Answer:
D. Drawing 50 names from a hat containing the names of every student in the school.
<em>T</em><em>h</em><em>e</em><em> </em><em>a</em><em>n</em><em>s</em><em>w</em><em>e</em><em>r</em><em> </em><em>i</em><em>s</em><em> </em><em>a</em><em>t</em><em>t</em><em>a</em><em>c</em><em>h</em><em>e</em><em>d</em><em> </em><em>t</em><em>o</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>p</em><em>i</em><em>c</em><em>t</em><em>u</em><em>r</em><em>e</em><em> </em><em>.</em>
Step-by-step explanation:
<em>h</em><em>o</em><em>p</em><em>e</em><em> </em><em>i</em><em>t</em><em> </em><em>h</em><em>e</em><em>l</em><em>p</em><em>s</em><em> </em><em>!</em><em>!</em>
Rewrite the given equation as

.
Since

, you can conclude that the imimum value of y will be gained for the minimum value of

. The minimum value of

is 0 for x=2.
So, y(2)=0+4=4.
Answer: minimum value of y is 4, when x=2.
Step-by-step explanation:
Total amount to spend = 8096.35
Amount already spent = 894. 60 + 1009.99 + 658.50 = 2563.09
Amount left to spend = 5533.26
Answer:
$3100 is invested at 9%
$4900 is invested at 11%
Step-by-step explanation:
Let's take "x" be the amount invested at 9%.
(x + 1800) is invested in another account at 11%.
The interest amount earned by the two accounts is $818.
Here we can use the simple interest formula and find the amount invested in each account.
Simple interest (I) = , where P- is the principal , N is the number of years and R is the interest rate.
Simple interest =
0.09x + 0.11(x+1800) = 818
Now we have to simplify and find the value of x .
Use the distributive property and simplify the second term.
0.09x + 0.11x + 198 = 818
0.2x + 198 = 818
0.2x =818 - 198
0.2x = 620
x = 620/0.2
x = 3100.
So $3100 is invested at 9%
x + 1800 = 3100 + 1800
= $4900
$4900 is invested at 11%
Hope this helped.