Answer:
34.8 liters
Step-by-step explanation:
He has 35.8 liters.
He uses 28.6 liters.
Now that tanks has 35.8 liters - 28.6 liters = 7.2 liters
The capacity of the tank is 42 liters, and he has only 7.2 liters.
The fill up will be 42 liters - 7.2 liters = 34.8 liters
Triangles with height 
and base 
, with 
have area 
.
Such cross sections with the base of the triangle in the disk 
(a disk with radius 5) have base with length
i.e. the vertical (in the 
plane) distance between the top and bottom curves describing the circle 
.
So when 
, the cross section at that point has base
so that the area of the cross section would be 6^2/2 = 18.
In case it's relevant, the entire solid would have volume given by the integral
It will be 4f-30. Using substitution, you get (-8f-12) + (12f-18). Adding this together you get -8f-12+12f-18. Then you add -8f and 12f to get 4f, and add -12 and -18 to get -30.
Answer:
If we rent the same car from both companies it would take 8 days
Step-by-step explanation:
Johnson's 50+2x
Martinez 30+4x
After 10 years, there will have been 120 deposits. The last one earns 12%/12 = 1% interest, so is mutipied by 1.01. The one before is multiplied by 1.01². Overall, you have the sum of a geometric series of 120 terms with first term 10.10 and common ratio 1.01. That sum is given by the general formula
Sn = a1·(r^n -1)/(r -1)
S120 = 10.10(1.01^120 -1)/(1.01 -1)
S120 = 1010·2.30038689 ≈ 2323
At the end of the 10th year (before the first deposit of the 11th year), the account balance will be
$2,323
