Answer:
9) 5y
10) 10 x² - 4
11) 2a ∧5 + 5b
12) 8m +4n + 2
Step-by-step explanation:
9) 8 y - 3 y = 5y
10) 6x² + 4 (x²-1) = 6x²+ 4x²-4 = 10x²-4
11) 4a∧5 - 2a∧5 +4b + b = 2a∧5 +5b
12) 8m +14-12+4n = 8m+4n+2
Based on the types of compounding and the interest rates, the following are true:
- Part A - The group will have $750
- Part B - The group will have $759.19
When using simple interest, the amount the group will have is:
<em>= Amount x ( 1 + rate x number of years )</em>
= 600 x ( 1 + 5% x 5)
= $750
When using compound interest, the group will have:
<em>= Amount x ( 1 + rate) ^ Number of years</em>
= 600 x ( 1 + 4%)⁶
= $759.19
In conclusion, compound interest yields more.
<em>Find out more about </em><em>compound interest </em><em>at brainly.com/question/25263325. </em>
Answer:
A possible solution is that radius of cone B is 2 units and height is 36 units
Step-by-step explanation:
Step-by-step explanation:
The volume of a cone is given by
where
r is the radius
h is the height
Here we are told that both cones A and B have the same volume, which is:
And
(2)
We also know that cone A has radius 6 units:
and height 4 units:
For cone B, from eq.(2), we get
One possible solution for this equation is
In fact in this case, we get:
Therefore a possible solution is that radius of cone B is 2 units and height is 36 units, and we know that in this case Cone B has the same volume as cone A because it is told by the problem.
The graph that shows the solution to the system of inequalities is: C (see the image attached below).
<h3>How to Determine the Graph of the Solution to a
System of Inequalities?</h3>
Given the following systems of inequalities:
y < -1/3x + 1
y ≤ 2x - 3
Below are the features of the graph that represents a solution to the system of inequalities:
- The boundary line of y < -1/3x + 1 would be a dashed line and the shaded area would be below it, because of the inequality sign, "<".
- The boundary lines of y ≤ 2x - 3 would be a solid line and the shaded area would be below it, because of the inequality sign, "≤".
- The slope of the shaded line that represents y < -1/3x + 1, would be -1/3, and the line would be a decreasing line which intersects the y-axis at 1.
- The slope of the line that represents y ≤ 2x - 3, would be 2, and the line would also be an increasing line that intersects the y-axis at -3.
Therefore, the graph that shows the solution to the system of inequalities is: C (see the image attached below).
Learn more about the graph of the system of inequalities on:
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