Did Yu Ever Find The Answer I got the same question??
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
Answer:
385 counters
Step-by-step explanation:
Since 1/6 of the counters are red and 1/4 of the counters are blue, there are:
1 - (1 / 6) - (1 / 4) = 7 / 12
Multiply it to find green:
660 x (7 / 12) = 385 counters
Multiply 520 students by 20% (0.20).
520 * 0.20 = 104
Multiply 104 students by 12.5% (0.125).
104 * 0.125 = 13
13 students were on the wrestling team.
dimes (d) = n + .80, nickels (n) = n
Make the dimes and nickels add up to $1.40 in an equation.
(n + .80) + n = 1.40
Combine like terms.
2n + .80 = 1.40
Subtract .80 from both sides.
2n = 0.60
Divide both sides by 2.
n = 0.30
Divide this by 0.05 (how many nickels are in a dollar).
0.30/0.05 = 6
d = n + 0.80 ⇒ 0.30 + 0.80 = 1.10
Divide this by 0.10 (how many dimes are in a dollar).
1.10/0.10 = 11
There are 6 nickels and 11 dimes in the bank.
=-35(4s-t)+21(4s-t)
=-140s+35t+84s-21t
=-140s+84s+35t-21t
=-56s+14t