Check my answers -

the yearly attendance at a local move theatre is 42,000 and grows continuously at a rate of 5.9% each year. what is the approximate attendance at the movie theater in seven years?

a. 43,467
b. 59, 346
c. 63, 476
d. 62, 737 **

the number of customers that visit a local small business is 29,600 and has been continuously declining at a rate of 2.9% each year. what is the approximate number of customers that visit the buisness in 10 years?

a. 22,149 **
b. 21,874
c. 39,558
d. 22,054

I can tell you for sure that the answer to the first one is

C) 63,475

and the second is

A) 22,149

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

the expression (1.26)2t reveals the approximate rate of increases in the number of plants semiannually.

hope this : )