Answer:
4.9 years
Step-by-step explanation:
Future value is the sum of amount invested and its compounded interest for a specific period of time and on a specific interest rate.
Investment = Present value = $9,500
Future value = $12,600
To find the numbers of years we will use following formula
Future value = Present value x ( 1 + r )^n
r = interest rate = 5.75%
n = number of periods = ?
Placing values in the formula
$12,600 = $9,500 x ( 1 + 5.75%/4 )^n
$12,600 / $9,500 = 1.014375^n
1.3263 = 1.014375^n
Log 1.3263 = n log 1.014375
n = Log 1.3263 / log 1.014375
n = 19.7856 Quarters
n = 4.9 years
Answer:
C. a 180° rotation about its center
Step-by-step explanation:
The question is on rotation of an object about the origin through 180°
When a point B, (h,k) is rotated about the origin 0 through 180° both clockwise and anticlockwise directions , the new position is B'(-h,-k)
Example, if we have point K (5,8) rotated through 180°, clockwise or anti-clockwise about the origin the new position will be; K'(-5,-8)
Answer:
Based on the converse of the Pythagorean Theorem, the triangle is not a right triangle, because 
Step-by-step explanation:
The complete question in the attached figure
we know that
If the length sides of a triangle, satisfy the Pythagorean Theorem, then is a right triangle
where
c is the hypotenuse (the greater side)
a and b are the legs
In this problem
The length sides squared of the triangle are equal to the areas of the squares
so
substitute
----> is not true
so
The length sides not satisfy the Pythagorean Theorem
therefore
Based on the converse of the Pythagorean Theorem, the triangle is not a right triangle, because
Answer:
A. Because the measure of the angle 
is 
and the angles and 
are Vertical angles. Therefore, they are congruent ( 
)
B. 
Step-by-step explanation:
<h3> <em><u>The missing figure is attached.</u></em></h3><h3 />
You can observe in the figure that the parallel lines 
and 
are intersected by a another line 
(this is a transversal).
Let's begin with PART B:
Observe that the angles 
and are located inside the parallel lines and they alternate sides of the transversal. Therefore, we can determine that these angles are "Alternate Interior Angles".
Since the lines and are parallel, we know that the Alternate Interior Angles are congruent. Then:
Now we can solve the PART A.
Observe the figure.
Since the angle and the angle share the same vertex, they are "Vertical angles" and, therefore, they are congruent:
Answer:
standard deviation of these expected returns = 0.0295 or 2.95%
Step-by-step explanation:
The detailed step is shown in the attachment
