Answer:
- a) 125,220,046 barrels
- b) 71.25 years
Step-by-step explanation:
<u>Oil consumption:</u>
<u>Rate of increase of consumption:</u>
<u>Total reserves </u>
- 155*2000000 = 310000000 barrels
a) ....................................................................................
<u>Total oil consumption at the end of 42 years:</u>
- 2,000,000
- 2,000,000*1.02 =
- 2.000,000*1.02^2
- ...
- 2,000,000*1.02^41
<u>Sum</u>:
- 2000000*(1 + 1.02+ 1.02^2+ ...+ 1.02^41) =
- 2000000*(1.02^41 - 1)/(1.02 - 1) = 125,220,046 barrels
b) ....................................................................................
<u>Oil reserves will last:</u>
- 2000000*(1.02^x - 1)/(1.02 - 1) = 310000000
- (1.02^x - 1)/0.02 = 155
- 1.02^x - 1 = 155*0.02
- 1.02^x =1 +3.1
- 1.02^x = 4.1
- x log 1.02 = log 4.1
- x = log 4.1 /log 1.02
- x = 71.25 years
Step-by-step explanation:

Answer:
Step-by-step explanation:
Answer:
18.84 in^2
Step-by-step explanation:
Area brother ate = 1/6 x area of pizza
a pizza is the shape of a circle. the area of a pizza is equal to the area of a circle
Area of a circle = πr²
r = 12/2 = 6
he diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
3.14 x 6^2 = 113.04
1/6 x 113.04 = 18.84
Answer:
Step-by-step explanation:
<u>Total number of oranges:</u>
- 0*5 + 1*8 + 2*6 + 3*6 + 4*3 + 5*2 = 60
<u>Number of baskets:</u>
- 5 + 8 + 6 + 6 + 3 + 2 = 30
<u>Mean of the distribution of oranges:</u>
Correct choice is d