Answer:
Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%.
Step-by-step explanation:
Given that Elena receives $ 131 per year in simple interest from three investments totaling $ 3000, and part is invested at 3%, part at 4% and part at 5%, and there is $ 1000 more invested at 5% than at 4%, to find the amount invested at each rate, the following calculations must be performed:
1500 x 0.05 + 500 x 0.04 + 1000 x 0.03 = 75 + 20 + 30 = 125
1600 x 0.05 + 600 x 0.04 + 800 x 0.03 = 80 + 24 + 24 = 128
1700 x 0.05 + 700 x 0.04 + 600 x 0.03 = 85 + 28 + 18 = 131
Therefore, Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%
Circles will never have a side but they only have 1 line that can be counted as a side.
Let x be the number of people that can be seated.
The value of x is some number 0 or greater, such that this number is a whole number (we can't have half a person). This means that

which is the same as saying

The instructions state that we can seat up to 1200 people. This is the max capacity. We can't go over this amount. So we will also have

indicating that x can be less than 1200 or equal to 1200.
So putting the two inequalities together, we get

Note: if you haven't learned about compound inequalities yet, then the teacher may only want

as the answer.
X=7.5 area= 42
You know that the total perimeter is 39 so to find x you need to add what you already have. You’ll find there are 3 sides you don’t know the length of and all you have to do is find the shorter one which is basically 9-7=2 then add everything together and subtract it from 39 then divide it by 2 to find the two sides left
<h3>The projected amount the average American spent on health care in 2014 is $ 10075.91</h3>
<em><u>Solution:</u></em>
Given that,
The average American spent $8,508 on health care in 2011
The cost of health care is projected to rise about 5.8% per year for the years 2012-2022
<em><u>The increasing function is given as:</u></em>

Where,
y is future value
a is initial value
r is growth rate in decimal
t is number of years
From given,
a = 8508

t = 2011 to 2014 = 3 years
<em><u>Substituting the values, we get,</u></em>

Thus the projected amount the average American spent on health care in 2014 is $ 10075.91