Answer:
27,400 is the current population
7% is the rate of increase
The new size is:
- 38,430 is the population if t is an exponent
- 146,590 is t is NOT an exponent in the formula you typed
Step-by-step explanation:
To find the population in a future year, use the formula:
Substitute the value t=5 to find the population in 5 years.
Or if the equation is supposed to have t as an exponent then look below:
Substitute the value t=5 to find the population in 5 years.
This formula is based off the standard formula 
so r, the rate is 1.07=1+0.07 so r is 7%.
is the starting population which is 27,400 here.
Answer:
x = 1 or x = ± i
Step-by-step explanation:
Note the sum of the coefficients
1 - 1 + 1 - 1 = 0
This indicates that x = 1 is a root, thus (x - 1) is a factor
Using long division or synthetic division, then
x³ - x² + x - 1 = (x - 1)(x² + 1), thus
(x - 1)(x² + 1) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x² + 1 = 0 ⇒ x² = - 1 ⇒ x = ± 
= ± i
Answer:
(a) Verified
(b) They are simultaneous equations
Step-by-step explanation:
Given
Required
Verify that: 
is a solution
We have:
Substitute:
Evaluate all products
Subtract:
<em>Because both sides of the equation are equal, then the point is a solution</em>
<em></em>
Also:
Substitute:
Evaluate all products
Subtract:
<em>Because both sides of the equation are equal, then the point is a solution</em>
<em></em>
<em></em>
Because the given point is a solution to both equations, then they are simultaneous equation
Answer:
8h=30
Lizbeth can not climb for 4.5 hours.
Step-by-step explanation:
If you plug in 4.5 for h you get
8(4.5)=30
36 does not equal 30
Therefore Lizbeth can't climb for 4.5 hours
Answer:
(x + 1/2)^2 = 289/4
Step-by-step explanation:
x^2+x-72=0
Write like this:
(x + ___)^2 = ___
put 72 on other side
x^2 + x = 72
x^ + x + (1/4) = 72 + (1/4)
(x + 1/2)^2 = 289/4
x + (1/2) = 17/2
