Three new roommates each pay toward the rent and groceries. allison agrees to pay 35% of the costs, and betsy agrees to pay 0.4 of the costs. caroline will pay the remaining balance. their first payment was $1,160, and their first grocery bill was $130. caroline claims the she owes $322.50 toward theses two costs. is her claim correct?

She is correct

Step-by-step explanation:

The total amount the three roommates must pay is $1,160+$130= $1,290

Allison must pay:

$1,290*0.35= $451.5

Betsy must pay:

$1,290*0.4= $516

Both Allison and Betsy payments sum: $967.5

Caroline must pay: $1,290-$967.5= $322.5

She is correct because she agreed to pay the remaining balance, which in this case is $322.5

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

step-by-step explanation: