Can someone pls help me with this ASAP

Mathematics

2 answers:

LenKa [72]3 years ago

6 0

Answer:

95 5/8 i thin k

Step-by-step explanation:

Ivahew [28]3 years ago

3 0

I think us k but I’m sure

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A country has 155 years of oil reserves at the current rate of consumption. Suppose that the demand for oil in the country is 2,

Alex17521 [72]

Answer:

a) 125,220,046 barrels
b) 71.25 years

Step-by-step explanation:

Oil consumption:

2000000 barrels/year

Rate of increase of consumption:

2% = 0.02 per year

Total reserves

155*2000000 = 310000000 barrels

a) ....................................................................................

Total oil consumption at the end of 42 years:

2,000,000
2,000,000*1.02 =
2.000,000*1.02^2
...
2,000,000*1.02^41

Sum:

2000000*(1 + 1.02+ 1.02^2+ ...+ 1.02^41) =
2000000*(1.02^41 - 1)/(1.02 - 1) = 125,220,046 barrels

b) ....................................................................................

Oil reserves will last:

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

8 0

4 years ago

Given that MNOP is a rectangle, find x and y.

IceJOKER [234]

In rectangle, all the angles are 90°. ∠M =∠N = ∠O = ∠P = 90°. Therefore 2X - 10 = 90 and 3Y + 9 = 90. Therefore X = 50 and Y = 27. So option B is correct.

8 0

3 years ago

Find the area of the following shape. You must show all work to receive credit. (10 points)

nalin [4]

Triangle ABF has base 10 and height 3, so area (1/2)*10*3 = 15.

Trapezoid EBCD has bases 6 and 7 and height 6, so area
.. (6+7)*6/2 = 39

The total area of the figure is
.. 15 +39 = 54 . . . . . square units