Carla wants to buy a new bike before summer starts in one week. She saves $1 on the first day of the week, $2 on the second day, $4 on the third day, $8 on the fourth day, and continues this pattern the rest of the week. If the bike costs $150, Carla will
enough money to buy the bike before the start of summer.

Carla will have

.

Carla will have $127

Step-by-step explanation:

Carla saves $1 on the first day of the week, $2 on the second day, $4 on the third day, $8 on the fourth day, and so on.

This series of numbers corresponds to a geometric sequence of first term a1=1 and common ratio r=2.

We need to find the sum of n=7 terms of that sequence.

The sum of a geometric sequence is given by:

At the end of the week, Carla will have $127, not enough to pay for the bike before the start of summer.

Carla will have $127

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

what is the model?

step-by-step explanation: