Answer:
18.682
Step-by-step explanation:
Given that :
E = (-7, - 2) ; x1 = - 7 ; y1 = - 2
F = (11, 3) ; x2 = 11 ; y2 = 3
EF = √((x2 - x1)² + (y2 - y1)²)
EF = √((11 - -7)² + (3 - -2)²)
EF = √((11 + 7)² + (3 + 2)²)
EF = √(18² + 5²)
EF = √324 + 25
EF = √349
EF = 18.6815
EF = 18.682 units (3 decimal places )
Answer:
The value of the acount after t years is of 
The annual growth rate is of 0.72%.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
$650 is invested in an account earning 8.6% interest (APR), compounded monthly.
This means that 
. So
The value of the acount after t years is of
Annual growth rate
1.0072 - 1 = 0.0072 = 0.72%
The annual growth rate is of 0.72%.
The interval notation to express the set of real numbers <u>x</u> that satisfies the given inequality is -2<x<5. You also can represent it as (-2,5)
<h3>Inequality</h3>
It is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use following symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than).
The solutions for inequalities can be given by: a graph in a number line or numbers.
For solving this exercise, it is necessary to find a number solution for the given inequality.
First, you should find the critical points of the inequality.
x+2=0
x = -2
and
x-5=0
x=5
Write, the intervals in between critical points. Therefore, -2<x<5.
Read more about inequalities here.
brainly.com/question/25275758
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Answer:
Mexico
Step-by-step explanation:
It’s in Spanish
-x^2 + 4 = 2x + 1
-x^2 - 2x + 4 - 1 = 0
-x^2 - 2x + 3 = 0
(x + 3)(-x + 1)= 0
x + 3 = 0 -x + 1 = 0
x = -3 -x = -1
x = 1
so x = -3 and x = 1
