In 2018, Gretal earned $32 000.
(i) She paid tax of 24% on these earnings.
Work out the amount she paid in tax in 2018
Gretal paid $7680 on tax in 2018.
What is a percentage?"A percentage is a ratio of a number to 100. The symbol % is used to indicate a percentage."
Given
Earning = 32000
Tax paid = 24%
Amount paid on tax = [tex]32000[/tex] × [tex]\frac{24}{100}[/tex]
= $7680
Hence, she paid $7680 on tax.
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Mario deposited $6,500 in a simple interest account that pays 2.8% interest annually. If Mario leaves the money in the account for 12 years, how much interest will he earn?
Answer:
$2,184
Step-by-step explanation:
Simple interest = (Principal × Rate × Time) / 100
Principal = $6,500
Rate = 2.8%
Time = 12 years
Simple interest = (Principal × Rate × Time) / 100
= (6,500 × 2.8 × 12) / 100
= 218,400 / 100
= 2,184
Simple interest = $2,184
The simple interest on $6,500 at 2.8% for 12 years is $2,184
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Write an expression for the perimeter of the triangle shown below:
A triangle is shown with side lengths labeled 2.3x plus 14, 2x, and negative 0.2x plus 15.
4.1x + 29
4.1x − 29
4.5x + 29
4.5x − 29
True or False: X=3 is the solution to 2x+10/5=4.
1. True
2. False
Answer:
Step-by-step explanation:
False
what is the measure of the line segment AB if D is between A and B, AD = 7, and DB = 12?
Answer:
Given AD = 7 and DB = 12, to find AB you need to add them
AB = 12+7
AB = 19
The measure of the line segment AB is 19 units.
What are the coordinates of midpoint of the line segment AB?Suppose we've two endpoints of a line segment as:
A(p,q), and B(m,n)
Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:
[tex]x = \dfrac{p+m}{2}andy = \dfrac{q+n}{2}[/tex]
We are given that;
AD = 7, and DB = 12
Now,
To find the measure of the line segment AB, we need to use the segment addition postulate. The segment addition postulate states that if a point is between two other points on a line segment, then the sum of the lengths of the two smaller segments is equal to the length of the larger segment.
In this problem, D is between A and B, so we can apply the segment addition postulate and write:
AD + DB = AB
Substituting the given values of AD and DB, we get:
7 + 12 = AB
Simplifying, we get:
19 = AB
Therefore, by the given point the answer will be 19 units.
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Determine the intercepts of the line.
x-intercept(_,_)
y-intercept(_,_)
Answer:
the x-intercept is (-10, 0) the y-intercept is (-45, 0)
Answer:
X intercept is (-10,0)
Y intercept is (0,-40.5)
Step-by-step explanation:
Hope this helps.
For questions 1-8, read and solve each problem; choose the best answer from the choices provided
for each item.
1. (MGSE9-12.F.BF.1) This table shows the number of people at a festival at certain times during
the day. Which function best represents the table below?
Hour (PM) 1 2 4 7 8
Number of People 12 19 33 54 61
A. f(x) = 7x + 12
B. f(x) = 7x + 5
C. f(x) = 5x + 7
D. f(x) = 5x + 12
Answer:
[tex] f(x) = 7x + 5 [/tex].
Step-by-step explanation:
The equation that represents the function can be written in the slope-intercept form, [tex] f(x) = mx + b [/tex].
To create an equation, we need to find the slope (m) and the y-intercept (b) of the function.
First, calculate the slope of the function using two points, (1, 12) and (2, 19).
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{19 - 12}{2 - 1} = \frac{7}{1} = 7 [/tex]
Next, find b by substituting x = 1, f(x) = 12, and m = 7 into [tex] f(x) = mx + b [/tex].
[tex] 12 = (7)(1) + b [/tex]
[tex] 12 = 7 + b [/tex]
Subtract 7 from each side
[tex] 12 - 7 = b [/tex]
[tex] 5 = b [/tex]
[tex] b = 5 [/tex]
Substitute m = 7 and b = 5 into [tex] f(x) = mx + b [/tex].
✅Thus, the equation that represents the function would be:
[tex] f(x) = 7x + 5 [/tex].
Can someone please help me with this one please
Answer:
Step-by-step explanation:
the answer is 3
Fill in the blank to complete the equation below. 99 + 33 = 11(?+3)
Answer:
? = 9
Step-by-step explanation:
you know 99 + 33 = 132 so you can substitute that: 132 = 11 (? + 3). im going to change ? into x for now: 132 = 11 (x + 3). then distribute the 11 so 132 = 11x + 33. then subtract 33 from both sides (99 = 11x) and divide both side by 11 (x = 9) and you get 9!
hope this helps!
scientific notation the question is 4x10 to the power of negative 9
Answer: -15
Step-by-step explanation:
I think that's right
what is the slope of y = -x + 7
Answer:
slope m = - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x + 7 ← is in slope- intercept form
with slope m = - 1
hep please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Hm, D would equal either 5 or 6.
Answer: d=3
Step-by-step explanation:because if u plug it in that will be grater
help ASAP!
thank you so much
is y=x/4 proportional or non proportional?
Answer:
i may be wrong but i thinks its proportional
Step-by-step explanation:
PLEASE HELP ILL GIVE BRAINLIEST. Which graph displays a rate of change of 2.5?
fy
Ay
4
2
2
x
X
2
4
2
-2
4
2.
-4
-4
4
-2.
2
2
2
-4
Step-by-step explanation:
i can't see the graph but I have done it before it is middle one
ASAP
Can someone help me with this pleaseeee
Match the following equations to their solutions. (Answers should be ordered pairs like this (x,y)
2x - y = 14
y = -2x - 1/2
7 + 5x = y + 7
3x + 2y = 36
6 - x = 4y
9x = 2y
Answer:
1. (8,2)
2. (-0.25,0)
3. (1,5)
4. (10,3)
5. (6,0)
6. (2,9)
Evaluate the following expression: (show work)
3x^2 – 4^3 – 4^3 – z
If x =3, y =–2 and z=-5
simplify x X x^5 divided by x^2 X x
Answer:
[tex]\huge\boxed{(x\cdot x^5):(x^2\cdot x)=x^3}[/tex]
Step-by-step explanation:
[tex](x\cdot x^5):(x^2\cdot x)\qquad|\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=x^{1+5}:x^{2+1}=x^6:x^3\qquad|\text{use}\ a^n:a^m=a^{n-m}\\\\=x^{6-3}=x^3[/tex]
Answer:
X × X^5 ÷ X^2 ×X
X^3
because the same variable can be cancelled.
what is the y - intercept
Answer:
The y- intercept is 1
Step-by-step explanation:
Since the line crosses the y-axis at 1, the y-intercept is 1. Like the x-intercept. The line crosses the x-axis at um.. I would say about -1.5, so the x-intercept is -1.5.
Hope this helps you!!!
What is the 19th term of the sequence below?
-10, 0, 10, 20
Answer:
180
Step-by-step explanation:
she remaining amount Lily has yet to pay Megan is $. Lily owed Megan $129.42. So far, she has paid Megan $32.56.?????
Answer:
129.42 - 32.56 = 96.86$
For khan academy. Need answer immediately. Explain if you can
Answer:
The answer is B
What is the slope of the line parallel to 7x + 4y = -16?
Answer:
The slope of the line that is parallel to the given line is [tex]\frac{-7}{4}[/tex]
Step-by-step explanation:
Parallel lines have the same slopes and different y-intercepts
The slope of the line who has an equation ax + by = c is m = [tex]\frac{-a}{b}[/tex]
Let us use these rules to solve the question
∵ The equation of a given line is 7x + 4y = -16
→ Compare it with the form of the equation above
∴ a = 7 and b = 4
∵ The slope of the line = [tex]\frac{-a}{b}[/tex]
∴ The slope of the line = [tex]\frac{-7}{4}[/tex]
∵ Parallel lines have the same slope
∴ The slope of the line that is parallel to the given line is [tex]\frac{-7}{4}[/tex]
Brianna jogs 15 minutes more on Sunday than Saturday. She jogged 26 minutes on Saturday.
a.
How many minutes does she jog on Sunday?
Answer:
41
Step-by-step explanation:
15+26=41
Answer:
41 minutes
Step-by-step explanation:
If she jogged 15 minutes more on Sunday than Saturday, we can find how many minutes she jogged on Sunday by adding 15 to Saturday's amount:
So, add 15 to 26:
15 + 26
= 41
So, she jogged 41 minutes on Sunday.
PLEASE HELP!!!! GIVING BRAINLIEST!!!
Identify the missing input value.
Answer:
The answers are 34 on the in side and 57 on the out side
Step-by-step explanation:
This is because if you subtract 4 from 9, you will get 5. when you subtract 4 from 19, you will get 15.
I hope this helps
Answer:
In: 33 Out: 29
In: 62 Out: 58
Step-by-step explanation:
Lets find the rate of change first;
[tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }=\frac{15-5}{19-9}=\frac{10}{10}=1[/tex]
What is the equation in slope-intercept form of the line that passes through the points (−4, 2) and (12, 6)?
Answer:
y = 1x/4 +3
Step-by-step explanation:
Someone please answer the questions and help me:(
Answer:
-3,-5,-4,-1,1-1,1-1,,3,3-,-3,-4,5-,-8,9--,5,3
Step-by-step explanation:
Which pair of triangles can be proven congruent by SAS?
What is the answer to this question?
Answer:
≈ 3.9 miles
Step-by-step explanation:
The third angle in the triangle is
180° - (53 + 78)° = 180° - 131° = 49°
Using the Sine rule in the triangle with distance from 2 being x, then
[tex]\frac{3}{sin49}[/tex] = [tex]\frac{x}{sin78}[/tex] ( cross- multiply )
x × sin49° = 3 × sin78° ( divide both sides by sin49° )
x = [tex]\frac{3sin78}{sin49}[/tex] ≈ 3.9 ( to the nearest tenth )