Answer:
Hi! If y varies directly as x, then k=y/x. If this is the case then, as y increases, x should increase also by the same factor.
Step-by-step explanation:
1. y varies directly as x: k=y/x or y=x*k; K is the constant or the factor that dictates the increase or decrease of y or x.
Hopefully that makes since! There is a good article on SparkNotes that explains this concept better I think.
45 + ( 10 / 100 ) * 45 = 49.5 > 45 No
40 + ( 5 / 100 ) * 40 = 42 < 45 Yes
50 - ( 20 / 100 ) * 50 = 40 < 45 Yes
36 + ( 15 / 100 ) * 36 = 41.4 < 45 Yes
I remember doing this it was fun.
Answer:
73384 kilotons
Step-by-step explanation:
=> Total amount the 1st year = 90,000
=> Since after the 1st yr, there was a reduction of 4%, so 100% - 4% = 96% or 0.96
=> Total time = 6
We know that the formula of a geometric sequence is;
aₙ = a₁ * r⁽ⁿ⁻¹⁾
In which;
- aₙ = the value that has to be figured out (in this case it would be a₆)
- a₁ = the first term of the sequence (in this case it would be 90,000)
- r = common ration (in this case it would be 0.96)
- n = given time (in this case it would be 6)
Therefore we can finally say;
=> aₙ = a₁ * r⁽ⁿ⁻¹⁾
=> a₆ = 90,000 * 0.96⁶⁻¹
=> a₆ = 90,000 * 0.96⁵
=> a₆ = 73383.54
=> a₆ = 73384 (Rounded to the nearest whole number)
Therefore, rounding the answer to the nearest whole number, the answer would be; 73384 kilotons
Hope this helps! (Btw big shout out to jcherry99 for helping me figure this out!!)
