19. a brand-new school district needs to generate id numbers for its student body. the district anticipates a total enrollment of 75,000 students within the next ten years. will a five-digit id number using the symbols 0, 1,…, 9 be enough? explain your reasoning.

  yes

Step-by-step explanation:

75000 is a 5-digit number, as are all the numbers up to 75000. 5 digits are sufficient to assign each student a unique number.

Comment on the answer

Usually, at least one check digit would be used to guard against errors such as transposition of digits. Many school districts have a lifetime longer than 10 years, so it seems likely the number of students in 50 years (for example) will exceed the 100,000 students that can be given 5-digit numbers. A 7-digit numbering scheme seems more appropriate, or a scheme that uses a combination of digits and letters.

marco saved more.   he saved $35 more.

step-by-step explanation:

1+2+3+4+5+6+7+8+9+10 = 55

2*10 = 20

55-20 = 35