To solve this we are going to find the least common multiple of 8 and 12.
Remember that the least common multiple (LCM) of tow or more numbers is the smallest positive number that is multiple of those two or more numbers.
To find our LCM we are going to list the multiples of 8 and 12, and then, we are going to select the first common number in those lists:
Multiples of 8: 8,16,24,32,40,....
Multiples of 12: 12,24,36,48,...
Notice that the first common value between the two list is 24, and that is precisely the number of days it will take for drawing sessions to coincide.
We can conclude that after 24 days both<span> art studios will start a new drawing session on the same day.</span>
X equals to 48
The work is shown in the picture. I hope this helps.
Answer:
–x² + 12x + 5
Step-by-step explanation:
x² + 3x
–2x² + 9x + 5
The sum of the above expression can be obtained as follow:
.... x² + 3x
+ –2x² + 9x + 5
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
–x² + 12x + 5
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
Thus, the sum of x² + 3x and –2x² + 9x + 5 is –x² + 12x + 5
1200 ... i think this you mean
Answer:
$13,695.98
Step-by-step explanation:
We can use the continuous compound interest formula to solve:
<em>P = principal amount</em>
<em>r = interest rate (decimal)</em>
<em>t = time (years)</em>
<em />
First, lets change 8% into a decimal:
8% -> 
-> 0.08
Now, lets plug in the values:
The account balance after 10 years will be $13,695.98
