Until the age of [tex]59.5[/tex] years, the amount saved from the withdrawal of funds is [tex]\$3,600.[/tex]
Used the concept of tax which states that,
A tax is an obligatory payment made by the taxpayer to the government in respect of the income earned in the previous year.
Given values:
Amount of funds: [tex]\$45,000[/tex]
Normal tax rate: [tex]20\%[/tex]
Penalty rate at [tex]59.5[/tex] years: [tex]10\%[/tex]
Step-1; Computation of after-tax amount paid at 54 years:
[tex]A_1= \text{Amount of funds} \times (1 - \text{Tax rate})[/tex]
[tex]= \$45,000 \times (1 - 0.2)[/tex]
[tex]= \$36,000[/tex]
Step-2; Computation of after-tax amount paid at 59.5 years:
[tex]A_2 = \text{Amount of funds} \times (1 - \text{Tax rate}) (1 - \text{Penalty rate})[/tex]
[tex]= \$45,000 \times (1 - 0.20) \times (1 - 0.10)[/tex]
[tex]= \$32,400[/tex]
Step-3; Computation of the amount saved;
[tex]\text{Amount saved} = A_1 - A_2\\= \$36,000 - \$32,400\\= \$3,600[/tex]
Therefore, the amount [tex]\$3,600.[/tex] was saved with the amount of [tex]\$36,000[/tex] paid-in [tex]54[/tex] years and the amount of [tex]\$32,400[/tex] paid-at [tex]59.5[/tex] years.
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please help me solve this!!
5x = 3y + 18
3x + 5y = 4
Answer:
Slope=
2.000
1.200
=0.600
x−intercept=
3
4
=1.33333
y−intercept=
−5
4
=−0.80000
thats the first one
Step-by-step explanation:
WILL MARK BRAINLEST FOR CORRECT ANSWER
STANDARD FORM
4x + 6y = 12
Find the X and Y intercepts
(0, ) ( ,0)
Answer:
Shouldn't it be (4,0) and (0,6)?
Step-by-step explanation:
Help me someone please I’m lost and confused??
Answer: go to Cymath
Step-by-step explanation: This helped me with like everything in math class! It gives you step by step answers
PLZZZZZZ HELP MEEEEE? Simplify l -10l-l8l+4 A.7 B.4 C.5 D.6
Answer:
D. 6
Step-by-step explanation:
Simplify: 10 - 8 + 410 - 8 = 2Plug 2 in: 2 + 42 + 4 = 6I hope this helps!
what is binomil (2a–1)(a–3)
Answer:
[tex]2a^2-5a+3[/tex]
Step-by-step explanation:
2a(a-3)-1(a-3)=
2a^2-6a-a+3=
2a^2-5a+3
Answer:
Step-by-step explanation:
A plece of wood has a volume of 30 cm. It has a length of 2 cm and a width of 3 cm. What is the height of the wood?
5 cm
60 cm
15 cm
6 cm
Answer:
HERE IS YOUR ANSWER
Step-by-step explanation:
volume = length × width × height
30 = 2 × 3 × h
30 = 6h
5=h
It is 5 cm high
Hope it helps you
Regards,
Rachana
If f(x) = 2x-5 and g(x) = x2 - 4x - 8, find (f+ g)(x).
O A. (f+9)(x) = x2 - 2x - 13
O B. (f+g)(x) = x2 + 2x - 3
O C. (f+g)(x) = x2 - 2x-3
O D. (f+g)(x) = 3x2 - 4x - 13
The addition of the functions f(x) and g(x) will be (f+ g)(x) = x² – 2x – 13. Then the correct option is A.
What is a function?Functions are found all across mathematics and are required for the creation of complex relationships.
If f(x) = 2x – 5 and g(x) = x² – 4x – 8.
Then the function (f+ g)(x) will be
(f+ g)(x) = f(x) + g(x)
(f+ g)(x) = 2x – 5 + x² – 4x – 8
(f+ g)(x) = x² – 2x – 13
Then the correct option is A.
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Write the inverse function for the function, ƒ(x) =x + 4. Then, find the value of ƒ -1(4). Type your answers in the box.
ƒ -1(x) =
ƒ -1(4) =
Answer:
f-1(x)=x-4
f-1(4)=0
Step-by-step explanation:
to get an inverse function, replace x with y, and y with x.
y=x+4 ---> x=y+4
solve for y: x=y+4 --> y=x-4 --> f-1(x)=x-4
f-1(4)=(4)-4=0
Gayle is saving money to buy a
camera that costs $315. She has
$40 saved, and each week she adds
$25 to her savings. How many
weeks will it take Gayle to save
enough money to buy the camera?
dividing a faction by a fraction 3/5 divided 1/3
Answer:
9/5
Step-by-step explanation:
3/5 ÷ 1/3
3/5 ÷ 3/13/5 × 3/1 = 9/59/5
PLS HELP ASAP FOR BRAINLIEST
Answer:
y=3
Step-by-step explanation:
it is because X=-2 had crossed the point y=3
hope this help you!!!! ;))))))
Which graph shows a set of ordered pairs that represent a function ?
Answer:
C
Step-by-step explanation:
if you draw a line between the points then draw vertical lines they dont cross more than one dot
What is 1 11/16 simplified
Answer:
Its already simplified but if you mean a mixed number then its 27/16
Step-by-step explanation:
Use the rule y = 3x + 1 to fill in the missing entries in the input-output tables.
Answer:
y=4, y =16, x=10, x=15
Step-by-step explanation:
Plug the x values in the x place and then solve from there and for y values plug em in and easy answer
The length of a rectangle is twice that of the width. The perimeter of the rectangle
is 24 cm. What is the width of the rectangle?
9514 1404 393
Answer:
4 cm
Step-by-step explanation:
The sum of length and width is half the perimeter, so is 12 cm.
The width : length ratio is 1 : 2. The width is 1/(1+2) = 1/3 of the total of length and width, so is ...
(1/3)(12 cm) = 4 cm
The width of the rectangle is 4 cm.
-3(x+n)=x
Rewrite each equation to solve for x
Answer:
isolate the variable by dividing each side by factors that dont contain the variables. so this mean -3(x+n)=x becomes x= -3n over 4, I hope this helps.
A shorter style of cup is stacked tall. The graph displays the height of the stack in centimeters for different numbers of cups. How much does each cup after the first add to the height of the stack? (Hint: How much height is gained per cup added?) Explain how you know.
SCREENSHOT OF GRAPH! HELP
Answer:
0.5 cm
Step-by-step explanation:
We are looking for how much height is gained per cup added.
Height per cup added can be calculated by finding the slope of the line that runs through the two given points on the graph, (3, 5.5) and (8, 8).
Formula for slope = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Let,
[tex] (3, 5.5) = (x_1, y_1) [/tex]
[tex] (8, 8) = (x_2, y_2) [/tex]
[tex] m = \frac{8 - 5.5}{8 - 3} [/tex]
[tex] m = \frac{2.5}{5} [/tex]
[tex] m = 0.5 [/tex]
0.5 cm is gained per cup added.
The rise in height per cup will be 0.5 cm.
Given information:
The given graph displays the height of the stack in centimeters for different numbers of cups.
The given points on the graph are (3,5.5) and (8,8).
Now, the slope of the line joining these two-point will give the rise per cup.
So, the slope will be calculated as,
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\m=\dfrac{8-5.5}{8-3}\\m=\dfrac{2.5}{5}\\m=0.5[/tex]
So, the slope is 0.5 centimeters per cup.
Therefore, the rise in height per cup will be 0.5 cm.
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State the range of the relation. {(3,-2),(4,-3),(5,-4),(6,0)} *
Answer:
range { -4,-3,-2,0}
Step-by-step explanation:
The range is the output values
range { -4,-3,-2,0}
help pls ?? it’s confusing
Answer:
2x+24+4x+36=180
6x+60=180
6x=180-60
6x=120
x=120/6
x=20
So <KPL=64 AND <JPL=116
Answer:
KPL = 64 JPL = 116
Step-by-step explanation:
This is a straight angle, meaning this angle will equal 180 degrees.
They give you two parts of this angle, which is (2x+24) and (4x+36)
All you have to do is add them and set this equal to 180.
So when you add 2x+24+4x+36=180 that equals 6x+60=180
Do the algebra, subtract 60 on both sides.
180-60=120
Now divide 6 on both sides.
120/6 = 20
Great, so now solved x. To find the angles, we must plug them in.
2(20)+24= 64
4(20)+36= 116
So your answer should be
KPL = 64 and JPL = 116.
This is correct because when you add these results together, you get 180.
Slope :3 y-intercept :1
Answer:
y = 3x + 1
Step-by-step explanation:
y = mx + b
The slope, or m, is 3.
The y-intercept, or y, is 1.
Plug them into the equation.
y = mx + b
y = 3x + 1
what is 328 divided by 23 with the remainder
Answer:
7.1
Step-by-step explanation:
328 23 = 14.2608695652
14.2608695652 = 142.608695652 to the nearest tenth
14.2608695652 = 14.26 to the nearest hundredth
14.2608695652 = 14.261 to the nearest thousandth
= 0 to the nearest tenth
= 0 to the nearest hundredth
= 0 to the nearest thousandth
Other Divisions Math homework are
328 divide by half plus 20
Homework answers: (328/2) + 20 = 184
328 divide by half plus 40
Homework answers: (328/2) + 40 = 204
328/23 divided by 2
Answer: (328/23) ÷ 2 = 7.13043478261
Patty needs a total of $80 to buy a bicycle. She has already saved $35. If she saves $10 a week from her earnings, what is the least number of weeks she must work to have enough money to buy the bicycle?
Answer:
5 weeks
Step-by-step explanation:
She would need to work at least 8 weeks because the bicycle is $80 and she has $35.
Answer:
5 weeks
Step-by-step explanation:
i took 80 - 35 to get 45 (money she still needs)
then took 45 divided by 10 to get 4.5 ( how many weeks till she has the money)
and if you get 10 dollars per week and its asking how many weeks
you have to up the 4 by one because it has a .5
so it would be 5 weeks
7+root 3 divided by 7-root 3
Which infinite geometric series can you NOT find the sum?
A) 96, 24, 6, 1.5, 0.375,...
B) 81, 72.9, 65.61, 59.049,...
C) 127, 152.4, 182.88, 219.456,...
D) 154, 53.9, 18.865, 6.60275,...
Answer: C) 127, 152.4, 182.88, 219.456,...
Step-by-step explanation:
You can only find the sum of an infinite geometric sequence if it converges.
One criterion to see if the series converges is if:
aₙ < aₙ₋₁
This means that, as n increases, the value of the terms decreases.
This means that as n tends to infinity, aₙ tends to zero.
Then we only can find the sum of those series where the terms are decreasing.
in A, B and D the terms are decreasing, then we can find the sum of those 3 series.
Now in the case of C, the terms are increasing, then we can not find the sum of that series.
Please help!! Will Mark brainliest!!
Find the distance between the two points in simplest radical form.
(-1,0) and (5, -8)
Answer:
10
Step-by-step explanation:
Given coordinates:
(-1,0) and (5, -8)
Unknown:
Distance between the two endpoints = ?
Solution:
(-1,0) and (5, -8)
The equation for solving this problem is shown below;
Distance = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1} )^{2} }[/tex]
x₁ = -1 y₁ = 0
x₂ = 5 y₂ = -8
Distance = [tex]\sqrt{[(5-(-1)]^{2} + (-8 - 0)^{2} } }[/tex] = [tex]\sqrt{36 + 64}[/tex] = 10
The distance between the two points is 10.
Last question!
Find the equation of the line
Y=__x +__
Grandma baked 969696 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received ccc fewer cookies than she would have received had all of the cookies been evenly divided among the 8 grandchildren. How many cookies did Cindy receive?
Answer:
Cindy get (12-c) amount while others get 12 cookies
Step-by-step explanation:
From the question we are informed that Grandma baked 96 cookies
And there are 8 Number of grandchildren available
But the cookies must be divided equally among this grandchildren to calculate the number of cookies each of them get we have,
= 96 cookies baked/8 Number of grandchildren available
= 12 cookies
Which means each get 12 cookies
But
Cindy received less cookies with less C amount.
Then Cindy own will be( 12-c) cookies
Therefore Cindy get (12-c) amount while others get 12 cookies
Answer:
12-c
Step-by-step explanation:
Khan academy unit test, 7th grade math.
Sarah goes grocery shopping and buys oranges by the pound. Does this represent a discrete or continuous graph?
Answer:
continuous graph
Step-by-step explanation:
Find the x-intercept and the y-intercept of the line below. Click on "None" if applicable.
The required x-intercept and y-intercept of the given line in the graph are 1 and -2 respectively.
What is an intercept of a line?The intercept of the line is defined as points where the line intersects the principle axes.
Here,
The x-intercept and y-intercept of the line are defined as the points where the given line cuts the coordinate axes.
So, from the above definition, the line intersects the x-axis at +1 and intersects the y-axis at -2.
Thus, the required x-intercept and y-intercept of the given line in the graph are 1 and -2 respectively.
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