A 4-foot tree was planted in 1984. The tree grows continuously by 22% each year from this point forward. Find the height of the tree after 8 years.

Given:

Initial height of a tree in 1984 = 4 foot

Continuous growth rate =22%

To find:

The height of the tree after 8 years.

Solution:

The general continuous growth model is

Where, is the initial value, r is the growth rate and t is the time in years.

Putting in the above formula, we get

Therefore, the height of the tree after 8 years is 23.25 foot.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

the correct answer would be:

220 centimeters

to get this you can use the pythagorean theorem

hope this

step-by-step explanation: