Answer:
$1500
Step-by-step explanation:
Investment 1 = $3000Interest 1 = 4%Investment 2 = xInterest 2 = 5.5%Total interest = 4.5%Total interest:
3000*0.04 + x*0.055 = (3000+ x)*0.045 ⇒ multiply by 100 both sides3000*4 + 5.5x = 3000*4.5 + 4.5x ⇒ parenthesis5.5x - 4.5x = 3000(4.5-4) ⇒ collect like termsx = 3000*0.5 ⇒ simplifyx = 1500 ⇒ answerAdditional money is $1500
Which one is from greatest to least?
A : -15, -8, 10, 12
B : 12, 10, -15, -8
C : 12, 10, -8, -15
D : -15, -8, 12, 10
HELPPP!! ASAP!!
Answer:
C is correct!
12,10,-8,-15
Which statements are true regarding f(x)=10/x+5
? Check all that apply.
The domain of f(x) is (–∞, –5) U (–5, ∞).
The range of f(x) is (–∞, 2) U (2, ∞).
The x-intercept is at (–5, 0).
The y-intercept is (0, 2).
There is a vertical asymptote at x = –5.
The end behavior is x → –∞, f(x) → 0 and x → ∞, f(x) → 0.
For the function [tex]\frac{10}{x + 5}[/tex] , we can say
The domain of f(x) is (–∞, –5) U (–5, ∞).
The y-intercept is (0, 2).
There is a vertical asymptote at x = –5.
The end behavior is x → –∞, f(x) → 0 and x → ∞, f(x) → 0.
What is a function?A mathematical relationship from a set of inputs to a set of outputs is called a function.
What is domain of a function?The domain of a function is the set of all possible inputs for the function.
What is range of a function?The range of a function is the set of outputs the function achieves when it is applied to its whole set of outputs
What is asymptote?An asymptote is a straight line that can be horizontal, vertical or oblique that goes closer and closer to a curve which is the graphic of a given function.
What is intercept?An intercept of any function is a point where the graph of the function crosses, or intercepts, the x-axis or y-axis.To find the x-intercept we need to do y = 0To find the y-intercept, we need to do x = 0How to know the domain of function?The given function is [tex]\frac{10}{x + 5}[/tex]
Now, if x = -5 then the function becomes undefined.
∴ The domain of the function is all real numbers except -5
So, The domain of f(x) is (–∞, –5) U (–5, ∞).
So, option a is correct.
How to know the range of the function?Clearly, the range of the function includes all real numbers
So, option B is wrong
How to find the x-intercept?To find the x-intercept , we will have to solve f(x) = 0, which is not at all possible for this function.
So, option C is wrong
How to find the y-intercept?To find the y-intercept, we need to do x = 0So, putting x = 0 in the function we get f(x) = 2
So, the y- intercept is (0, 2).
So, option D is correct.
How to find vertical asymptote ?To find the vertical asymptote, we need to make the denominator = 0∴ x+ 5 = 0
∴ x = -5
So, there is a vertical asymptote at x = –5.
Hence option E is correct.
How to find the end behavior?We can see,
As x tends to -∞, x + 5 will also tend to -∞We know that a number divided by ∞ or -∞ becomes 0So, as x tends to -∞, f(x) will tend to 0
So, Option F is correct.
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Answer:
ADEF
Step-by-step explanation:
ADEF
Find the equation of the line with the following properties slope does not exist and the
line passes through (-5,-2).
Answer:
y = -2
Step-by-step explanation:
Slope does not exist, meaning that the line is horizontal. Therefore, the equation is just y = -2.
The area of a square garden is A= 121ft2 how long is each side of the garden?
Answer:
11ft.
Step-by-step explanation:
121 is the square root of 11, but that's not important. basically, you just find out what multiplies to be 121, since it's just side * side. long division can help if you're not allowed to use a calculator. I hope I was at least somewhat helpful. I feel like this wasn't the best explanation out there.
-1+2z-z^2 Terms: ? Coefficients: ? the constant term is: ?
Answer:
Terms: -1, 2z, -z²
Coefficients: 2, -1
Constant Term: -1
Step-by-step explanation:
Terms are a set of numbers. It can be accompanied by a variable or not.
Terms: -1, 2z, -z²
Coefficients are the numbers that are in front of a variable.
Coefficients: 2, -1
Constant term is just a number, with no variable attached to it.
Constant Term: -1
SOMEONE ANSWER ASAP PLEASE ! M is the midpoint ofJK. The coordinates of J are (6, 3) and the coordinates of Mare (-3, 4), find the
coordinates of K.
Answer:
Step-by-step explanation:
Coordinate geometry is always used in a certain cartesian system such as the X-Y cartesian system to represents the location of a point.
For example a point
P ( x , y ) , occupies an identical position in the cartesian system and the coordinate 'x' and 'y' represents the distances of the point from the X and Y-axis respectively with respect to the origin. If a point
P ( x , y ) between two other points
A ( x 1 , y 1 )
and
B ( x 2 , y 2 ) , divides in just two halfs then point P is known as the Midpoint of the points A and B.
And
P ( x = x 1 + x 2 2 , y = y 1 + y 2 2 )
A grid that represents 1 whole , what would you shade for 0.4 and 0.04? 100 squares in rows of 10.
Find the complement of the set given that U = {3, 4, 5, 6, 7, 8, 9, 10, 11). (Use the roster method to write the set. Enter EMPTY or for the empty set.)
{5, 7, 9, 10)
Answer:
(3, 4, 6, 8, 11)
Step-by-step explanation:
The complement of a set are elements of a universal set that isn't present in the given set.
The universal set is U = {3, 4, 5, 6, 7, 8, 9, 10, 11)
[tex]\left \{ 3,4,6,8,11 \right \}[/tex]
A set is a well-defined collection of objects.
The collection of all items in a certain context or theory is known as a universal set.
The complement of a set is the set that contains all of the universal set's elements that aren't found in the provided set.
[tex]U=\left \{ 3,4,5,6,7,8,9,10,11 \right \}[/tex]
Let [tex]A=\left \{ 5,7,9,10 \right \}[/tex]
Complement of set is [tex]\left \{ 3,4,6,8,11 \right \}[/tex]
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6.1+
4.55+
1.09 +
15.9+
3.771
Answer:
31.411
Step-by-step explanation:
6.1+4.55+1.09+15.9+3.771= 31.411
A garden table and
bench cost $897 combined. The garden table costs $47 more than the bench. What is the cost of the bench?
Answer:
472
Step-by-step explanation: First subtract the additional cost from the overall cost, than you find the value of the bench by dividing by 2, than add the additional cost to the price of the bench to find the total cost of the Garden Table.
897-47=850
850 divided by 2 = 425
425 + 47 = 472
vertices of parallelogram ABCD are A(2, 0), B(4, 3), C(3, 1). How many possibilities are there for the position of the fourth vertex?
Answer:
1 possibility is there for the the position of the fourth vertex.
what is one and three hundred twenty-four thousand in decimal
Answer:
1.324
Step-by-step explanation:
"and" is basically the decimal
Answer:
.32400
Step-by-step explanation: just cs
Venus is an average distance of 108.2 million kilometers from the sun. Use the conversion factor
0.72 AU is the answer
Find the midpoint of the line segment with the given endpoints (-3,1 -2,8) (-4.92,-3.3)
Answer: (4.01, -3.05)
Step-by-step explanation:
Use the midpoint formula (x1+x2/2,y1+y2/2)
-3.1 + -4.92 /2 =4.01
-2.8 + -3.3 /2 = -3.05
(4.01, -3.05)
Round 7696.41481885 to the nearest thousand
Round the number 7696.41481885 to the nearest thousandth will be 7696.415.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.
The decimal number is given below.
7696.41481885
Round the number 7696.41481885 to the nearest thousandth term, which will be done if the number is greater than 5 then the previous of that number is increased by 1. Then the number will be
7696.415
Round the number 7696.41481885 to the nearest thousandth will be 7696.415.
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if x - 2y = 1 and 2x - y = -4, then x + y = ?
Answer:
x + y = -5
Step-by-step explanation:
x - 2y = 1
2x - y = - 4
then:
x = 1 + 2y
then:
2(1+2y) - y = -4
(2*1 + 2*2y) - y = -4
2 + 4y - y = -4
3y = -4 -2
3y = -6
y = -6/3
y = -2
x = 1 + 2y
x = 1 + 2*-2
x = 1 - 4
x = -3
Check:
x - 2y = 1
-3 -2*-2 = 1
-3 + 4 = 1
Answer:
x + y = -3 -2= -5
Which type of transformation preserves the symmetry of an even function f(x) but does not preserve the symmetry of an odd function g(x)? vertical translation horizontal translation reflection over the x-axis reflection over the y-axis
Answer:
Vertical Translation.
Step-by-step explanation:
If you shift a parabole up, for example, it is still symmetric about the y-axis. If you shift it left or right, it loses its symmetry. Reflection maintains symmetry for both even and odd functions.
Answer:
vertical translation
Step-by-step explanation:
Austin removed 16 fish from his pond over a period of 2 days. He removed the same number of fish each day. What was the change in the number of fish in the pond each day?
Answer:
-8
Step-by-step explanation:
if he took out the same number of fish each day then it would be 8 a day resulting in a decrese of 8 fish a day.
10. Four employees are paid a monthly salary as follows: Wilma. $1.820: Mavis,
$1,615; Martha, $1.977: Tom. $1.560. Whöt average salary per month are these
employees paid?
Answer: Average salary per month=$1,743
(NB--- I am thinking you meant $1,977, $1,560, $1,820 instead of $1.977 $1.560. $1.820 ie a comma instead of decimal point, so i corrected and solved )
Step-by-step explanation:
Step 1
Average salary =Total amount of employees salaries/ Number of employees
Step 2
Employee Amount of salary per month
Wilma $1,820
Mavis, $1,615
Martha, $1,977
Tom $1,560.
Total = $ $6,972
Average salary per month = $1,820 + $1,615+$1.977+$1.560/4 =$6,972/4= $1,743
what is -9/12 + 4/12=
Answer:
I think it would be -0.416 but I'm not real sure so make sure before using my answer! :3 Have a great day!
I need this right now please
PLEASE HELP !! Which is the equation of a line that has a slope of 1/2 and passes through point (2,-3)
Answer:
y = 1/2x - 4
Step-by-step explanation:
You would use point slope to solve this. y-y = m(x-x) with your numbers it would look like this ---> y+3 = 1/2(x-2). (I changed it to +3 because y- -3 = y+3. Two negatives make a positive.) Next you would use the distributive property and it would look like this ---> y+3 = 1/2x - 1 -----> -3 on both sides ------->
y = 1/2x - 4. Hope this helped!!!!
-(7-2x)+7=-7 help please
Answer:
X = -7/2
Step-by-step explanation:
Answer:
x = -7/2
Step-by-step explanation:
-(7-2x)+7=-7
-7 -7
Start by subtracting -7 from both sides.
-(7-2x) = -14
Divide both sides by -1 to eliminate the negatives.
-(7-2x) = -14
--------- -------
-1 -1
Simplify.
7-2x = 14
Subtract -7 from both sides.
-2x = -7
Divide both sides by -2
-2x = -7
----- ----
-2 -2
x= -7/2
Check if -7/2 by plugging it back into the equation: (-7/2 = -3.5)
-(7-2(-3.5))+7 = -7
Which statement about the arrow is true?
A)The arrow does not have rotational symmetry.
B)The arrow has rotational symmetry after a 90° rotation.
C)The arrow has rotational symmetry after a 180° rotation.
D)The arrow has rotational symmetry after a 270° rotation.
Answer:
The arrow has the rotational symmetry after a 180 degree rotation
Step-by-step explanation:
It looks the same after tuning it by that degree, also i took the test :)
which is right??????
Answer:
the distance from a to c is 10
Step-by-step explanation:
this is because the line in the middle divides the angle into equal sizes what the marks mean on it
Answer:
the distance from A to C is 10units
Step-by-step explanation:
A to B and A to C share the same distance
(6 + √27) / 3 Sorry i wrote it wrong the first time.
Answer: [tex]2 + \sqrt{3}[/tex]
==============================================
Work Shown:
[tex]\frac{6 + \sqrt{27}}{3}\\\\\frac{6 + \sqrt{9*3}}{3}\\\\\frac{6 + \sqrt{9}*\sqrt{3}}{3}\\\\\frac{6 + 3\sqrt{3}}{3}\\\\\frac{3(2 + \sqrt{3})}{3}\\\\2 + \sqrt{3}\\\\[/tex]
The idea with simplifying the square root (steps 2 through 4) has us factoring 27 so that one factor is a perfect square. We want the largest perfect square factor possible.
That way when we use the rule sqrt(x*y) = sqrt(x)*sqrt(y), we pull out that perfect square to then use the rule sqrt(x^2) = x where x is nonnegative.
After simplifying the square root, we factor out the GCF and then cancel out the 3's.
The sum of prime number
less than x is 58
find an integer value for x
Answer:
58
Step-by-step explanation:
Prime Numbers = 2+3+5+7+11+13+17
= 58
4x +14+ 4x=38 solve equation
Answer:
3
Step-by-step explanation:
4x +14 +4x =38
8x =38 - 14
8x=24
x=24 :8
x=3
PLEASE HELP!
What percent of the circle is shaded?
Can you also explain how to get the answer?
Answer:
40%
Step-by-step explanation:
1/5 = 20%
then 2/5 would equal 40%
Answer:
40%
Step-by-step explanation:
It is 40 because if you move the two shaded then its two and if you fill in the rest you will need three more.
Multiply (6x^3+8)(7x^2+8x+7)