Answer:
n > -4
Step-by-step explanation:
1) Combine like terms.
13 + n > 9
2) Isolate n. (subtract 13 from both sides)
n > -4
The sales tax in your city is 8.8% and an item cost $63 before tax.
How much tax would you pay on that item?
Round to the nearest hundredth or cent.
Answer:
5.54 in tax
Step-by-step explanation:
63 x .088=5.54
The price-demand and cost functions for the production of microwaves are given asp= 195 - q/40and C(g)C(q) = 19000 + 30q,where Q is the number of microwaves that can be sold at a price of p dollars per unit and C(q) is the total cost (in dollars) of producing Q units.(D) Evaluate the marginal revenue function at q = 1000.R'(1000) =(E) Find the profit function in terms of q.P(q)=(F) Evaluate the marginal profit function at q = 1000.P'(1000)
The marginal revenue function R'(1000) is 145.
What is marginal cost?The term "marginal cost" describes the rise or fall in price associated with producing or providing services to an additional consumer. It also goes by the name incremental cost.
Given,
P = 195 - q/40
C(q) = 19000 + 3q
(A) Marginal cost
C'(q) = 0 + 3
= 3
(B) Revenue function
R(q) = q × P
= q( \(195- \frac{q}{40}\))
= 195q - q²/40
(C) Marginal revenue
R'(q) = 195 - 2q/40
= 195 - q/20
(D) R'(1000) = 195 - 1000/20
= 195 - 50
= 145
(E) P(q) = R(q) - C(q)
195q - (q²/40) - 19000 - q/40
194q - (q²/40) - 19000
(F) P'(1000) = 194 - 2q/40
= 194 - 2(1000)/40
= 194 - 50
= 144
The marginal revenue function is 145.
The profit function in terms of q is 194q - (q²/40) - 19000.
The marginal profit function P'(1000) is 144.
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If a coin is flipped 10 times, what is the best prediction possible for the number of times it will land on tails
Answer:
5 times
Step-by-step explanation:
There is a 1/2 (50%) chance each time it is flipped that it will land on heads. Therefore, if flipped 10 times, 1/2 of 10 is 5
Which values of k are solutions to the inequality?
k>12
Select each correct answer.
k = 11.9
k = 12.1
k = 13.0
k = 19.9
k = 10.2
Answer:
B: k = 12.1
C: k = 13.0
D: k = 19.9 ARE THE CORRECT ANSWERS
Step-by-step explanation:
Answer:B: k = 12.1
Step-by-step explanation:
14 points! PLEASE HELP!!!
Step-by-step explanation:
I just did in the other posting. how often did you post it ?
this is a trick question. the triangle at the top is not an isoceles triangle.
we use Pythagoras for an the steps.
so, the left part of the baseline (split by the height) is calculated by
12² = 10² + part²
144 = 100 + part²
part = sqrt(44) = 6.633249581... ft
the other part is then
20 - 6.633249581... = 13.36675042... ft
and the second leg of the large triangle is
leg² = 10² + 13.36675042...² = 278.6700168...
leg = 16.69341238... ft
P = 12 + 16.69341238... + 8 + 8 + 20 = 64.69341238... ft ≈
≈ 64.69 ft
please see the answer to the other posting for more details.
PLEASE HELP THANK YOU ILL MARK BRAINLESS
Answer:
m = 3/4
Step-by-step explanation:
We have the points (-2,2) and (2,5). We can use those to calculate the slope:
m = 5 - 2 / 2 - (-2)
m = 5 - 2 / 2 + 2
m = 3/4
Marissa has a savings account with $48 in it that earns 2% simple
interest per year.
How much money, to the nearest penny, will Marissa have in 7 years?
Give your answer in dollars.
Marissa will have $720 in 7 years when she has $48 in her saving account that earns 2% simple interest per year.
What is simple interest?Simple interest is a quick and simple approach to figuring out how much money has accrued interest. Interest is always applied to the original principal amount and is calculated at the same rate for each period of time. Any bank where we deposit money will pay us interest on that amount. Simple interest is one of many forms of interest that banks charge. Now, let's first clarify what a loan is before delving further into the idea of simple interest.S.I. = P R T,where
P = Principal, R = Rate of Interest in% per annum, and T = Time periodThe interest rate is expressed as r/100 and is expressed as a percentage or r%.Principal: The principal is the sum that was first invested or borrowed from the bank. P stands for the principal.Rate: Rate is the interest rate at which the principal sum is granted to someone for a specific period of time; examples of rate interest are 5%, 10%, and 13%. R stands for the interest rate.Time: The amount of time that the principal is given to someone. T represents time.Amount: When a borrower repays a bank loan, the term "Amount" refers to the sum of the principal borrowed plus the interest paid.Amount = Principal + Simple Interest or A = P(1 + RT)Calculation
From, A = P(1 + RT)
where, p = $48
R = 2%
T= 7 years
A = 48(1 + 2*7)
A = $720
Hence, Marissa will have $720 in her bank account after 7 years.
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Ocho elevado a la cinco?
Answer:
The Greek scientist who concluded that the sun is the center of the solar system, and that the Earth revolves around the Sun, was
A.
Aristarchus.
B.
Euclid.
C.
Eratosthenes.
D.
Epicurus
Step-by-step explanation:
Your firm purchases a business copier that costs $14,000 and requires $3,000 in maintenance for each year of its four-year life. After four years, the copier will be replaced. The copier falls into the MACRS three-year class life category. Use table 12.8 on page 415 in your textbook for DDB depreciation. If the tax rate is 32 percent, whats the depreciation tax shield for this project in year 4?
Answer:
The depreciation tax shield for this project in year 4 is $178.24.
Explanation:
To calculate the depreciation tax shield for this project in year 4, we need to first determine the depreciation expense for year 4 using the MACRS three-year class life category and the double-declining balance (DDB) method.
From Table 12.8 on page 415 of the textbook, we can see that the depreciation rate for year 1 is 33.33%, for year 2 it is 44.45%, for year 3 it is 14.81%, and for year 4 it is 7.41%.
Using the DDB method, we can calculate the depreciation expense for each year as follows:
Year 1: Depreciation expense = $14,000 x 33.33% = $4,667
Year 2: Depreciation expense = ($14,000 - $4,667) x 44.45% = $3,554
Year 3: Depreciation expense = ($14,000 - $4,667 - $3,554) x 14.81% = $830
Year 4: Depreciation expense = ($14,000 - $4,667 - $3,554 - $830) x 7.41% = $557
The total depreciation expense over the four years is the sum of the individual year's depreciation expenses, which is:
$4,667 + $3,554 + $830 + $557 = $9,608
Now, we can calculate the depreciation tax shield in year 4. The depreciation tax shield is the amount of the depreciation expense that reduces the firm's taxable income, multiplied by the tax rate. In year 4, the depreciation tax shield is:
Depreciation tax shield = Depreciation expense in year 4 x Tax rate
Depreciation tax shield = $557 x 32% = $178.24
Therefore, the depreciation tax shield for this project in year 4 is $178.24.
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U thought this was a professional answer?!!!!??????
You're wrong!!!!!!!!!!!!!!!!!
But the answer is correct though...
:))
PEW PEW PEW
Bing Chilling
It's over...
No more to read
Happy birthday if it's ur birthday...
Have a nice day my king:)
A rectangular solid measures 150cm by 100cm by 200cm calculate the volume, in cm3 and in dm3 show conversion factors
Answer:
3000000cm³
3000dm³
Step-by-step explanation:
150cm x 100cm x 200cm = 3000000cm³
\((3000000cm^{3}) (\frac{(10)^{3}(dm)^{3} }{(100)^{3}(cm)^{3} }) = 3000dm^{3} \)
4 is the slope of a line y - 4x = 0 true or false
it is false but 4 is not y-4x=0
In the figure below, find the exact value of x. (Do not approximate your answer.)
Triangle ADC also has a right angle at D, making it a right-angled triangle.
The exact value of x be 2.25.
What is meant by "Pythagoras Theorem"?The hypotenuse's square is equal to the sum of its two other side squares of a right-angled triangle, according to the Pythagoras theorem.
Triangle ADB exists even a right-angled triangle with right-angle at D.
Therefore, Base of Triangle ADB = BD = 4,
Height of Triangle ADB = AD = 3,
Hypotenuse of Triangle ADB = AB
Using the Pythagoras Theorem, we get,
\($\left[(A D)^2+(B D)^2\right]=(A B)^2$\)
substitute the values in the above equation, we get
or,\($(A B)^2=\left[(3)^2+(4)^2\right]$\)
simplifying the equation, we get
or, \($(A B)^2=[9+16]$\)
or, \($(A B)^2=25$\)
or, \($\sqrt{(A B)^2}=\sqrt{25}$\)
or, AB = 25
Triangle ADC is also a right-angled triangle with right-angle at D.
Therefore, Base of Triangle ADC = DC = x
Height of Triangle ADC = AD = 3,
And, Hypotenuse of Triangle ADC = AC
Using the Pythagoras Theorem, we get,
\(& {\left[(D C)^2+(A D)^2\right]=(A C)^2} \\\)
simplifying the equation, we get
\(& \text { or },(A C)^2=\left[(3)^2+(x)^2\right] \\\)
\(& \text { or },(A C)^2=\left[9+x^2\right]\)
Triangle ABC is also a right-angled triangle with right-angle at A. Therefore, Base of Triangle ABC = AC,
Height of Triangle ABC = AB = 5,
And, Hypotenuse of Triangle ABC = BC = (4 + x)
Using the Pythagoras Theorem, we get,
\(& {\left[(A C)^2+(A B)^2\right]=(B C)^2} \\\)
\(& \text { or, }(B C)^2=\left[(A C)^2+(A B)^2\right] \\\)
substitute the values in the above equation, we get
\(& \text { or, }(4+x)^2=\left[\left(9+x^2\right)+(5)^2\right] \\\)
simplifying the equation, we get
\(& \text { or, }\left[4^2+(2 \times 4 \times x)+x^2\right]=\left[9+x^2+25\right] \\\)
\(& \text { or, }\left[16+8 x+x^2\right]=\left[(9+25)+x^2\right] \\\)
\(& \text { or, }\left[16+8 x+x^2\right]=\left[34+x^2\right] \\\)
\(& \text { or, }\left[16+8 x+x^2\right]-\left[34+x^2\right]=0 \\\)
\(& \text { or, },(16-34)+8 x+\left(x^2-x^2\right)=0 \\\)
8x - 18 = 0
8x = 18
\(& \text { or, } x=\frac{18}{8} \\\)
\(& \text { or, } x=\frac{9 \times 2}{4 \times 2} \\\)
\(& \text { or, } x=\frac{9}{4} \\\)
Therefore, the value of x be 2.25.
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Derrick and Janis are planting
150 strawberry plants.
The first day, Derrick plants 20% of
the strawberry plants. Janis plants
60% of the strawberry plants.
Eliezer
How many strawberry plants do Derrick and Janis plant on the first day?
Choose one option from each drop-down menu to answer the question.
On the first day, Derrick plants Choose... strawberry plants.
Janis plants Choose... strawberry plants.
Together, they plant a total of Choose... strawberry plants.
X
Derrick and Janis together plant a total of 30 + 90 = 120 strawberry plants on the first day.
To find out how many strawberry plants Derrick and Janis planted on the first day, we need to calculate the sum of the plants they individually planted.
Derrick planted 20% of the 150 strawberry plants:
20% of 150 = (20/100) * 150 = 30 strawberry plants.
Janis planted 60% of the 150 strawberry plants:
60% of 150 = (60/100) * 150 = 90 strawberry plants.
Therefore, on the first day, Derrick and Janis planted a total of 30 + 90 = 120 strawberry plants.
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Some students mowed 12 lawns in 3 hours.
How many lawns can they mow in 18 hours?
4 lawns
36 lawns
72 lawns
216 lawns
Find x. Make sure to round to the correct number of decimal places.
Answer:
Step-by-step explanation: the x is in the right
< :
PLEASE HELP AND GIVE THE EXPLANATION SO I CAN LEARN!!! A spinner is divided into five uneven sections which are labeled red blue green yellow and orange Ricardo spun the spinner 120 times the results are shown on the table. Based on the data in the table what probability Ricardo will spin blue on his next spin?
Answer: 3/10
Step-by-step explanation: It's 3/10 because the total amount when you add all the numbers together is 120, and since he spins it 120 times, we could assume that 36 would be the amount of times that it would land on it based on the data given. We're not done yet though. You do 36/120 to get the probability, and you simplify it to get 3/10. Hope this helps!
Answer:
3/10
Step-by-step explanation:
It's 3/10 since the total was 120 all together, and from the data shown we know 36 was the amount that it landed on blue. You do 36/120 and you simplify to get 3/10. Welcome :)
There are four boys to every five girls in an introductory geology course. If there are 387 students enrolled in the course, how many are boys?
Answer: 172 boys.
Step-by-step explanation: The ratio of boys to girls is 4:5. We can say that the number of boys in the class is four multiplied by the common value that the ratio is based on. We can call this common value x and say that the number of boys in the class is 4x. Applying the same logic to the girls, we can say that there are 5x girls in the class. Thus, a total of 9x children. We divide the total value by 9 to get x, which equals 43. We can then retrieve the number of boys by calculating 4x, which equals 172.
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
Can i get help with this right now please someone.
Answer:
One tick mark to the left of -5 is where -6 would go. Another way to think of it, is to start at zero and count 6 tick marks to the left. That is where -6 would go.
You can start at zero and go 9 tick marks to the left and that would be -9. Another way to think about it, is to put -9 one tick mark to the right of -10
Step-by-step explanation:
Time went scuba diving and descended at a rate of 35 feet every 20 min. If Tim was diving from 11:00AM to 12:00PM. What was Tim's altitude at 11:40AM?
Answer:
70 feet
Step-by-step explanation:
35 x 2 = 70
transformation and functions can someone help with the answers for these
The answer of the given question based on the transformation and functions the answers are , (4) a=1 ,b=3 , (5) a=-1 , (b)= 0 , (6) a=-1 ,b=0.
What is Function?In mathematics, function is rule or relationship between two sets of numbers, often represented by formula or a graph, that assigns unique output value for each input value.
More formally, a function is set of ordered pairs (x, y), where each x in the set of inputs is associated with exactly one y in set of outputs. The set of all input values is called domain of the function, and set of all output values is called range of function.
(4) . For the function f(x) = √(x-3) + 4, the transformation can be seen as follows:
a = 1, indicating that there is no vertical stretch or the compression.
b = 3, indicating that the graph is shifted 3 units to the right.
The "+" sign in the function indicates that the graph is shifted upward by 4 units.
(5) . For the function f(x) = -x² + 8, the transformation can be seen as follows:
a = -1, indicating that the graph is reflected vertically.
b = 0, indicating that there is no horizontal shift.
The "+" sign in the function indicates that the graph is shifted upward by 8 units.
(6) . For the function f(x) = -x³ - 5, the transformation can be seen as follows:
a = -1, indicating that the graph is reflected vertically.
b = 0, indicating that there is no horizontal shift.
The "-" sign in the function indicates that the graph is shifted downward by 5 units.
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The side of the base of a square pyramid is increasing at a rate of 666 meters per minute and the height of the pyramid is decreasing at a rate of 111 meter per minute. At a certain instant, the base's side is 333 meters and the height is 999 meters. What is the rate of change of the volume of the pyramid at that instant (in cubic meters per minute)
Answer:
\(105m^3/min\)
Step-by-step explanation:
We are given that
Base side of square pyramid, a=3 m
Height of square pyramid, h=9m
\(\frac{da}{dt}=6m/min\)
\(\frac{dh}{dt}=-1/min\)
We have to find the rate of change of the volume of the pyramid at that instant.
Volume of square pyramid, V=\(\frac{1}{3}a^2h\)
Differentiate w.r.t t
\(\frac{dV}{dt}=\frac{1}{3}(2ah\frac{da}{dt}+a^2\frac{dh}{dt})\)
Substitute the values
\(\frac{dV}{dt}=\frac{1}{3}(2(3)(9)(6)+(3^2)(-1)\)
\(\frac{dV}{dt}=105m^3/min\)
Hence, the rate of change of the volume of the pyramid at that instant=\(105m^3/min\)
What is the area of this figure?
15 mm
4 mm
Submit
3 mm
3 mm
5 mm
5 mm
7 mm
8 mm
Write your answer using decimals, if necessary.
square millimeters
Question
An airplane is traveling at a constant speed of
600 miles per hour. How many feet does it
travel in 9 seconds? Remember that 1 mile is
5280 feet.
Do not include the units in your answer, and
do not use a comma in your answer
Provide your answer below:
Answer: 7920
Step-by-step explanation:
Convert 600mph to feet per hour.
600 x 5280 = 3168000 feet per hour
Convert feet per hour into seconds by dividing by 60 to get minutes and 60 again to get seconds.
3168000 / 60 / 60 = 880 Feet per second
Multiply by 9
880 x 9 = 7920 feet in 9 seconds
help me with this sum
Find a formula for the nth term
of the arithmetic sequence.
First term -2
Common difference 8
an = [? ]n + []
What is The geometric series 24_8+8/3_8/9+8/27_8/81 usn siga notaton
Answer:
17
Step-by-step explanation:
Use BODMAS Method
B - Brackets
O - Power
D - Division
M - Multiplication
A - Addition
S - Subtraction
24 - 8 + 8/3 - 8/9 + 8/27 - 8/81
First division
8/3 = 2.66666666667
8/9 = 0.88888888888
8/27 = 0.29629629629
8/81 = 0.09876543209
Then Subtract
24 - 8 = 15
2.66666666667 - 0.88888888888 = 1.77777777779
0.29629629629 - 0.09876543209 = 0.1975308642
Then lastly add
15 + 1.77777777779 + 0.1975308642 = 16.975308642
In these type of questions, the answer have decimals, so we have to round it to near whole number.
So nearest whole number is 17
Answer = 17
Hope you understand
:-)
The mean of the data set is 4. Find the absolute deviation of each of the red data values
The absolute deviation of 0 is
The absolute deviation of 3 is
The absolute deviation of 7 is
The absolute deviation of each of the data values are 4, 1 and 3 respectively.
Absolute deviationThe absolute deviatuon gives the distance of any given value in a dataset to the mean value. The absolute deviation is always positive as it does not consider the side to which the value belongs.
Absolute deviation = |value - mean|
Mean = 4
Absolute deviation of 0 = |0 - 4| = 4
Absolute deviation of 3 = |3 - 4| = 1
Absolute deviation of 7 = |7 - 4| = 3
Hence, The absolute deviation of each of the data values are 4, 1 and 3 respectively.
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1. Daniel rolls a 6-sided number cube 36 times. How many times should he expect to roll a 4?
A 9
B 4
C 6
D 10
Write the quadratic equation in standard form:
7x + 8 + 2x2
2x + 1 + x2
Answer:
\(3x^2 + 9x +9\)
Step-by-step explanation:
Given
\((7x + 8 + 2x^2) + (2x + 1 + x^2)\)
Required
The result in standard form
We have:
\((7x + 8 + 2x^2) + (2x + 1 + x^2)\)
Remove brackets
\(7x + 8 + 2x^2 + 2x + 1 + x^2\)
Collect like terms
\(7x+ 2x + 8 + 1 + 2x^2+ x^2\)
\(9x + 9+ 3x^2\)
The standard form of a quadratic equation is:
\(ax^2 + bx + c\)
So, we have:
\(9x + 9+ 3x^2\)
\(3x^2 + 9x +9\)