The simple interest formula is I = P * r * t
P is the principal (2,000)
r is the interest rate (7% or 0.07)
t is the time (5)
2000 * 0.07 * 5 = 700
$700.00 is the interest
Joe has to pay $700.00 in interest.
Hope this helps :D
Answer:
-45
Step-by-step explanation:
PEMDAS
First, parenthesis:
4 + 21 = 25
1 - 71 = 7
Then Subtraction:
25 - 70 = -45
Answer:
steps below
Step-by-step explanation:
x-a=0
x=a plug in xⁿ - aⁿ
xⁿ - aⁿ = aⁿ - aⁿ = 0
(x-a) must be a factor of xⁿ - aⁿ
Answer:
- It is the last graph: solid line, shaded area over the line x = 2 - x/2
Explanation:
1) <u>Set the algebraigic expression that represents the combinations of sofa and pillow orders:</u>
- Number of sofas: x (given)
- Number of pillows: 2y (given, since they come in pairs)
- Number of items = number of sofas + number of pillows = x + 2y
- Minimum of 4 items in each order (given) ⇒ x + 2y ≥ 4
<u>2) Predict the graph of the inequality x + 2y ≥ 4</u>
- The border line is the equation x + 2y = 4
- You can choose two points to draw a line
- Choose the axis-intercepst:
x = 0 ⇒ 2y = 4 ⇒ y =4/2 ⇒ y = 2 ⇒ point (0,2)
y = 0 ⇒ x = 4 ⇒ point (4,0)
Then the lines goes through (0,2) and (4,0) ... [the four graphs meet this]
- The shading area is above the line because when you solve for y you get y ≥ 2 - x/2, and the line is included because the "equal to" part of the symbol (≥ means greater than or equal to).
- To state that the line is included the graph uses a continous line instead of a dotted one.
<u>3) Conclusion:</u>
That means that the correct graph is the last one: solid line, shaded area over the line y = 2 - x/2.
Note: a more detailed graph would include the fact that the items cannot be negative, i.e. x ≥ 0 and y ≥ 0, which would result in that the shaded area would be on the first quadrant.
