The difference between five times a number and eight more than two times the number.
1 answer:
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The first thing we are going to do is draw a diagram of the situation to help us to solve the situation.
We an draw tow similar triangle between the length of the shadows and the height of the stick and the pole.
Since <span>meter stick has a length of 1 meter, the height of our smaller triangle is 1 meter. Let </span>
be height of of the pole. Since both triangles are similiar we can establish a proportion between their corresponding sides and solve for :
We can conclude that the pole is 4.04 meters tall.
We an draw tow similar triangle between the length of the shadows and the height of the stick and the pole.
Since <span>meter stick has a length of 1 meter, the height of our smaller triangle is 1 meter. Let </span>
We can conclude that the pole is 4.04 meters tall.
Answer:
The exponential Function is .
Farmer will have 200 sheep after <u>15 years</u>.
Step-by-step explanation:
Given:
Number of sheep bought = 20
Annual Rate of increase in sheep = 60%
We need to find that after how many years the farmer will have 200 sheep.
Let the number of years be 'h'
First we will find the Number of sheep increase in 1 year.
Number of sheep increase in 1 year is equal to Annual Rate of increase in sheep multiplied by Number of sheep bought and then divide by 100.
framing in equation form we get;
Number of sheep increase in 1 year =
Now we know that the number of years farmer will have 200 sheep can be calculated by Number of sheep bought plus Number of sheep increase in 1 year multiplied by number of years is equal to 200.
Framing in equation form we get;
The exponential Function is .
Subtracting both side by 20 using subtraction property we get;
Now Dividing both side by 12 using Division property we get;
Hence Farmer will have 200 sheep after <u>15 years</u>.