Answer:
257 is prime.
Step-by-step explanation:
To evaluate if a number is prime, we just need to evaluate it for the prime numbers that are equal or lesser than the said number's square root.
In this case, √257 = 16.03 so we just need to see if 257 is divisible by <u>2, 3, 5, 7, 11 and 13</u> (the prime numbers that come before 16)
- 257 is odd, so it is not divisible by 2.
- The sum of its digits is 14, therefore, it is not divisible by 3.
- 257 ends in 7, therefore it's not divisible by 5.
- 257/ 7 = 36.71 so it's not divisible by 7.
- 257/ 11 = 23.36 so it's not divisible by 11
- Finally 257 / 13= 19.76 so it's not divisible by 13.
Therefore, 257 is prime.
The amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)
<h3>How to calculate compound interest's amount?</h3>
If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

The final amount becomes:

For the considered case, we're given that:
- Initial amount Laura deposited = $5,500 = P
- Type of interest: Compound interest
- Unit of time: Annually
- Rate of interest = 1.6% annually = R
- Total unit of time for which amount is to be calculated: 4 years = T
The final amount at the end of 4 years in the considered account of Laura is evaluated as:

Thus, he amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)
Learn more about compound interest here:
brainly.com/question/11897800
Answer: 220 miles
Step-by-step explanation:
Distance travelled is calculated as:
= Speed × Time
Based on the scenario on the question, the total distance, in miles, of Darius' trip will be:
= (60 × 2) + (50 × 2)
= 120 + 100
= 220 miles