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3 years ago

A certain forest covers an area of

1 answer:

Nookie1986 [14]3 years ago

7 0

Happy to help :)
after 1 yr- 3905.25 km2
2 yrs- approx. 3719.75 km2
3 yrs- approx. 3543.06 km2
4 yrs- approx. 3374.77 km2
5 yrs- approx. 3214.47 km2

The full decimal for the 5 yr mark is 3214.46557 km2 (not sure if you needed it)

To solve you would convert 4.75% into .0475 as a decimal, then subtract that from 1 (which acts as 100%) and you get .9525, then just multiply that by 4100 and each number that results from that ;)

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Find the equilibrium quantity and equilibrium price for the commodity whose supply and demand functions are given.

expeople1 [14]

Rewriting the two equations:

[Supply] $p = q^2+20$
[Demand] $p=-4q^2+10q+18600$

Equilibrium price is when
Supply = Demand
$q^2+20 = -4q^2+10q+18600$
$q^2+4q^2+20-10q-18600 = 0$
$5q^2-10q-18580=0$ ⇒ Simplifying the equation by dividing each term by 5

$q^2-2q-3716=0$

The simplified equation is in quadratic form.
There are three main methods for solving a quadratic equation: factorizing, completing the square, or quadratic formula.

Using the formula, we need the value of a, b, and c which is the constant of the quadratic equation.
$q_1= \frac{-b+ \sqrt{(b)^2-4ac)} }{2a}$ , and $q_2= \frac{-b- \sqrt{(b)^2-4ac)} }{2a}$

We have a = 1, b = -2, and c = -3716
Substituting these values into the formula we have
$q_1= \frac{-(-2)+ \sqrt{(-2)^2-4(1*-3716)} }{2} =61.97$
$q_2= \frac{-(-2)- \sqrt{(-2)^2-4(1*-3716)} }{2} =-59.97$

Since 'q' represents a quantity, we can't have negative values, so we choose the value of 'q' to be 61.97 ≈ 62 (rounded to the nearest whole number)

Answer: Equilibrium quantity = 62

4 0

3 years ago

Charlie has $12 saved already. He earns another $10 for each lawn he mows. How many lawns must he now before he has $100 saved?

sergeinik [125]

Answer. 100= 10x+ 12
Explanation. 100 represents the total money from mowing lawns after (x) jobs. x represents the amount of lawns he mows. Finally, 12 represents the amount of money he has regardless of how many lawns he mows. I hope this helps, let me know if it’s correct so others can use it :)
Good luck.

5 0

3 years ago

Nancy found that x = 1 is one solution to the quadratic equation (x + 2)2 = a. What is the value of a?

Marta_Voda [28]

Given the quadratic equation, (x + 2)^2 = a.
And, x = 1

Solving for the value of a
(x + 2)^2 = a.
a = (x + 2)^2
a = (1 + 2)^2
a = 3^2
a = 9

The value of a is 9

3 0

4 years ago

Read 2 more answers

PLZ HURRY IT'S URGENT!!

yanalaym [24]

Answer:

4x + 3x = 42

Step-by-step explanation:

5 0

4 years ago

Solve quickly for brainliest 4x+y=10 ( ,-6)

AnnyKZ [126]

Answer:

(4, -6)

Step-by-step explanation:

4x + y = 10

4x + (-6) = 10

4x - 6 = 10

4x = 16

x = 4

6 0

3 years ago