Answer:
6.66%
Step-by-step explanation:
((1 + r/m)^n) - 1
Interest rate , r = 6.5%
m = number of compounding times per period = 4 (quarterly interest)
((1 + 0.065/4)^4) - 1
((1 + 0.01625) ^4) - 1
((1.01625)^4) - 1
1.06660 - 1
= 0.0666
0.0666 * 100%
= 6.66%
Here is the solution of the given problem above.
First, let's analyze the question.
Given: 1 bag = 9/10 pound
2/3 bag = ? pound
What we are going to do is to divide 9/10 pound to 3.
so 9/10 divided by 3 and we get 9/30 and to simplify that, 3/10.
So per 1/3 of the bag, there is 3/10 pound.
To get the weight for 2/3 of the bag, we multiply 3/10 by 2 and we get 6/10 or to simplify it, it is 3/5. Therefore, the 2/3 bag weights 3/5 pound. Hope this answer helps.
To find equivalent inequalities you have to work the inequality given.
The first step is transpose on of sides to have an expression in one side and zero in the other side:
x - 6 x + 7
--------- ≥ --------
x + 5 x + 3
=>
x - 6 x + 7
--------- - -------- ≥ 0
x + 5 x + 3
=>
(x - 6) (x + 3) - (x + 7) (x + 5)
--------------------------------------- ≥ 0
(x + 5) (x + 3)
=>
x^2 - 3x - 18 - x^2 - 12x - 35
--------------------------------------- ≥ 0
(x + 5) (x + 3)
15x + 53
- ------------------- ≥ 0
(x + 5) (x + 3)
That is an equivalent inequality. Sure you can arrange it to find many other equivalent inequalities. That is why you should include the list of choices. Anyway from this point it should be pretty straigth to arrange the terms until making the equivalent as per the options.
The center of mass is mathematically given as
<h3>What is the center of mass.?</h3>
Determine the center of mass in one dimension:
Represent the masses at the respective distances.
We calculate the total mass of the system.
Step 03: Calculate the moment of the system.
we calculate the center of mass.
Read more about the center of mass.
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