Answer:
Each item could be included in a set or not included. That gives 2^5 = 32 ways to choose sets, including 1 set with no items, 5 sets of 1 item, 10 sets of 2 items, 10 sets of 3 items, 5 sets of 4 items, and 1 set of 5 items.
Answer:
slope = 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2x - 3y = 12 ( subtract 2x from both sides )
- 3y = - 2x + 12 ( divide all terms by - 3 )
y =
x - 4 ← in slope- intercept form
with slope m = 
Answer:
It will take 10.63 years.
Step-by-step explanation:
Giving the following information:
Present value (PV)= $4,000
Future Value (FV)= $10,000
Interest rate (i)= 9% annual compounded
<u>To calculate the time required to reach $10,000, we need to use the following formula:</u>
n= ln(FV/PV) / ln(1+i)
n= number of years
n= ln(10,000 / 4,000) / ln(1.09)
n= 10.63
It will take 10.63 years.
Answer:
the first one, QPN and OPS
Explanation:
they're intersecting and opposites
hope that helped :)
TheProfessor35's answer is correct, but here's a step by step as you asked. PEMDAS stands from Parentheses Exponents Multiplication Division Addition Subtraction. So, in the problem, you first solve the part inside the parentheses. Are there exponents? No, so we move on. Anything need to be multiplied? Yes, 20.3 x 0.7. That gives us 14.21. Now, there is nothing left in the parentheses to be divided, added, or subtracted, so we move on to the outside. We multiply 14.21 by 7 and get 99.47.