9514 1404 393
Answer:
- 2% growth per year
- 25,000 to start
- 12 years
- 31,706 currently
Step-by-step explanation:
The base of the exponent is (1 +0.02). The value 0.02 = 2% is the growth rate. It is positive, signifying a 2% rate of growth per year. (Negative values would mean decay.)
The number 25000 that multiplies the exponential term is the value of the expression when the exponent is zero. It represents the starting population.
The exponent is said to be in years, so the time is 12 years.
The current population is the value of the expression:
25,000(1.02^12) ≈ 31,706 . . . . current population
Answer:
the scale is 630:1 = 0.16%
80inch^2 of 50400inch^2 however = 0.16%
Step-by-step explanation:
350ft^2 = 50400inches 8 x 10 = 80inches = 50400/80 = 630
50400/9 =5600 we distribute
5600/80 = 7
showing us that 7 x 9 = 63 where 63 x 80 = 5040 1/100th
1 = 630
7x9x 80 = 1/100 of 50400
0.01589 x 7x9x80x 7x9x80 = 80
Proves that every every 10000 the percentage goes down 0.00011%
the K is next to the find like
If you know that -2 is a zero of f(x) = x^3 + 7x^2 + 4x - 12, explain how to solve the equation.
First you have to figure out what could make f(x) = 0 to get rid of the cube. I'm going to test the array of data, x = -2, x = -3, and x = -4 because this type of equation probably has more negative values given that if you plug in some values the cubed-values and squared-values will surpass the "-12". Plug this into a calculator.
x^3 + 7x^2 + 4x - 12
f(-2) = -8 + 28 - 8 - 12 = 0
So you know that when x = -2, f(x) = 0. Divide "(x + 2)" from the equation and you will get... x^2 + 5x - 6. Now this is a simple polynomial one that you can figure to be (x + 6) (x - 1) just by looking at it because -6 multiplied by 1 is negative 6 and you see 5 and know that 6 - 1 = 5.
The solution is (x + 6) (x - 1) (x + 2) meaning that when x = -6, 1, or -2, f(x) is 0.
Option C:
The value of x is 27.
Solution:
Given exterior angles are 56°, 2x°, 85°, 57° and 4x°.
<em>Sum of exterior angles of a polygon = 360°</em>
⇒ 56° + 2x° + 85° + 57° + 4x° = 360°
⇒ 198° + 6x° = 360°
Subtract 198° from both sides of the equation.
⇒ 6x° = 162°
Divide by 6 on both sides, we get
⇒ x° = 27°
⇒ x = 27
The value of x is 27.
Option C is the correct answer.