Gifford earns money by shoveling for the winter. he offers two payment plans: either pay $400 per week for the entire winter or pay $5 for the first week, $10 for the second week, $20 for the third week, and so on. explain why each plan does or does not form a geometric sequence. then determine the number of weeks after which the total cost of the second plan will exceed the total cost of the first plan.

Plan 1 is arithmetic and Plan 2 is geometric. Week 10 is when plan 2 exceeds the cost of plan 1.

Step-by-step explanation:

The first payment plan offers $400 each week.

1   400

2   800

3   1200

4   1600

This plan is arithmetic since you add 400 for each week. Its represented by the equation y = 400x.

The second plan is $5 the first week and then doubles each week.

1  5

2  10

3  20

4  40

...

This plan is geometric since each week is multiplied by 2 for the next. It's represented by the equation y = 5(2^x).

At week 10 plan 2 becomes more expensive.

Plan 1 - y = 400(10) = 4000

Plan 2 - y = 5(2^10) = 5120

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

it is x=-4

step-by-step explanation: