9514 1404 393
Answer:
$3400
Step-by-step explanation:
The way these tax tables are structured, you pay 3% on the first $10,000, 5% on the next $40,000, and 5.5% on the remaining $20,000 above $50,000.
tax = 0.03·10,000 +0.05·(50,000 -10,000) +0.055·(70,000 -50000)
= 300 + 2000 +1100
= 3400 . . . dollars
The tax owed on $70,000 is $3,400.
_____
Additional comment
I like to rewrite this sort of table to a different format:
3% of income . . . . . . . . . . . . . . . applies for income ≤ 10,000(5% of income) -$200 . . . . . . . . applies for 10,000 < income ≤ 50,000(5.5% of income) -$450 . . . . . . .applies for 50,000 < income ≤ 100,000For an income of $70,000, the tax computation using this form is one multiplication and one addition, rather than 3 multiplications and 4 additions as used when navigating the given table.
PLZZZ HELP!!! Brainliest to whoever can help!!! T^T
Answer:
I think it B
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
h=2x^2
b=5x^2+4x
we know that
area of triangle (A)=1/2×b×h
=1/2×2x^2×(5x^2+4x)
=x^2(5x^2+4x)
=5x^4+4x^3 square units
How to solve Solve 3!
Answer:
by solving 3
Step-by-step explanation:
Please help which is the greatest one!
Answer:
the Answer is 2^5
Step-by-step explanation:
Answer:
2^5
Step-by-step explanation:
5^2 = 25
2^5 = 32
3^3 = 27
1^10 = 1
Hope that this helps!
The estimated difference of 3209 and 1893, when rounded off to the nearest ten is
o(a) 1300
(b) 1310
(c) 1320
0 (d) 1000
Answer:
[tex] = (3209) - (1893) \\ = 1.32 \times {10}^{3} \\ = 1320[/tex]
[tex] \small{ \star{ \underline{ \blue{becker}}}}[/tex]
Answer:
1320
Step-by-step explanation:
round off
3209 ≈ 3210
1893 ≈ 1890
estimated difference = 3210 - 1890 = 1320
Abe is going to plant 54 oak trees and 27 pine trees. Abe would like to plant the trees in rows that all have the same number of trees and are made up of only one type of tree. What is the greatest number of trees Abe can have in each row?
HELP!
Answer:
9
Step-by-step explanation:
The GCF between 54 and 27 is nine.
The curriculum director in a large 3 points school district wants to determine the difference between the proportion of high school juniors who are enrolled in AP classes and the proportion of high school seniors who are enrolled in AP classes. She randomly selects 75 seniors and 70 juniors. Twenty-six of the seniors are enrolled in AP classes and 15 of the juniors are enrolled in AP classes. A 90 percent confidence interval for the difference between the proportion of seniors and juniors who are enrolled in AP classes is calculated. Which statement is not true?
A) The critical value used is 1.645.
B) The standard error of the difference is 0.074
C) The 90% interval was constructed using a method that results in intervals which capture the true difference in the proportion of seniors who are enrolled in AP classes and the proportion of juniors who are enrolled in AP classes 90% of the time.
D) She can be 90% confident that the true difference between the proportion of seniors who are enrolled in AP classes and the proportion of juniors who are enrolled in AP classes is between 0.0112 and 0.2535 students.
E) There is a 90% chance that the true difference between the proportion of seniors who are enrolled in AP classes and the proportion of juniors who are enrolled in AP classes is between 0.0112 and 0.2535
Answer:
C) The 90% interval was constructed using a method that results in intervals which capture the true difference in the proportion of seniors who are enrolled in AP classes and the proportion of juniors who are enrolled in AP classes 90% of the time.
Step-by-step explanation:
x% confidence interval -> Options c, d and e:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
This means that options d and e are correct, while option c is not true.
Option a -> Critical Value:
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
This means that option A is true.
Estimate of the standard error:
Before building the estimate, we should take a look at the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
26 of 75 seniors:
This means that:
[tex]p_s = \frac{26}{75} = 0.3467, s_s = \sqrt{\frac{0.3467*0.6533}{75}} = 0.055[/tex]
15 of 70 juniors:
This means that:
[tex]p_j = \frac{15}{70} = 0.2143, s_j = \sqrt{\frac{0.2143*0.7857}{70}} = 0.049[/tex]
Estimate of the standard error:
[tex]s = \sqrt{s_s^2 + s_j^2} = \sqrt{0.055^2 + 0.049^2} = 0.074[/tex]
Thus option b is correct.
write in algebraic expression the difference between a number m and the product of m and n. If you can help it would mean a lot
Answer:
m - mn
Step-by-step explanation:
The two numbers are denoted by m and n respectively.
From the question, we can deduce the following points;
- the difference between m and another variable (mn).
- product or multiplication of m and n.
Translating the word problem into an algebraic expression, we have;
m - (m*n)
m - mn
If the square of a positive integer is added to four times to integer the result is 117 find the integer.
Answer:
x = -2 ± 452i
Step-by-step explanation:
x² + 4x = 117
x² + 4x - 117 = 0
if you solve this quadratic by using the quadratic formula you get:
x = -2 ± 452i
452i is an imaginary number that equals [tex]\sqrt{-452}[/tex]
What is the shape of the cross-section formed when a cylinder intersects a
plane as shown in the drawing?
O A. circle
B. oval
C. rectangle
OD. square
Answer: circle
Step-by-step explanation:
The shape of the cross-section is formed when a cylinder intersects the plane is a circle option (A) is correct.
What is a cylinder?In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
As we know, the circle is a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
As we can see in the picture the cylinder is cut by a plane that is parallel to the base of the cylinder.
The base of the cylinder is a circle.
the shape of the cross-section is formed when a cylinder intersects a
the plane is a circle.
Thus, the shape of the cross-section is formed when a cylinder intersects the plane is a circle option (A) is correct.
Learn more about the cylinder here:
brainly.com/question/3216899
#SPJ2
What is the area of AABC?
B
2
X2
O
2
A
6
O A 26
B 13
OC 226
D
26
Answer:
[tex]Area = 13[/tex]
Step-by-step explanation:
Given
[tex]A = (4,0)[/tex] -- [tex]x1,y1[/tex]
[tex]B =(5,5)[/tex] -- [tex]x2,y2[/tex]
[tex]C =(0,6)[/tex] -- [tex]x3,y3[/tex]
Required
Area of ABC
This is calculated as:
[tex]Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|[/tex]
This gives:
[tex]Area = \frac{1}{2}|4 * 5 - 5 *0 +5*6 - 0*5 + 0*0 - 4*6|[/tex]
Using a calculator, we have:
[tex]Area = \frac{1}{2}|26|[/tex]
Remove absolute bracket
[tex]Area = \frac{1}{2}*26[/tex]
[tex]Area = 13[/tex]
5 bricklayers can lay a total of 50 bricks in 30 minutes. How many bricklayers will
be required to lay a total of 60 bricks in 18 minutes?
Answer:
First look at the number of bricks alone.
Going from 50 bricks to 60 bricks is more work, thus it will require more people. The number of people would be the ratio of the 2. Since the number must be larger, you know the numerator must be the larger of the 2 numbers, so you get 60/50
Next look at the time alone.
Going from 30 minutes to 20 minutes is more work, thus it will require more people. The number of people would be the ratio of the 2. Since the number must be larger, you know the numerator must be the larger of the 2 numbers, so you get 30/20
Now you can just multiply everything.
= 5*60/50*30/20
= 5*6/5*3/2
= 90\10
= 9.
In 2017, you are starting to plan for retirement. You decide to deposit
$2.000 into a mutual fund that compounds quarterly and earns 4.2% annual interest.
Find the balance in 2027.
Answer:
10,369.04
Step-by-step explanation:
Sorry if i'm wrong i got a little confused with this
Solve for x.
x = [?]
4x - 16
2x + 16,
Answer:
Solution given:
4x-16+2x+16=180{linear pair are supplementary]
6x=180
x=180/6
x=30
is a required answer.
Find the sum of each of the following polynomials.
a) [tex]x^3+5x^2+2, 3x^2-4x+7[/tex]
b) [tex]2x + 5x^3-2x^2+7, 9+4x-5x^2-2x^3[/tex]
c) [tex]5x^3+2x^2+4, 2x^2+7x-5, 7-5x^2 +3x-4x^3[/tex]
d) [tex]2x^4-3x^2+4x^3-5, 9x^2-7x^3-2x^4, 7-x+3x^4[/tex]
Answer:
[tex](a)\ Sum = x^3+8x^2-4x+9[/tex]
[tex](b)\ Sum =3x^3-7x^2+6x +16[/tex]
[tex](c)\ Sum = x^3-x^2+10x+6[/tex]
[tex](d)\ Sum = 3x^4 -3x^3+ 6x^2-x+2[/tex]
Step-by-step explanation:
Required
Sum of the polynomials
[tex](a)\ x^3+5x^2+2, 3x^2-4x+7[/tex]
[tex]Sum = x^3+5x^2+2+3x^2-4x+7[/tex]
Collect like terms
[tex]Sum = x^3+5x^2+3x^2-4x+2+7[/tex]
[tex]Sum = x^3+8x^2-4x+9[/tex]
[tex](b)\ 2x + 5x^3-2x^2+7, 9+4x-5x^2-2x^3[/tex]
[tex]Sum =2x + 5x^3-2x^2+7+ 9+4x-5x^2-2x^3[/tex]
Collect like terms
[tex]Sum =5x^3-2x^3-2x^2-5x^2+4x+2x +7+ 9[/tex]
[tex]Sum =3x^3-7x^2+6x +16[/tex]
[tex](c)\ 5x^3+2x^2+4, 2x^2+7x-5, 7-5x^2 +3x-4x^3[/tex]
[tex]Sum = 5x^3+2x^2+4+ 2x^2+7x-5+ 7-5x^2 +3x-4x^3[/tex]
Collect like terms
[tex]Sum = 5x^3-4x^3+2x^2+ 2x^2-5x^2+7x+3x-5+ 7 +4[/tex]
[tex]Sum = x^3-x^2+10x+6[/tex]
[tex](d)\ 2x^4-3x^2+4x^3-5, 9x^2-7x^3-2x^4, 7-x+3x^4[/tex]
[tex]Sum = 2x^4-3x^2+4x^3-5+ 9x^2-7x^3-2x^4+ 7-x+3x^4[/tex]
Collect like terms
[tex]Sum = 2x^4-2x^4+3x^4 +4x^3 -7x^3-3x^2+ 9x^2-x-5+ 7[/tex]
[tex]Sum = 3x^4 -3x^3+ 6x^2-x+2[/tex]
Use an exponential inequality to determine the number of years, t, after which the area covered by purple loosestrife will
exceed 850 acres.
Type the correct answer in the box. Use numerals instead of words.
The area covered by purple loosestrife will be greater than 850 acres for t > ___ years.
Answer: t>3
Step-by-step explanation:
PLATO
Answer:
t > 5
Step-by-step explanation:
A camel can drink 15 gallons of water in 10 minutes. At this rate, how much water can the camel drink in 5 minutes?
(Type an integer or decimal rounded to one decimal place as needed.)
Answer: 7.5 gallons
Step-by-step explanation:
1. You divide 15 by two
62% of what number is 84
Answer:
135.48
Step-by-step explanation:
g00gl3
Answer:
135.5
Step-by-step explanation:
0.62 = 62% and 135.5 times 0.62 is 84.01
X-7;x=23. I NEED help
Answer:
x-7=16
Step-by-step explanation:
if x=23 substitute it in the equation
so; 23-7=?
23-7=16
your answer would be 16
Answer:
my dad never returned home
what is a lineary equation
Answer:
In mathematics, a linear equation is an equation that may be put in the form are the coefficients, which are often real numbers.
Step-by-step explanation:
Hope this helped Mark BRAINLIEST!!!!
Get brainly if right !!
John and Jack divided their math homework. John solved twice
as many problems as Jack, plus one more problem. How many
problems did each boy solve if there are 28 assigned problems?
Answer:
Jack=9, John= 19
Step-by-step explanation:
28/3=9 1/3, counting as nine, as thats what got the right answer in my homework.
9 *2) +1= 19, no idea why the plus one, thats just what showed up
J1=19
J2=9
A car traveled 11.5 miles in 15 minutes. How many miles per hour was it traveling?
Answer:
46 miles per hour
Step-by-step explanation:
ِAn hour has 60 minutes. In 60 minutes, there is four 15 minutes (4*15 = 60).
So, if it travelled 11.5 miles in 15 minutes, in an hour, it travelled 11.5 * 4 = 46 miles per hour.
The miles per hour he was travelling is 46 miles.
What is the miles per hour travelled?
The first step is determine the average speed. Average speed is the total distance travelled per time.
Average speed = total distance / total time
11.5 / 15 = 0.766667 miles / per minutes
Miles travelled = average speed x time
Miles travelled = 0.766667 x 60 = 46 minutes
To learn more about average speed, please check: https://brainly.com/question/21734785
TERM 2: WEEK 8
CLASSWORK 1
1.
Solve the simultaneous equations using elimination method
4x - 3y = 1
x + 3y = 19c
a.
9514 1404 393
Answer:
(x, y) = (4, 5)
Step-by-step explanation:
We notice that the coefficients of y are opposites, so we can eliminate y by adding the two equations together.
(4x -3y) +(x +3y) = (1) +(19)
5x = 20 . . . . . . simplify
x = 4 . . . . . . . . .divide by 5
Substituting into the second equation gives ...
4 +3y = 19
3y = 15 . . . . . . . subtract 4
y = 5 . . . . . . . . . divide by 3
The solution is (x, y) = (4, 5).
Can the surface area of a sphere and the volume of a sphere be the same numerical value if the units are measured relative to the same unit of length?
A. Yes; the radius would need to be the unit radius, 1.
B. Yes; the radius would need to be 3.
C. No, the surface area would always be greater than the volume.
D. No, the volume would always be greater than the surface area.
Answer:
Volume = surface area
[tex]\frac{4}{3}\pi r^3 = 4\pi r^2\\\\\frac{r}{3} = 1\\r = 3[/tex]
option B
How to solve 4x - 5 = 2x + 19?
Answer:
x = 12
Step-by-step explanation:
4x - 5 = 2x + 19
First subtract the 2x from 4x.
2x - 5 = + 19
Then add the 5 to the 19.
2x = 24
Divide 24 by 2 in order to get x by itself.
x = 12
I need help with this question and no links or I will report you
Let the random variable X be the number of rooms in a randomly chosen owner-occupied housing unit in a certain city. Here are the distributions of the number of rooms for owner-occupied units and renter-occupied units:
Rooms 1 2 3 4 5
Owned 0.003 0.002 0.023 0.105 0.218
Rented 0.008 0.027 0.287 0.362 0.165
Rooms 6 7 8 9 10
Owned 0.225 0.198 0.149 0.053 0.024
Rented 0.095 0.033 0.013 0.003 0.004
Required:
a. Express "the unit has 7 or more rooms" in terms of X. x≥7. What is the probability of this event?
b. Express the event {X > 7} in words.
c. What important fact about discrete random variables does comparing your answers to (a) and (b) illustrate?
Answer:
Part a:
"The unit has 7 or more rooms" in terms of X is given by the unit which has 7, 8, 9 or 10 rooms.
P{ X≥7}= 0.424
Part b:
The event {X > 7} in words is that the unit has more than 7 rooms. .
Part C:
A continuous random variable is given by intervals of numbers
A discrete random variable is the variable that is obtained by counting.
Step-by-step explanation:
Part a:
"The unit has 7 or more rooms" in terms of X is given by
{ X≥7} = {x=7} + {x=8} + {x=9} + {x=10}
the unit which has 7, 8, 9 or 10 rooms.
The probability of this event is given by
P{ X≥7} =P {x=7} + P {x=8} + P {x=9} + P {x=10}
P{ X≥7} = 0.198 + 0.149+ 0.053 + 0.024
P{ X≥7}= 0.424
Part b:
The event {X > 7} in words is that the unit has more than 7 rooms. This does not include the unit having 7 rooms.
Part C:
A continuous random variable takes all the values in the given interval as in part a.The random variable X takes the values between 7 and 10 inclusive of 7.
A discrete random variable is the variable that is obtained by counting as in part b. The variable X takes the values of the units with 8 , 9 or 10 rooms.
9 - x < - 11
Show steps please
Answer: x > 20
Step-by-step explanation:
9 - x < - 11
In this scenario, we've to collect like terms in order to.wolve for x. This will be:
9 - x < - 11
- x < - 11 - 9
- x < - 20
Divide both side by -1
-x/-1 < -20/-1
When we divide by a coefficient with minus sign, the sign changes too from less than to greater than
-x/-1 < -20/-1
x > 20
Look at the graph below. Identify the slope to create the equation.
Answer:
y +x and the answer will be xy
What is the area??? 12m 6m 3m
Answer:
1320m
hope this helps
have a good day :)
have a good day :)
Step-by-step explanation:
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+124x+127
Answer:
Step-by-step explanation:
so when the height is zero, that's when the rocket hits the ground. The equation will have two zeros, but one would be for a negative time, or before the rocket is launched. so we only one the one after the rocket is launched.
use the quadratic formula to solve for x ( which is time)
-124 +- sqrt [ [tex]124^{2}[/tex] - 4*(-16)*(127) ] / 2 (-16)
-124 +- sqrt [15376 + 8128 ] / -32
-124 +- sqrt [23504 ] / -32
-124 +- 153.310 / -32
if we take the positive part it will become the negative time so skip that one try the negative part 1st
-124 - 153.310 / -32
-277.310 / -32
8.6659 seconds to hit the ground. ( time of flight) aka TOF
8.67 seconds ( rounded to nearest 100th)