Answer:
Step-by-step explanation:
<u><em>Answer:</em></u>
Part a .............> x = 11
Part b .............> k = 57.2
Part c .............> y = 9.2
<u><em>Explanation:</em></u>
The three problems deal with inverse variation between two variables
An inverse variation relation between two variables means that when one of the variables increases, the other will decrease (and vice versa)
<u>Mathematically, an inverse variation relation is represented as follows:</u>

where x and y are the two variables and k is the constant of variation
<u><em>Now, let's check the givens:</em></u>
<u>Part a:</u>
We are given that y = 3 and k = 33
<u>Substitute in the original relation and solve for x as follows:</u>

<u>Part b:</u>
We are given that y = 11 and x = 5.2
<u>Substitute in the original relation and solve for k as follows:</u>

<u>Part c:</u>
We are given that x=7.8 and k=72
<u>Substitute in the original relation and solve for y as follows:</u>
to the nearest tenth
Hope this helps :)
Answer:
|−0.658| < |−0.653|.
Step-by-step explanation:
X²=64
√x²=√64=8
x=8 (positive)
∛x=∛8=∛(2)³=2
∛x=2
This problem is mainly concerned with setting up an equation.
let's add the interest rates times their respective investment amounts:



simplify:

sum of interest:

1780 = (9000+x) 0.10 + x 0.06 + (11000-2x)0.08


solution:
He does not have any invested in the 6%, while he has 9000 invested at 10% and 11,000 invested at 8%
to check:


So this ended up being a trick problem because he does not actually have any invested in the 6% option.