The annual income of Janice when she accepts new job in Chicago be after paying rent, transportation, and food is, $409190.
What is the total cost?Total cost or the final cost is the summation of all the cost spend while buying any good or taking any service.
Janice has been offered a job in Chicago where her current salary of $30,000 will increase by 20 percent. Thus, his new salary is,
[tex]S=\dfrac{100+20}{100}\times30000\\S=36000[/tex]
He gets 6000 thousand extra after increment. Her annual income is,
[tex]S=36000\times12\\S=432000[/tex]
Before accepting the position, Janice wants to understand her potential cost of living.
She estimates that rent will be $1,500 per month. Thus, the She will have to take the train to and from work, which will be $3.50 round trip daily. Her food cost will be $75 per week.Janice works 5 days a week for 52 weeks per year. Her annual income be after paying rent, transportation, and food is,
[tex]S=432000-1500\times12-3.50\times5\times52-75\times52\\S=409190[/tex]
Thus, the annual income of Janice when she accepts new job in Chicago be after paying rent, transportation, and food is, $409190.
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Caroline opens a saving account at her local bank. She plans to put 1/10 or her net paycheck in her savings account every week. In June her paychecks are $164.69, $177.86. $187.74 and $163.04 how much money did Caroline put in her savings account?
Answer:
So she has $50–$43.85 = $6.15 in her pocket and $25 in her savings account
Step-by-step explanation:
Can someone please answer this, ill give you brainliest Would be very appreciated.
For the function: (x-4)(x+2)
y intercept: (0, -8)x intercept: (-2, 0) and (4, 0)vertex: (1, -9)Point these coordinates and draw a curve on the graph.
Answer:
See below ~
Step-by-step explanation:
Information needed to sketch the graph's function :
x-intercepts : (4, 0) and (-2, 0)Vertex : (1, -9)y-intercept : (0, -8)Graph :
By plotting these points on a graph, and connecting the points by a curve, we obtain the resultant graph of the function :
Enter the values needed to find the
length AB. (Simplify your answer.)
A (-5x, 4y)
AB = (3x)2 + ([?])2
D
E
C (7x, -1y)
Distance Formula
d = V(x2 - x1) + (72 - y)?
B (-2x,1-4y)
Answer: 8y
Step-by-step explanation:
The values needed to find the length AB will be;
⇒ AB = √(3x)² + (- 8y)²
What is Line segment?Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
Given that;
The coordinate are,
⇒ A = (- 5x, 4y)
⇒ B = (- 2x, - 4y)
Now,
Since, We know that;
The distance between the points (x₁ , y₁) and (x₂, y₂) is,
⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²
So, The distance between the points (- 5x, 4y) and (- 2x, - 4y) is,
⇒ d = √ (- 2x - (- 5x))² + (- 4y - 4y)²
⇒ d = √(3x)² + (- 8y)²
Thus, The values needed to find the length AB is find as;
⇒ AB = √(3x)² + (- 8y)²
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a 2 -gallon container of window costs 31.36. what is the price per cup
Answer:
0.98 $/cup
Step-by-step explanation:
The final answer asks for price/cup, as "per" means "divided by".
So, our final units will be in $/cup.
We are given that for every 2 gallons, it will cost $31.36.
In order to get from gallons to cups, we need to convert units.
In 1 gallon, there are 16 cups.
So, our conversion factor will be 16 cups/1 gallon.
[tex]\frac{31.36}{2} *\frac{1}{16} \\\\= 0.98[/tex]$/cup
Important things to note:
- With these types of problems, it makes it much easier if you just figure out what units you need in the final answer, and then use conversions and dimensional analysis to get the answer
Mary works in a factory that produces 1000 computers each day. When 25 computers were sampled, 7 were found to be defective. Estimate how many computers produced are defective per day.
A) 300 computers
B) 260 computers
C) 290 computers
D) 280 computers
Answer:
the correct is D. 280
Step-by-step explanation:
1. Make Sense of the Task
2. Representing & Solving the Task
3. Accuracy
4. Communicating & Reasoning
5. Proof of work! You can redo it the same way OR even better, use a totally different method!!
Work Sample Question:
Farmer John has a rectangular holding pen that measures 10 yards long and
5 yards wide to contain his cattle. He is acquiring more cattle from the
neighboring farmer and wants to add the same amount of fencing to each
side to create a new holding pen that encloses 176 square yards. How
much should FarmerJohn add on to each side of his existing holding pen to
achieve his goal?
Answer:
each side to the fence has 6 units added to have an area of 176
Step-by-step explanation:
Let me know if you need anything more !!
Happy to help :)
Match the graph
with its system.
a.
667
b.
c.
Syco
(x > 0
y 2-2
(y - x < 1
x < 3
x + y > 2
Sy < 2x + 1
(y 2 -x + 3
Sy = x <3
ly-x^2
10
d.
e.
Answer:
e
Step-by-step explanation:
The following graph represents the 2 equations :
y - x < 3y - x ≥ 2The correct option is (e).
Creating a dot plots. Use the data plot below to create a dot plot
Answer:
Here
Step-by-step explanation:
Depending on the amount of the number listed on the graph shows the dot amount
Solve for z in the figure below.
Answer:
z = 54
Step-by-step explanation:
x° = 45° (vertical angles)5y° + 45° = 180° (Linear pair angles)-> 5y° = 180° - 45°-> 5y° = 135°-> y° = 135°/5-> y° = 27°Next, find the measures of the angles of the triangle.x° + 3y° + z° = 180° (By interior angle sum theorem of a triangle)-> 45° + 3(27°) + z° = 180°-> 45° + 81° + z° = 180°->126° + z° = 180° -> z° = 180° - 126°-> z° = 54°-> z = 54
Can someone please help me with this?
Answer:
1 m^3
Step-by-step explanation:
Assume hight 4 and ength 4.
2, 1, 1 = 1
A. 12
B. 24
C. 84
D. 288
4. How many ways can 3 identical green candles and 7 identical blue
candles be arranged in a row in any variation?
A. 21
B. 3,628,800 C. 30,240
D. 120
How many ways can 8 keys be arranged on a key ring with no chain?
Answer:
anything else you need me to bring anything for you to come over and watch the kids tonight and I will be there in about the work I do not have a good day at work love you too baby girl I love you too baby a
1. A team loses 20 yards and then they gain 7
yards. What integer represents the total yards
gained or lost?
Answer:
The team lost 13 yards
Step-by-step explanation:
They lose 20 then gain 7. so the equation would be 20-7=13
Find the area of the sector.
Answer:
33.5
Step-by-step explanation:
60°÷360=0.16
60°/360° ×π×8²m
=33.5m²
Answer:
5.9 m²
Step-by-step explanation:
Area (shaded) = Area (sector) - Area (triangle)
Finding base of triangle
(b/2)² + (6.9)² = 8²b²/4 + 47.61 = 64b²/4 = 16.39b² = 65.56b = 8.09 (approx.)Solving
Area (shaded) = 3.14 x 64 x 60/360 - 1/2 x 8.09 x 6.9Area (shaded) = 200.96 x 1/6 - 3.45 x 8.09Area (shaded) = 33.49 - 27.91Area (shaded) = 5.58 ≅ 5.9 m²How to factorise x2+x+1
Answer:
x2- 2x+1 =x2-x-x+1
=x(x-1) -1(x-1)
=(x-1)(x-1)
We need to keep it this way as this is the simplest way of expressing its factors.
-1
the diameter of a circle measures 20 cm. What is the circumference of the circle?
Step-by-step explanation:
the circumference of a circle is
2×pi×radius = pi×diameter
so, in our case
pi×20 = 62.83185307... cm
help, I need it by 9:00 am
Option B. because all rational numbers are integers.
Have a look at the above venn diagram showing the relationship between - Real, irrational, rational, integers, whole and natural numbers.
[tex]\longrightarrow{\green{Option \: B.}}⟶Option \: B.[/tex]
A, B and C lie on a straight line segment.
A, E and D lie on a straight line segment.
BE = 1.75m, CD = 7m and BC = 1.5m.
Work out the length of AB.
A
E
B
D
С
The value of AB id 0.5 unit.
What is AAA similarity ?The Angle-Angle-Angle (AAA) criterion for the similarity of triangles states that “If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion) and hence the two triangles are similar”.
What are corresponding angles?Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal are called corresponding angles and they are always equal.
According to the given question.
A, B and C lie on the straight line segment. and A, E, and D are also lie in the straight line segment.
Also, BE = 1.75m, CD = 7m and BC = 1.5m
Now, in ΔAEB and ΔADC
EB is parallel to BC
So,
∠AEB ≅ ∠ADC (corresponding angles)
∠ABE ≅ ∠ACD (corresponding angles)
∠EAB ≅ ∠DAC (common angle to the both triangle)
Hence, by AAA Similarity rule
ΔAEB is similar to ΔADC
Therefore,
[tex]\frac{AE}{AD} =\frac{BE}{CD} =\frac{AB}{AC}[/tex] (sides of the similar triangles are in proportion)
So,
[tex]\frac{BE}{CD} =\frac{AB}{AC} \\\implies \frac{AB}{AC} =\frac{1.75}{7} ....(i)[/tex]
Now, AC = AB + BC (as, A, B, and C lie on a straight line)
[tex]\implies \frac{AB}{AB+BC} =\frac{1.75}{7}[/tex] (from (i))
[tex]\implies \frac{AB}{AB+1.5} =\frac{1.75}{7}[/tex]
[tex]\implies 7AB = 1.75AB + 1.75(1.5)[/tex]
[tex]\implies 7AB -1.75AB = 2.625[/tex]
[tex]\implies 5.25AB = 2.625[/tex]
[tex]\implies AB = \frac{2.625}{5.25} = 0.5[/tex]
Hence, the value of AB id 0.5 unit.
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Convert the following decimal to a fraction. 0.425
Answer:
~17/40~
Step-by-step explanation:
Please answer
taylor is playing a board game with two friends. using a single dice, one friend rolled a one, and the other friend rolled a three. taylor needs to roll a number higher than both than both friends in order to win the game, and she wants to calculate her probability of winning. how many desired outcomes should taylor use in her probability calculation?
a. 3
b. 4
c. 6
d. 2
Using the probability concept, it is found that the number of desired outcomes that Taylor should use in her calculation is given by:
a. 3
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, Taylor needs a number greater than 3, which for the dice are 4, 5 and 6, that is, 3 desired outcomes, hence option A is correct.
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Answer: The answer is 3
Step-by-step explanation:
What is the Lcm of 5 and 11
Answer:
55
Step-by-step explanation:
55
Answer:
55
Step-by-step explanation:
11×5=55.So 55 is the lcm of 5&11
This question is designed to be answered with a calculator. which inequality compares the left (l), right (r), and trapezoidal (t) sum approximations of the area under the curve f(x) = 2 cos(2x) over the interval [0, pi/ 4] using 3 equal subdivisions?
a.) l < t < r
b.) r < l < t
c.) r < t < l
d.) t < r < l
The inequality compares the left (l), right (r), and trapezoidal (t) sum approximations of the area under the curve is C. r < t < l.
How to illustrate the inequality?From the information given, it should be noted that f'(x) is negative. Therefore, L > R. Also since f"(x) is negative, T > R.
f(x) = 2 cos 2x.
f'(x) = -4 sin 2x
f"(x) = -8 cos 2x
Therefore, the inequality compares the left (l), right (r), and trapezoidal (t) sum approximations of the area under the curve is r < t < l
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find the result of 765 times 95 divided by 5?
please help me
Answer:
14,535
Step-by-step explanation:
765 times 95 : 765 x 95 = 72,675
divided by 5 : [tex]\frac{ 72,675}{5} = 14,535[/tex]
Let me know if you want an even more in-depth answer
Happy to do so !
The solution of expression 765 times 95 divided by 5 is,
⇒ 14,535
We have to given that,
To find value of 765 times 95 divided by 5.
We can solve it in two parts,
⇒ 765 times 95
⇒ 765 x 95
⇒ 72,675
And, It is divide by 5,
⇒ 72,6756 / 5
⇒ 14,535
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What is the value of the 3 in the following numbers?
a) 37
b) 389
b) 6.38
c) 2873
c) 0.048
2 What is the value of the 8 in the following numbers?
a) 0.8
3 What is the value of the 5 in the following numbers?
a) 573
b) 8596
b) 0.71
c) 0.54
c) 401
4 What is the value of the 1 in the following numbers?
a) 18 300
d) 6.13
d) 184 000
d) 3.85
d) 0.041
Answer:
a.tens
b.hundreds
b.tenths
c. ones
c
What is the number of degrees
Answer:
Step-by-step explanation:
Remark
Since this is a multiple choice question, you need not worry excessively about solving the equation that sin(4x) and Cos(3x + 13) produce. It can be done, but you will spend a lot time and drink a lot of coffee doing it.
C
The wording of this problem is not the best. 13 is not in any way considered.
4x = 4*13 = 523x + 13 = 52.Not only are the two angles equal (52) but they add to 104 which is greater than 90.
11 is the next one you should look at
4*11 = 44
3*11 + 13 = 46
That gives you the right answer, but the question you have to ask yourself is are you answering the question? I don't think you are. The question is the number of degrees in the smaller angle. I think that means that you have already substituted a value for x.
I think the answer is C.
What is the slope of the line that passes through the points (-7,-2) and
(-2,-22)? Write your answer in simplest form.
[tex](\stackrel{x_1}{-7}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-22}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-22}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{(-7)}}}\implies \cfrac{-22+2}{-2+7}\implies \cfrac{-20}{5}\implies -4[/tex]
Quinn mailed four postcards that each cost $0. 25, five letters that each cost $0. 44, two large envelopes that each cost $0. 80, and one small package for $5. 10. Which cost on the list of mailing fees on Quinn’s receipt would skew the mean? the cost of a postcard the cost of a letter the cost of a large envelope the cost of the small package.
Answer:
The cost of the small package because...
Step-by-step explanation:
Cost of 1 postcards = $0.25
Cost of 4 postcards = 0.25 x 4 = 1
Cost of 1 letter = $0.44
Cost of 5 letters = 0.44 x 5 = 2.2
Cost of 1 large envelope = $0.80
Cost of 2 large envelopes = 0.80 x 2 - 1.6
Cost of 1 small package =$5.10
Since the cost of small package is highest
So, It will increase the mean
So, the cost of the small package will skew the mean
A company is considering two different prize policies for a sweepstakes. In Policy A, the cost to enter is $5. and the overall win rate is 10%. 90% of the winners receive a product worth $10. 9.5% of the winners receive a product worth $50, and 0.5% of the winners receive $250 in cash. In Policy B, the cost to enter is $10, and the overall win rate is 15%, 80% of the winners receive a product worth $10, 18% of the winners receive a product worth $50, and 2% of the winners receive $250 in cash.
The company predicts that Policy A will attract 10.000 entries, and Policy B will attract 5000 entries. Which policy makes the largest proſt for the company? By how much?
a. Policy A, by 1500
b. Policy A, by 4000
c. Policy B, by 1500
d. Policy B, by 4000
An explanation would be really awesome!
The policy that makes the largest proſit for the company is Policy A, by $1500.
Which policy makes the largest proſIt?Profit is the amount paid by people to enter the sweepstakes less the amount they can win.
Policy A's profit: $5 - 0.1[(0.9 x $10) + (0.095 x $50) + (0.005 x $250)] = $5 - 1.5 = $3.5
$3.5 X 10,000 = $35,000
Policy B's profit:10 - 0.15[(0.8 x 10) + (0.18 x 50) + (0.02 x 250) = 10 - 3.30 = 6.7$6.7 X 5000 = $33500
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The markup on a restaraunt meal is 250%. A meal costs $7.30 to produce. How much will the customer be charged before tax and tip.
Answer:
$25.55
Step-by-step explanation:
7.30*2.50=18.25
7.30+18.25=25.55
Complete the frequency table using 6 intervals beginning with 1-15.
Answer:
1. 18 just + 6
Step-by-step explanation:
Mikayla is building a pyramid of paper cups. The bottom row has 61 cups while the top row has only one cup. If there are 16 total rows and the number of cups on each row represents an arithmetic sequence, find the total number of cups.
The number of cups will be equal to 496.
What is arithmatic progression?The sequence in which every next number is the addition of the constant quantity in the series is termed as the arithmatic progression
Here we have the data:-
The bottom row has 61 cups
If there are 16 total rows
The number of the cups will be calculated as:-
[tex]S_n=\dfrac{n(a_1+a_n)}{2}[/tex]
Here a1 is first term 1
an is last term 2
n is the total number of the rows
By putting the values in the question we will get:-
[tex]S_n=\dfrac{16(1+61)}{2}=\dfrac{16\times 62}{2}=496\ cups[/tex]
Hence the number of cups will be equal to 496.
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