Answer:
31 is a prime number.
How to tell if a number is prime: estimate the square root. In this case, we know the square root of 31 is between 5 and 6 and it isn’t divisible by either of those. If it is divisible by a number higher than it’s square root, the other factor must be lower. Is it divisible by 4 or 2? no, because it isn’t an even number. It’s not divisible by 3, because there’s a remainder of 1 if you try. You’ve eliminated all numbers less than the square root, so it is prime
Answer:
- mutual fund: $9000
- CDs: $71000
- return: $6220, an average of 7.775%
Step-by-step explanation:
Since the mutual fund is the lower yield vehicle, only the minimum should be invested there.
The investments and returns should be ...
mutual fund: $9000, return = 6% × $9000 = $540
CD: $71000, return = 8% × $71000 = $5680
The maximum return is ...
$540 +5680 = $6220
The distance: use absolute value
Between x and 8: x-8
The distance between x and 8: | x-8 |
“is no more than” means it can be that or be less than that, so use ≤
The distance between x and 8 is no more than 4
| x-8 | ≤ 4
