The number of minutes for which Keith was billed = 97
Step-by-step explanation:
Step 1:
It is given that Keith pays a fixed fee of 3$ a month and 11 cents per minute for the number of minutes used.
Total cost = Fixed cost + Per minute cost
If x represents the number of minutes consumed in a month then we can compute the total cost using the below equation:
Total cost = 3$ + 0.11 * x
Step 2:
The total cost is 13.67$
Substituting in the equation we get
13.67 = 3 + 0.11 * x
x = 10.67 / 0.11 = 97 minutes
Step 3:
Answer:
The number of minutes for which Keith was billed = 97
The next three terms of sequence are 65, 129 and 257
<em><u>Solution:</u></em>
<em><u>Given sequence is:</u></em>
2, 3, 5, 9, 17, 33
We have to find the next three terms in sequence
<em><u>Let us find the logic used in this sequence</u></em>

Thus the sequence is increasing by 2 raised to power 0, 1, 2 and so on
<em><u>Thus the next three terms are found by:</u></em>

Thus the next three terms of sequence are 65, 129 and 257
Answer:
Tooth A
Step-by-step explanation:
Since the larger tooth has to be displayed, knowing that no matter how many zeros you add to the end of a decimal, the value of it will stay the same. 0.23 is 1 digit short that 0.195, so if you just add a 0 to 0.23, it make both of them have a digit in the thousandths place. Now it's easier to solve, 0.230>0.195.
Tooth A should be displayed.
Answer:
32.
Step-by-step explanation:
The correct answer for the exercise shown above, is the first option (Option A), which is:
A. <span>(1+1/18)^18
The explanation is shown below:
1- You have that the number e is an irrational number, therefore, its value is aproximated:
e=2.7182
2- You have the following expressions:
</span>(1+1/18)^18=2.6464
<span>(1+1/17)^17=2.6424
</span><span>(1+1/16)^16=2.6379
</span><span>(1+1/15)^15=2.6328
Therefore the value of the expression that is closest to e is the Option A.</span>