Answer:
$6 per carton.
Step-by-step explanation:
$54 divided by 9= $6
Answer:
The Least Common Multiple ( LCM ) is also referred to as the Lowest Common Multiple (LCM) and Least Common Divisor (LCD). For two integers a and b, denoted LCM (a,b), the LCM is the smallest positive integer that is evenly divisible by both a and b. For example, LCM (2,3) = 6 and LCM (6,10) = 30.
Step-by-step explanation:
Answer:
79
Step-by-step explanation:
60<xy<100
y -2 =x
if it is prime
y cannot be even
so y could be 1,3,5,7,9
x would then be 9,1,3,5,7
but to be between 60 and 100
x must be 7 or 9
so the number must be 79 or 57
57 is not prime so
the number is 79
Please write (x4 – 2) ÷ (x + 1) as <span>(x^4 – 2) ÷ (x + 1).
We can find the remainder using synth. div. as follows:
_________________
-1 / 1 0 0 0 -2
-1 1 -1 1
------------------------------
1 -1 1 -1 -1
The remainder is -1.</span>
Answer:
In the year 2010
Step-by-step explanation:
we have
![A=200e^{0.033t}](https://tex.z-dn.net/?f=A%3D200e%5E%7B0.033t%7D)
where
A is the population in thousands
t is the number of years since 1998
so
For A=297 thousands
substitute and solve for t
![297=200e^{0.033t}](https://tex.z-dn.net/?f=297%3D200e%5E%7B0.033t%7D)
simplify
![1.485=e^{0.033t}](https://tex.z-dn.net/?f=1.485%3De%5E%7B0.033t%7D)
Apply ln both sides
![ln(1.485)=ln[e^{0.033t}]](https://tex.z-dn.net/?f=ln%281.485%29%3Dln%5Be%5E%7B0.033t%7D%5D)
![ln(1.485)=(0.033t)ln(e)](https://tex.z-dn.net/?f=ln%281.485%29%3D%280.033t%29ln%28e%29)
Remember that
![ln(e)=1](https://tex.z-dn.net/?f=ln%28e%29%3D1)
![ln(1.485)=(0.033t)](https://tex.z-dn.net/?f=ln%281.485%29%3D%280.033t%29)
![t=\frac{ln(1.485)}{0.033}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7Bln%281.485%29%7D%7B0.033%7D)
![t=12\ years](https://tex.z-dn.net/?f=t%3D12%5C%20years)
1998+12=2010