A(n) = –3 • 2⁽ⁿ⁻¹⁾
for n = 1 , A₁ = -3.(2)⁰ = -3
for n = 2 , A₂ = -3.(2)¹ = -6
for n = 3 , A₃ = -3.(2)² = -12
for n = 4 , A₄ = -3.(2)³ = -24
...........................................
for n = 8 , A₈ = -3.(2)⁷ = -384
Answer:
The farmer needs 24 crates to hold the carrots.
Step-by-step explanation:
To determine how many crates the farmer needs to hold the carrots, knowing that his farm has 4.8 acres of land, where he can harvest 120 pounds per acre, and that each crates can hold up to 24 pounds of carrots, the following calculation must be performed:
(4.8 x 120) / 24 = X
576/24 = X
24 = X
Thus, the farmer needs 24 crates to hold the carrots.
Answer:
4, 5, 27.
Step-by-step explanation:
Let us find our numbers using given information.
Factors of 20 are: 1,2,4,5,10 and 20.
Let us try by taking number 4 and 5.
We can see that 
Now let us find sum of these numbers.

Therefore, numbers chosen by Boris will be 4, 5 and 27 as these numbers satisfies our all conditions.
0.96 or 19/20
0.96 as fraction = 96/100 = 19.2 / 20 5 into 96 is 19.2 and 5 into 100 is 20
So 0.96 is the same as 19.2/20
Since 19.2 / 20 and 19 / 20 have the same denominator, therefore the 19.2 / 20 is bigger than 19 / 20.
So the 0.96 is bigger than the 19 / 20.
In this question there are several important information's worth noting.Based on these information's the answer can be easily found. It is given that the total capacity of the tank is 24000 gallons. in 24 hours or in 1 day the amount of water used is 650 gallons. The question requires us to find the time it will take to use 2/3 rd of the water in the tank.
then
2/3 rd water in respect to total water in tank = (2/3) * 24000
= 16000
So 2/3 rd water of full tank is equivalent to 16000 gallons.
Now
650 gallons of water is used in = 24 hours
So
16000 gallons of water will be used in = (24/650) * 16000
= 590.77 hours
So it will take 590.77 hours to consume 2/3rd of the total water present in the tank.