Answer:
95 is not a term here as the next verse should be 98 as it is a 94 term in this pattern
Answer:
Step-by-step explanation:
(3/3)(3/8) + (8/8)(1/3) = (8+9)/24 = 17/24 people are running
Answer:
Option D is not a rational number
Step-by-step explanation:
A rational number is one that can be represented in the form of fraction like X/Y, where X and Y are integers and X ≠ 0. While an irrational number is one that cannot be expressed in the form of simple fractions.
For example, ¾ is a rational number while √3 is an irrational number.
Now to the question;
A) The product of 2 and 0.3333 gives;
2 × 0.3333 = 0.6666.
This can be expressed as a fraction as; 6666/10000.
Thus it is a rational number
B) The sum of 2 + √3 and 5 - √3 gives;
2 + √3 + 5 - √3 = 7
As a fraction, it can be written as; 7/1
Thus it is a rational number.
C) The sum of 37 and 12 is;
37 + 12 = 49
Can be expressed as; 49/1
Thus,it's a rational number.
D) Product of 2 and √2 gives;
2 × √2 = 2√2
It can't be expressed as a fraction with integers. Thus, it's not a rational number.
The equations out of the following that are true would be:
- A) and B):
÷ 
←(Options A and B were the same.)
The remaining two I am not certain if they are true or not. The way they were laid out made little to no sense. If you could maybe evaluate further on the other options, perhaps I can double check them for you and see if there are any other remainder options that are true. However, I know for certain that A and B are true.
Answer:
13.6 years
Step-by-step explanation:
Let Ao be the initial value. We're interested in finding out how long it will take for A to double in value, that is, become equal to 2Ao.
We get:
2Ao = Ao(1 + 0.05/12)^(12t)
and must solve this for t.
Dividing both sides by Ao yields 2 = 1(1 + 0.05/12)^(12t), or
2 = (1 + 0.00427)^(12t)
Solve for t by taking the common log of both sides:
log 2 = 12t·log (1.00427), or
0.30103 = 12·t·0.00185. Performing the multiplication on the right side, we get
0.30103 = 0.0222t.
Dividing both sides by 0.0222, we get:
0.30103
t = -------------------- = 13.56
0.0222
It will take this investment about 13 1/2 years to double in value.
Rounded to the nearest tenth, that'd be 13.6 years.
