Answer:
The equivalent expression would be;
S(t) = 86,400•3^t
Step-by-step explanation:
Here, we want to make a transformation
From what we have;
S(t) = 9,600(3)^(t + 2)
From indices, we know that;
x^(a + b) = x^a•x^b
Thus, we have it that;
S(t) = 9600•3^t•3^2
S(t) = (9 * 9600) * 3^t
S(t) = 86,400•3^t
This is solved by setting up two equations and then using one to answer the other.
The first step (use what is given to set up the two separate equations)
We are looking for two numbers, let us call them X and Y.
We are told that X + Y = 59
We are also told that (9 more than) 9+ (4times the smaller number) 4Y is the bigger number X
Then we combine that into 9+4Y=X
so we now have two separate equations and we can use one to solve the other. Everywhere we have X in the first equation, we will fill in with the second equation
(9+4Y) +Y = 59 [then combine like terms]
9+5Y=59 [subtract 9 from both sides]
5Y=50 [divide both sides by 5 to isolate the Y]
Y=10 [now plug this into either equation to solve for X]
9+4(10)=X
9+40=X
<u><em>49=X and 10=Y</em></u>
2x=16-2y
x=8-y
6(8-y)+4y=38
48-6y+4y=38
48-2y=38
-2y=-10
y=5
8-5=x
x=3 <-Answer
The area<span> and the </span>circumference<span> of a circle. Make sure that you remember that a</span>circumference<span> is a length and so is measured , , etc. Remember as well that </span>area<span> is measured in square units, , etc. All of these calculations will involve the use of Pi ( ) which you can take as being equal to .</span>
Answer:
Weight of wastage=179.775kg
weight of rice cultivated= 585.225 kg
percentage of rice cultivated=76.5%
Step-by-step explanation:
Area of land=100 square meters
Cultivated rice=765kg
Wastage=23.5%
1) Weight of the wastage=23.5% of 765kg
=23.5/100 × 765
=17977.5 / 100
=179.775 kg
2) Weight and percentage of rice cultivated.
weight of rice cultivated = 765 kg - 179. 775 kg
= 585.225 kg
percentage of rice cultivated = 100 - 23.5
= 76.5%
3) if area is increased 40 times in size
New area=1000 square meters × 40
=40,000 square meters
Cultivated rice= 765kg × 40
=30,600 kg
Cultivated rice excluding wastage=585.225 kg × 40
=23,409 kg