30 hours because if there are 6 people working, each person will do 150 bags. it takes 300 minutes for each person to do 150 bags (150*2). it will take 1800 minutes for 6 people to do 900 bags (300*6). divide 1800 by 60 (minutes) and you get 30 hours
Answer:
$2,851.80
Step-by-step explanation:
Lets use the compound interest formula to solve:
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
First, change 1.1% into a decimal:
1.1% -> 
-> 0.011
Next, plug the values into the equation:
She will have $2,851.80 after 5 years.
Answer:
5 erasers.
Step-by-step explanation:
0.35e + 0.15p = 2.80
e + p = 12
e = 12 - p
0.35(12 - p) + 0.15p = 2.80
4.2 - 0.35p + 0.15p = 2.80
4.2 - 0.2p = 2.80
-0.2p = -1.4
-0.2p/-0.2p = -1.4/-0.2
p = 7
e = 12 - 7
e = 5
<span>f(x) = x</span>² <span>+ 12x + 6 </span>→ y = x² + 12x + 6<span>
Let us convert the standard form into vertex form.
1) Complete the squares. Isolate x</span>² and x terms.
<span>y - 6 = x</span>² + 12x
<span>
2) Create the perfect square trinomial. Whatever number is added on one side must also be added on the other side.
y - 6 + 36 = x</span>² + 12x + 36<span>
y + 30 = (x + 6)</span>²
<span>y = (x + 6)</span>² - 30 ← Vertex form
<span>
To check:
y = (x + 6) (x + 6) - 30
y = x</span>² + 6x + 6x + 36 - 30
<span>y = x</span>² + 12x + 6<span>
The zero that could be added to the given function is 36, -36</span>
the answer to this problem is -4
