Each day, a zoo sells 8400 special admission passes to visitors. The passes allow these visitors to enter the park early. The number of visitors who pay the normal entry fee has been decreasing by 7% each day. Today, 56,000 visitors paid the normal entry fee. Which function represents what the total number of visitors to the zoo will be after x days? A. f(x)=56,000(0.93)x+8400
B. f(x)=56,000(0.93)x
C. f(x)=56,000(0.07)x
D. f(x)=56,000(0.07)x+8400

9514 1404 393

  A. f(x)=56,000(0.93)x+8400

Step-by-step explanation:

The growth rate is -7%, so the growth factor will be 1 -7% = 0.93. This is the base of the exponential term.

The 8400 special passes will add 8400 visitors to the park in addition to those who pay the regular fee. Thus the number of visitors is ...

  f(x) = 56,000(0.93^x) +8400 . . . . matches choice A

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

the answer is 54 sq. ft. i just did this question, on odyssey ware, and it was right. make brainliest.