The sum of the first n terms in a geometric sequence given the first term (a1) and the common ratio (r) is calculated through the equation,
<span>Sn </span>= (<span><span><span>a1</span>(1−<span>r^n</span>) / (</span><span>1−r)
Substituting the known terms,
Sn = (20)(1 - (1/4)^4)) / (1 - 1/4)
Sn = 26.5625
Thus, the sum of the first four terms is 26.5625. </span></span>
Answer: 3/4 as a decimal is 0.75
Step-by-step explanation: 0.75 is the percent. so it is 75%
Hope this helps :)
<h3>
Answer: 8</h3>
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Work Shown:

It will take 8 hours for the population to reach 196,608 bacteria.
10/8 in simplest form:
First, we can start off by finding the GCF of the denominator and the numerator. To do so, we need to list the factors of each of them and find the common ones.
Factors of 10: 1, 2, 5, 10
Factors of 8: 1, 2, 4, 8
We can see that our common factors are 1 and 2, considering that both the numerator and denominator has the same factors (1 and 2). Since we have our common factors, we need to find the greatest. Which is the greatest out of 1 and 2? The GCF is 2 because it is bigger than 1.
Second, divide the numerator and the denominator by the GCF (2).

Third, now we can revise our fraction and turn it into the simplest form. Take the two numbers you just got above us and put them in their numerator and denominator spot. You should get:

Answer in fraction form:

Answer in decimal form:

Answer in mixed number form:
Answer:
0.0325
Step-by-step explanation:
3.25% = 3.25 over 100 or,
3.25%=3.25100
3.25 over 100 is the same as 3.25 divided by 100. Completing the division we get:
3.25 ÷ 100 = 0.0325
Therefore, we have shown that
3.25% = 0.0325