<h2>
Hello!</h2>
The answer is: 23.77 hours
<h2>
Why?</h2>
Where:
Total(t) is equal to the amount for a determined time (in hours)
<em>Start</em> is the original amount
<em>t </em>is the time in hours.
For example, it's known from the statement that the bacteria double their population every 15 hours, so it can be written like this:
To calculate how long it takes for the bacteria cells to increase to 300, we should do the following calculation:
So, to know if we are right, let's replace 23.77 h in the equation:
Total(t)=100*2^\frac{23.77}{15}=299.94
and 299.94≅300
Have a nice day!
$216 x 0.08 = $17.28.
Therefore $17.28 was collected for sales tax.
we know that
Step 
in the right triangle XYZ
Applying the Pythagorean Theorem
Find the value of ZY
Step 
in the right triangle XYZ
Find tan
°
we know that
in this problem
opposite side angle is ZY
adjacent side angle is XZ
so
therefore
the answer is
Answer:
24 terms
Step-by-step explanation:
The sum of an arithmetic sequence is the average of the first and last terms, multiplied by the number of terms. The last term is given by ...
an = a1 + (n-1)d
We have a sequence with first term a1 = 2 and common difference d = 2. So the last term is ...
an = 2+ 2(n -1) = 2n
Then the average of first and last terms times the number of terms is ...
Sn = 600 = n(2 + 2n)/2 = n(n+1) . . . . . . close to n²
We can solve the quadratic in n, or we can estimate the value of n as the integer just below the square root of 600.
√600 ≈ 24.5
so we believe n = 24.
_____
<em>Check</em>
S24 = 24·25 = 600 . . . . . . as required.
