the computer be worth in 4 years.
It clearly says that value decreases so that means function represents decay.
For decay we use formula:
where P=initial value = $3000,
r= rate of decrease =30% = 0.30
t= number of years
A=V(t) = future value
so the required function is
or
Now plug t=4 years to get the value of computer after 4 years.
Hence final answer is $720.3.
Answer:
Step-by-step explanation:
The difference is a2 - a1 = 31 - 24 = 7
n = 500
a500 = a1 + (500 - 1) * 7
a500 = 24 + 499 * 7
a500 = 24 + 3493
a500 = 3517