A rental car company charges $23.95 per day to rent a car and $0.08 for every mile driven. Nathan wants to rent a car, knowing that: He plans to drive 400 miles.

He has at most $440 to spend.

Which inequality can be used to determine x, the maximum number of days Nathan can afford to rent for while staying within his budget?

$23.95x + $32 ≤ $440

Step-by-step explanation:

x ≤ ($440 - 400($0.08)) / $23.95

Which can be reduced to

x ≤ ($440 - 32) / $23.95

and rearranged

$23.95x ≤ ($440 - $32)

$23.95x + $32 ≤ $440

where x is an integer.

you have 6 cupcakes

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)