Kayla runs a lemonade stand at the state fair. she sold 43 cups of lemonade during the first week. if her business grows 3.5% each week, how many cups of lemonade can she expect to sell 4 weeks later?

which exponential function rule represents kayla's business?

Step-by-step explanation:

Given,

The number of cups she sold in first week = 43,

Also, her business grows 3.5% each week,

So, the number of cups she sold in second week = (100+3.5)% of 43

= 103.5% of 43

= 1.035(43),

In third week = 103.5% of 1.035(43) = 1.035²(43),

In fourth week = 103.5% of 1.035²(43) = 1.035³ (43),

.........., so on,

Thus, the number of cups she will sold after x + 1 weeks or x weeks later from the first week =

If f(x) represents the number of cups x weeks later,

Which is the required function rule that represents her business.

Also, if x = 4,

The number of cups she will sell 4 weeks later,

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct

none of these

step-by-step explanation:

23 + 34 add up to 57 so just inform the teacher of this really stupid mistake