As the administrative assistant in the provost's office, allie has to keep supplies stocked. she placed a stationary order for the office. she purchased 3 boxes of office paper for $89.97, pens for $43.96, and clips/rubber bands for $24.97. the total bill was $169.98. is this a reasonable amount if tax were added?

The total expense would be

Let x be the percentage of taxes: the expense after taxes would be

Which implies

So, she paid about 7% taxes, which seems quite reasonable

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation:

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)