Answer:
v(m) = 8 + 48m+ 180m² +216m³
Step-by-step explanation:
Let's first of all represent the edge of the the cube as a function of minutes.
Initially the egde= 2feet
As times elapsed , it increases at the rate of 6 feet per min, that is, for every minute ,there is a 6 feet increase.
Let the the egde be x
X = 2 + 6(m)
Where m represent the minutes elapsed.
So we Al know that the volume of an edge = edge³
but egde = x
V(m) = x³
but x= 2+6(m)
V(m) = (2+6m)³
v(m) = 8 + 48m+ 180m² +216m³
Answer:
8 hours
Step-by-step explanation:
First, let's find how much Bentley gets from clearing tables.
5 hours • $8 per hour = $40 total
We can take $40 off his $180 total, leaving the rest for when we figure out how much he needs to work lifeguarding.
$180 needed - $40 earned = $140 left to earn
We know that Bentley makes $18 an hour lifeguarding, so in order to get the number of hours he would need to work in order to make $140, we can divide it by $18.
$140 needed ÷ $18 per hour = 7.77...
We need to convert this to a whole number because we're talking about hours worked, so Bentley would need to work 8 hours lifeguarding to make $140 more. He can only work 15 hours total, so let's check if this exceeds his limit.
5 hours clearing tables + 8 hours lifeguarding = 13 hours < 15 hours max
It is possible to make $180 total from this work schedule, so your answer would be 8 hours.
Principal Balance: 2000
Compound Interest: 3%
Type: Yearly
2000 x 1.03 = 2060
Year 1 : £2060
2060 x 1.03 = 2121.8
Year 2: £2121.8
There will be £2,121.80 in the account after 2 years.
