An income is taxable is such income falls into a category where a proportion of the income is removed, as tax. To have an extra $5000 after tax, Tara must save $6173.
Given that:
[tex]Earnings = \$20000[/tex] --- normal earnings
[tex]Amount = \$5000[/tex] ---- the amount needed
From the complete question, the tax rate for earnings between $18201 and $37000 is 19%.
Let the additional amount be x.
So, the equation that calculates the amount needed (after tax) is:
[tex]x(1 - 19\%) = 5000[/tex]
Express as decimal
[tex]x(1 - 0.19) = 5000[/tex]
[tex]x(0.81) = 5000[/tex]
Make x the subject
[tex]x = \frac{5000}{0.81}[/tex]
[tex]x = \$6173[/tex]
Hence, she needs to make an extra of $6173 to save $5000
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Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at a rate of 45 miles per hour. The westbound train travels at a rate of 55 miles per hour. How long will it take for the two trains to be 280 miles apart
Answer: 2.8 hours
Step-by-step explanation:
Train A: time= t, v=45mi/hr, d= d
Train B: time t, v= 55mi/hr, d=280-d
Distance = v times t (d=vt)
t = d/v (time for both trains is the same, so t=t)
Train A: t=d/45
Train B: t=(280-d)/55
d/45 = (280-d)/55 (cross multiplication)
55d = 15400-45d
55d+45d = 15400
100d = 15400
d = 154 miles (280miles - 154miles = 126 miles)
Train A travel 154 mi and train B travel 126 mi
Train A travel 154 miles in 2.8 hrs.
Train B travel 126 miles in 2.8 hrs.
154 miles at a rate of 55mi/h = 2.8 hours and
126 miles at a rate of 45mi/h = 2.8 hr.
pls answer this!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! asap
Refer to the attached diagram for further a visual explanation. As per the given information, segments (AB) and (AD) are congruent. Moreover, segments (AC) and (AE) are also congreunt. One is also given that angles (<BAD) and (<EAC) are congruent. However, in order to prove the triangles (ABC) and (ADE) are congruent (using side-angle-side) congruence theorem, one needs to show that angles (<BAC) and (<DAE) are congruent. An easy way to do so is to write out angles (<BAC) and (<DAE) as the sum of two smaller angles:
<BAC = <BAD + <DAC
<DAE = <DAC + <EAC
Both angles share angle (DAC) in common, since angles (<EAC) and (BAD) are congruent, angles (<BAC) and (<DAE) must also be congruent.
Therefore triangles (ABC) and (ADE) are congruent by side-angle-side, thus sides (BC) and (DE) must also be congruent.
In summary:
AB = AD Given
AC = AE Given
<BAD = <EAC Given
<DAC = <DAC Reflexive
<BAC = <BAD + <DAC Parts-Whole Postulate
<DAE = <EAC + < DAC Parts-Whole Postulate
<BAC = <DAE Transitivity
ABC = ADE Side-Angle-Side
BC = DE Corresponding parts of congruent triangles are congruent
please help meh its midpoint
Step-by-step explanation:
[tex]mid \: point \: of \: x = \frac{x1 + x2}{2} \\ x = \frac{8 + - 12}{2} \\ = \frac{ - 4}{2} = - 2 \\ mid \: pont \: of \: y = \frac{y1 + y2}{2} \\ y = \frac{ - 5 + - 1}{2} \\ = \frac{ - 6}{2} \\ = - 3 \\ the \: coordinates =( xy) = ( - 2 \: - 3) \\ thank \: you[/tex]
The sum of 1/4 and 1/8 times the difference between 2/3 and 5/6.
What is the numerical expression for the phrase?
Answer: (1/4 + 1/8) x (2/3-5/6)
Step-by-step explanation:
The sum of 1/4 and 1/8 times the difference between 2/3 and 5/6
8. If angle CBD = angle DBE find m angle A
Answer:
m∠A = 65°
Step-by-step explanation:
Because ∠CBD is congruent to ∠DBE, we can set the degree values equal to each other.
So
CBD has x + 10, DBE has 60. So:
x + 10 = 60
Subtract 10 from both sides.
x = 50
Check:
50 + 10 = 60
60 = 60
m∠A = (x + 5)° = (60 + 5)° = 65°
The measure of m<A if angle CBD = angle DBE is 55°
The point where two lines meet is known as an angle.
We are given the following from the diagram:
m<CBD = x +10
m<DBE = 60degrees
Since angle CBD = angle DBE, then:
x + 10 = 60
x = 60 - 10
x = 50degrees
Get the angle A.
From the diagram, angle A = (x+5)°
m<A = 50 + 5
m<A = 55°
Hence the measure of m<A is 55°
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Hi, please help me with this question.
what is 45+46+47+ ... +53+54?
Please don't just take points (this is a repost since someone did that)
Answer:
52 i think
Step-by-step explanation:
The question doesn't really say what to do, i say 52 because of the pattern
The required sum of the arithmetic progression is 441.
Arithmetic progression is the series of numbers that have common differences between adjacent values
What is geometric progression?Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
Here,
45 + 46 + 47 . . . . . . 54
About sequence is an arithmetic sequence with,
First term a = 45
common difference d = 1
last term l = 54
Number of terms = 45 - 54 = 9
The required sum of the arithmetic progression can be given as,
s = n / 2 * ( 2a + (n - 1) d )
s = 9 / 2 * (2 * 45 + 8 * 1)
s = 9 / 2 * (98)
s = 9 *49
s = 441
Thus, the required sum of the arithmetic progression is 441.
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ATTENDING TO PRECISION The diagram shows an insect called a walking stick Use the ruler to estimate the length of the abdomen and the length of the thorax to the nearest inch. How much longer is the walking stick's abdomen than its thorax? How many times longer is its abdomen than its thorax?
Estimation and precision are used when the actual value cannot be easily determined or calculated.
The length of the abdomen is [tex]2\frac 14[/tex] inchesThe length of the thorax is [tex]1\frac 34[/tex] inchesThe abdomen is longer than the thorax [tex]1\frac 27[/tex] timesGiven that, the length is to be measured to the nearest [tex]\frac 14\ inch[/tex], we have the following observations
The length of the abdomen starts at the 0 mark and ends after the 2-mark. The length ends before [tex]2\frac{1}{2}[/tex]. So, the length of the abdomen can be estimated to [tex]2\frac{1}{4}[/tex] --- to the nearest [tex]\frac{1}{4}[/tex].Similarly, the length of the thorax starts at the [tex]2\frac{1}{4}[/tex] mark and ends before [tex]4\frac{1}{4}[/tex]. The end of the thorax length can be estimated to: [tex]4[/tex] --- to the nearest [tex]\frac{1}{4}[/tex].So, we have:
[tex]L_1 = 2\frac 14[/tex] --- the length of the abdomen
[tex]L_2 = 4 - 2\frac 14[/tex]
Express as improper fraction
[tex]L_2 = 4 - \frac{9}{4}[/tex]
Take LCM
[tex]L_2 = \frac{16 - 9}{4}[/tex]
[tex]L_2 = \frac{7}{4}[/tex]
Express as proper fraction
[tex]L_2 = 1\frac{3}{4}[/tex] --- the length of the thorax
The number of times (n) the abdomen is longer than the thorax is calculated as follows:
[tex]n = L_1 \div L_2[/tex]
So, we have:
[tex]n = 2\frac 14 \div 1\frac 34[/tex]
Express as improper fractions
[tex]n = \frac 94 \div \frac 74[/tex]
Rewrite as:
[tex]n = \frac 94 \times \frac 47[/tex]
[tex]n = \frac 97[/tex]
Express as proper fractions
[tex]n = 1\frac 27[/tex]
Hence, the abdomen is [tex]1\frac 27[/tex] times longer than the thorax
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pls ans this q/a pls fast...
no spamming step by step ans
pls dont ans who answer already
Answer:
figure 1, 2 respectively
62.5 Answer
This is midpoint please help.
Step-by-step explanation:
[tex]thank \: you[/tex]
Answer:
(1, 13)
Step-by-step explanation:
it is above in the photo.
liza deposits money at 4.5% intrest with twice as much deposited at 5%. find the amount deposited at each rate if total annual interest is 2320
Answer:
57
Step-by-step explanation:
4.5 × 2 = 8.10
8.10 x 5 = 40.50
2320 ÷ 40.50
Elsa needs to drive a total of 205.6 miles. So far she has driven 67 miles. How many miles muse she drive?
Answer:
138.6 miles
Step-by-step explanation:
205.6 - 67 = 138.6
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
If Gabby wants to buy a t-shirt for $35.99 but she has a discount for 10% off, how much is her final cost?
Answer:
It's $32.39.
Step-by-step explanation:
35.99 - 35.99*10% =
=35.99 - 35.99*0.1
=35.99 - 3.599
=32.391
32.391 is close to 32.39 so we will round it to that number.
The answer is $32.39.
A teacher asked his students to vote for an animal to be their class pet. Five-eighteenths of the students voted for a rabbit, One-sixth voted for a snake, and Five-ninths voted for a hamster. Which statement is true?
Answer:
Since you didn't list the statements, I'll just list some true statements.
-------------------------------------
There are 17 students in this class.
Majority of students voted for a hamster.
Snake was the least voted for.
Solve for x: two thirds(x − 2) = 4x
Answer:
-2/5 =x
Step-by-step explanation:
2/3 ( x-2) = 4x
Multiply each side by 3/2
3/2 * 2/3 (x-2) = 3/2 *4x
x-2 = 6x
Subtract x from each side
x-2-x = 6x-x
-2 = 5x
Divide each side by 5
-2/5 = 5x/5
-2/5 =x
x=− 2/5=−0.4 is the answer please mark brainliest
Send help, soy muy muy mala con fracciones mixtas
Answer:
pleas mark me has branlist
please help
also dont pay attention to the one I have marked I clicked it by accident
Answer:
the answer is c because if you moved it 180 degrees and reflecting over the x-axis then it would move to the same box it was in from the beginning
Answer:
b
Step-by-step explanation:
Evaluate the expression when y = -2
- 8y2
I believe this is the expression:
[tex] \displaystyle \large \boxed{ - 8 {y}^{2} }[/tex]
Since we want to evaluate it when y = -2, simply substitute y = -2 in the expression.
[tex] \displaystyle \large{ - 8 {( - 2)}^{2} }[/tex]
Any negative number squared will result in positive, refer below:
[tex] \displaystyle \large{ {( - a)}^{2} = {a}^{2} } \\ \displaystyle \large{ {( - 2)}^{2} = {2}^{2} } \longrightarrow \boxed{4} \\ [/tex]
Hence,
[tex] \displaystyle \large{ - 8(4) = - 8 \times 4} \\ \displaystyle \large \boxed{ -32}[/tex]
Answer:
-32
Step-by-step explanation:
Replace the variable y with -2 in the expression giving -8(-2)^2
Then, square -2 giving us (positive) 4
Lastly, multiply -8 with 4 and get -32 as our answer
(Hopefully this helped you! Feel free to ask again if you need more help. Tell me if the solution is unclear to you)
The price of an item has been reduced by $2.18. The new sale price is $16.55. What was the original price?
Answer:
$18.73
Step-by-step explanation:
$16.55 + $2.18
(sorry if I'm wrong)
a+b in terms of a and evaluated these expressions when a = 3
Answer:
a+b=a
or, 3+b=3 (a=3)
or, b= 3-3
or, b=0
11. Write y = 2x² +12x+14 in vertex form.
Please show work if possible so I know how to do it
Answer:
y = 2(x + 3)² - 4
Step-by-step explanation:
y = 2x² + 1 2x + 14
Move the constant (14) to the left side
y - 14 = 2x² + 12x
Now factor out 'a' , the coefficient of x² term
y - 14= 2(x² + 6x)
Divide the coefficient of 'x' by 2 ⇒ 6/2 = 3
Find the square of '3' and add it to x² + 6x ⇒ x² + 6x + 9
Multiply the square of 3 and add it to y - 14; 9*2 = 18
y- 14 = 2(x² + 6x + 9)
y - 14 + 18 = 2(x² + 6x + 9)
y + 4 = 2(x² + 6x +9)
y + 4 = 2(x + 3)²
y = 2(x + 3)² - 4
Vertex ( -3 , -4)
Solve for b.
2(b − 8) + –11 = 3
b =
Answer:
b = 15
Step-by-step explanation:
2 (b - 8) + -11 = 3
2b - 16 + -11 = 3
2b - 16 + -11 = 3
2b - 27 = 3
2b = 3 + 27
2b = 30
b = 30 ÷ 2
b = 15
Answer:
[tex] = > 2(b - 8) + - 11 = 3[/tex]
[tex] = > 2b - 16 + - 11 = 3[/tex]
[tex] = > 2b - 27= 3[/tex]
[tex] = > 2b = 27 + 3[/tex]
[tex] = > 2b = 30[/tex]
[tex] = > b = \frac{30}{2} [/tex]
[tex]=>b=15[/tex]
x3+y3+z3=k, what replaces k?
Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100.
On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42? … I hope it helps you
The straight line ax+by=1passes through the points (1,4)and (3,1).Find the values of a and b?
Answer:
a= 3/11
b = 2/11
Step-by-step explanation:
a(1) + b(4) = 1
a + 4b = 1
a(3) + b(1) = 1
3a + b = 1
b = 1-3a
a + 4(1-3a) = 1
a+ 4-12a = 1
-11a = -3
a = 3/11
b = 1-3(3/11)
b= 2/11
The value of a and b are 3/11 and 2/11 respectively.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We have been given that the straight line ax+by=1 passes through the points (1,4)and (3,1).
Thus, the equation of the straight line passing through the point ( 3,1 )
a(3) + b(1) = 1
3a + b = 1
b = 1-3a
Thus, the equation of the straight line passing through the point(1,4)
a(1) + b(4) = 1
a + 4b = 1
Now substitute the value of b;
a + 4(1-3a) = 1
a+ 4-12a = 1
-11a = -3
a = 3/11
Then b = 1-3(3/11)
b= 2/11
Hence, the value of a and b are 3/11 and 2/11 respectively.
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f(x)= 2/3x +3; Find when f(x)=-5
Hi ;-)
f(x) = ²/₃x + 3 ∧ f(x) = -5
²/₃x + 3 = -5
²/₃x = -5 - 3
²/₃x = -8 / * ³/₂
x = -12
If a tortoise is time traveling an average of 1/3 miles per hour, how long would it take the tortoise to travel 6 miles ?
Answer:
18
Step-by-step explanation:
6 ÷ 1⁄3 = 18
Can someone please help me use a protractor on this question since I don’t have one?
Answer:
If you don't have a protractor handy, you can determine the size of an angle using the basic geometric principles of triangles. You'll need a scientific calculator to solve the equations. Most smartphones are equipped with them, but you can also download a free app or access a free calculator online.
what’s the value of n?
Answer:
n=1
Step-by-step explanation:
(√5^5)^5 =5^n
5^1/5×5=5^n
1/5×5=n
5/5=n
n=1
Can someone please solve this?
Answer: x = 3
Step-by-step explanation:
[tex]2x-7=\frac{1}{3}x-2\\\\6x-21=x-6\\\\5x-21=-6\\\\5x=15\\\\x=3[/tex]
Sofia's batting average is 0.022 higher than Joud's batting average. Joud has a batting average of 0.169
What is Sofia's batting average?
Answer:
0.191
Step-by-step explanation:
S = Sofia's batting average
J = Joud's batting average
S=?
J=0.169
S = 0.022 + 0.169
S = 0.191
Answer:
0.191
Step-by-step explanation:
S = Sofia's batting average
J = Joud's batting average
S=?
J=0.169
S = 0.022 + 0.169
S = 0.191
Hope this helps <3
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8.76 11.9 11.73 15.9 in order please help me
Answer:
Least to greatest: 8.76,11.73,11.9,15.9
Greatest to least: 15.9,11.9,11.73,8.76
Step-by-step explanation:
plz give me brainliest
Answer:
Step-by-step explanation:
Use the number on the left of the decimal first. Smallest to largest gives
8
11
11
15
8 and 15 have their positions fixed. Where they are now, that is where they will stay.
So let's mark them
8.76
11
11
15,8
Now all we need do is figure out the 11s.
11.90
11.73
I added the 0 so you could think about money. You see a great looking scarf. Which would you rather pay: 11.73 or 11.90. Never mind that you really like it and the difference isn't worth squabbling about. Which is better to pay? You should answer 11.73. It's smaller than 11.90. So what's the answer
8.76
11.73
11.90
15.9