The positive integer k has exactly two positive prime factors, 3 and 7. if k has a total of 6 positive factors, including 1 and k, what is the value of k? (1) 3^2 is a factor of k(2) 7^2 is not a factor of k

k is 63

Step-by-step explanation:

The positive integer k has exactly two positive prime factors, 3 and 7

Lets write the combination of prime factors including 1  and k

1, 3, 7, _ , _ , k

using the above factors 3 times 7 is also the factor

so 21 is the other factor

1, 3, 7, 21 , _ , k

Now we use the given statements

(1) 3^2 is a factor, so 9 is also a factor

1, 3, 7, 21 , 9 , k

7^2 is NOT a factor of k. so 49 is not a factor of k

So 3,3  and 7 is the factor of k

K is 63

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: