Answer:
Step-by-step explanation:
[tex]y=\frac{1}{2} x-7[/tex]
Answer:
y = 1/2x - 7
Step-by-step explanation:
The slope equation is: y = mx + b
m being the slope
b being the y-intercept
The problem says that the slope is 1/2, and says that it intersects negative y-axis, therefore the y-intercept is negative, so -7
Suppose that $4000 is placed in a savings account at an annual rate of 6.4%, compounded quarterly. Assuming that no withdrawals are made, how long will it
take for the account to grow to $4916?
Do not round any intermediate computations, and round your answer to the nearest hundredth.
Answer:
3.25 years (nearest hundredth)
Step-by-step explanation:
Compound Interest Formula
[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
A = $4916P = $4000r = 6.4% = 0.064n = 4 (quarterly)Substitute the given values into the formula and solve for t:
[tex]\implies \sf 4916=4000\left(1+\frac{0.064}{4}\right)^{4t}[/tex]
[tex]\implies \sf 4916=4000\left(1.016\right)^{4t}[/tex]
[tex]\implies \sf \dfrac{4916}{4000}=\left(1.016\right)^{4t}[/tex]
[tex]\implies \sf \dfrac{1229}{1000}=\left(1.016\right)^{4t}[/tex]
[tex]\implies \sf \ln \left(\dfrac{1229}{1000}\right)=\ln \left(1.016\right)^{4t}[/tex]
[tex]\implies \sf \ln \left(\dfrac{1229}{1000}\right)=4t \ln \left(1.016\right)[/tex]
[tex]\implies \sf t=\dfrac{\ln \left(\frac{1229}{1000}\right)}{4\ln \left(1.016\right)}[/tex]
[tex]\implies \sf t=3.247594892...[/tex]
Therefore, it will take 3.25 years (nearest hundredth) for the account to grow to $4916.
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Can i get a solution for this?
the effects of the given transactions on the accounting equation are:
increase in assets and increase in equity.increase in assets and increase in liabilities.no change increase in assets and increase in equity.decrease in assets and decrease in liabilities. decrease in assets and decrease in equity. decrease in assets and decrease in equity. decrease in assets and decrease in equity. no change increase in assets and increase in liabilities. how is the accounting equation affected?an investment would increase assets (cash) and also increase equity. every expense such as salaries would decrease assets and equity.
incurring debt would increase assets and liabilties while paying off debt would decrease both asset (cash) and liabilities.
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PLS help!!! MARKING BRAINLIST IF ANSWER IS CORRECT( explanation required) What number should be placed in the box to help complete the division calculation?
.
For a certain company, the cost for producing x items is 60x+300 and the revenue for selling x items is 100x−0.5x2 .
The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumes that a company wants to maximize its profit, or at least wants to make a profit!
Part a: Set up an expression for the profit from producing and selling x items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratic polynomial.)
Part b: Find two values of x that will create a profit of $50 .
The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2;4;6 or x+1;x−1 ). The order of the list does not matter. To enter a−−√ , type sqrt(a).
The equation for the profit from selling the items is P = 40x-0.5x²-300. The values of x are 10 and 70.
How to solve for the expressionWe have the cost function in this question to be
Cx = 60x+300
Revenue = 100x−0.5x²
A. The revenue function is stated as the revenue - cost
= (100x−0.5x²)-60x+300
We have to open the equation
40x-0.5x²-300
B. when profit is 50 dollars
50 = 40x-0.5x²-300
We have to multiply both sides by 10
500 = 400x - 5x² - 3000
We have to collect like terms and form a quadratic equation
5x² - 400x - 3500 = 0
We have to solve the quadratic equation above using a quadratic calculator.
Hence
x = 10, 70
So the two values that would create a profit of 50 dollars is 10 and 70.
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Which of the expressions below cannot be rewritten using the associative
property?
.
OA. 15 (410)
OB. (5+14) + 10
OC. 12 (17 ÷ 2)
OD. (12.9) •10
SUBMIT
Answer:
OA
Step-by-step explanation:
Help please quueens i need help
Answer:
x = 3
Step-by-step explanation:
We can use the following equation to solve for x:
[tex]315=9x-27+8x+24+5x-17+2x+23\\315=(9x+8x+5x+2x)+(-27+24-17+23)\\315=24x+3\\312=24x\\13=x[/tex]
Evaluate the following.
Step-by-step explanation:
1) 3 + 4 = 7
2) 6 - 6 = 0
3) 1 + 3 = 4
4) 6 + 9 = 15
5) 10 - 14 + 2 = -2
6) 2 + 3 - 5 = 0
DEF and RST are complementary angles. If DEF is (3(-5 + 2x)) and RST is (x - 7), what is the measure of DEF?
From the given information, the measure of DEF is 81°
Calculating the measure of anglesFrom the question, we are to determine the measure of DEF
From the given information,
DEF and RST are complementary angles. This means they sum up to 90°
Thus,
(3(-5 + 2x)) + (x - 7) = 90
(3(-5 + 2x)) + (x - 7) = 90
(-15 + 6x) + (x - 7 ) = 90
-15 + 6x + x - 7 = 90
6x + x = 90 + 15 + 7
7x = 112
x = 112/7
x = 16
Then, substitute the value of x to determine the measure of DEF
(3(-5 + 2x))
= (3(-5 + 2(16)))
= (3(-5 + 32))
= (3(27))
= 81°
Hence, the measure of DEF is 81°
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Whats the correct answer answer asap for brainlist
Select all of the equations that represent linear relationships. 5 + 2y = 13 y = 7 y – 5 = 2(x – 1) = x + 7 x = –4
The equations that represent linear relationship is y – 5 = 2(x – 1)
What are linear functionsLinear functions are functions that has a leading degree of 1. According to the question, we need to determine the function that represents linear equation.
The required equation must have a degree of 1 and must contain both dependent and independent variables.
The equations that represent linear relationship is y – 5 = 2(x – 1)
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Answer:
The anser is:
A
C
D
E
Step-by-step explanation:
I hope this helps, have a blessed day :)
Write "six times x minus 3" as an expression.
Answer:
6x-18
Step-by-step explanation:
6*(x-3)
multiply 6 with x and 3
Giving brainliest :)
The system of equation that will represent her purchase is as follows:
1.39b + 2.49m = 50.73
1.29b + 2.69m = 51.63
How to represent system of equation?At store A she will pay a total sum of $50.73 for bread and milk.
At store B she will pay a total sum of $51.63 for bread and milk.
Therefore, the system of equation that will represent her purchase is as follows:
where
b = number of bread
m = number of milk
Therefore,
1.39b + 2.49m = 50.73
1.29b + 2.69m = 51.63
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2011?
7. Maria, a sales representative for a large consumer goods company, is paid 3% of the total profits earned by her company.
Her company averages 10% profit on sales. If Maria's total income for the year was $60,000, what total sales did her
company realize?
Step-by-step explanation:
60000÷ 10 = 600 and 600 ÷ 3 =20
The total sales realized by the company was $20,000,000.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Let x be the total sales realized by the company.
Maria's pay is 3% of the total profits, which is 3% of 10% of total sales
0.03(0.1x) = 0.003x.
Her total income is given as $60,000, so we have:
0.003x = 60000
Solving for x:
x = 60000/0.003 = 20,000,000
Therefore, the total sales realized by the company was $20,000,000.
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x is increased by 50% and decreased by 30%. What is the result?
Answer:
its the same as increasing x by 5 percent
Answer:
1.05x is the answer
Step-by-step explanation:
You enter a room. 2 dogs, 4 horses, 1 giraffe, and a duck are lying on the bed. 3 chickens are flying over a chair.
How many legs are on the ground?
Answer:
36
Step-by-step explanation:
I think it’s a trick question because “legs” can also mean like chair legs that hold it up. Therefore:
2 dogs = 8 legs
4 horses = 16 legs
1 giraffe = 4 legs
And a bed: 4 legs(things that hold it up)
And a chair: 4 legs (things that hold it up)
This is assuming that the bed is a normal bed with stools holding it up
And the chair has 4 piles aswell as no missing legs in the animals… lol
x+6y=28, solve for y
Answer:
[tex]y = -\frac{x}{6} + \frac{14}{3}[/tex]
Step-by-step explanation:
So when you're solving for y you want to get y by it self meaning there should be nothing with y, including any coefficients. The first step is to usually move any terms to the other side and then divide by the coefficient of y so y "technically doesn't" have a coefficient, while it does, but that coefficient 1, so it doesn't really mean much.
Subtract x from both sides
[tex]6y = -x+28[/tex]
Divide both sides by 6
[tex]y = -\frac{x}{6} + \frac{14}{3}[/tex]
The given equation solved for y as y = (28 - x)/6.
The given equation is x+6y=28.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation can be solved for y as follows
Here, x+6y=28
⇒ 6y = 28 - x
⇒ y = (28 - x)/6
Therefore, the given equation solved for y as y = (28 - x)/6.
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A garden table and a bench cost $700 combined. The garden table costs $50 less than the bench. What is the cost of the bench?
Cost of bench = x
Cost of garden table = x - 50
x - 50 + x = 700
2x - 50 = 700
2x = 750
x = 325
Solve for x. Enter the solutions from least to greatest.
Round to two decimal places.
(x + 8)^2 - 7 = 0
asap will give brainliest
The value of x according to the equation in the task content is; -5.35 or -10.65.
What is the value of x in the equation?The equation given in the task content is; (x + 8)² -7 = 0.
Hence, the equation can be solved as follows;
(x + 8)² - 7 = 0
x² + 16x +64 -7 = 0
x²+ 16x +57 = 0
By solving by means of the quadratic formula, we have;
x = -5.35
x = -10.65
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Find the surface of the cube with length of a side
Answer: 319.74 square mm
Step-by-step explanation:
[tex]6(7.3)^2=319.74[/tex]
8 sin x cos3 x + 8 sin3 x cos x = ?
Answer:
Step-by-step explanation:
We use the known identity:
sin (A + B) sin A cos B + cos A sin B.
8 sin x cos 3x + 8 sin 3x cos x
= 8 (sin x cos 3x + sin 3x cos x)
= 8sin (x + 3x)
= 8 sin 4x
Identity :
sin (A + B) sin A cos B + cos A sin B
= 8 sin x cos 3x + 8 sin 3x cos x
= 8 (sin x cos 3x + sin 3x cos x)
= 8sin (x + 3x)
= 8 sin 4x
I need some help please
Write an equation of the line that passes through a pair of points:
(2, 3), (4, negative 2)
a.
y = Negative five-halvesx – StartFraction 1 Over 8 EndFraction
c.
y = Negative five-halvesx + 8
b.
y = Negative five-halvesx – 8
d.
y = Five-halvesx + 8
The equation of line that passes through a pair of points: (2, 3), (4, -2).is option B. y = -5/2 x + 8.
What is the equation of a line passing through two given points in 2 dimensional plane?Suppose the given points are (x_1, y_1) and (x_2, y_2),
then the equation of the straight line joining both two points is given by
[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]
We need to find the equation of the line that passes through a pair of points: (2, 3), (4, -2).
So, the equation would be
[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]
[tex](y - 3) = \dfrac{-2 - 3}{4- 2} (x -2)\\\\\\(y - 3) = \dfrac{-5}{2} (x -2)\\\\\\2(y - 3) = -5 (x -2)\\\\2y - 6 = -5x + 10\\\\2y = -5x + 16\\\\y = -5/2 x + 8[/tex]
Hence, the equation of line is option B. y = -5/2 x + 8.
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Answer:B
Step-by-step explanation:
What is the domain of the function f(x) = √(x+3)²?
Answer: Option 1
Step-by-step explanation:
The domain is the set of x values that make the radicand non-negative. Since the radicand is a perfect square, it will always be non-negative for any real value of x.
You are playing an online game with your friend and they are on level 4. You are on level 6 and can beat, on average, 4 levels per hour. If your friend can beat 5 levels per hour, how many hours will it take for you and your friend to be on the same level? Think about how you would solve this question. Write at least two sentences about how you would attempt this problem. You can think about a new method of solving or use methods that you already have learned.
It would take 2 hours for me at level 6 to be on the same level with my friend which is initially at level 5.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let t represent the time it would take to be on the same level with your friends. I am at level 6 and my friend is on level 4, hence:
5t = 4t + 2
t = 2 hours
It would take 2 hours for me at level 6 to be on the same level with my friend which is initially at level 5.
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Barbara worked on a straight 7% commission. Her friend worked on a salary of $600 plus a 5% commission. In a particular month, they both sold $21,600 worth of merchandise.
Step 1 of 2 : How much did Barbara earn for this month? Follow the problem-solving process and round your answer to the nearest cent, if necessary.
The amount Barbara earned this month is $1512.
How much did Barbara earn?
Percentage can be described as a fraction of an amount expressed as a number out of hundred.
Barbara's earnings = percentage commission x worth of goods sold
7% x 21,600
0.07 x 21,600 = $1512
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a rectangular fish tank is 50 cm long, 40 cm wide, and 30 cm high.
a) how many cubic centimeters of water will the tank hold?
b) how many milliliters of water will the tank hold?
c) how many liters of water will the tank hold?
Answer:
a) 60,000 cubic cm; b) 60,000 mL; c) 60 L
Step-by-step explanation:
a) V = l x w x h
V = 50 cm x 40 cm x 30 cm = 60,000 cubic cm
b) 1 cubic cm = 1 mL, therefore 60,000 cubic cm = 60,000 mL
c) 1000 mL = 1 L; 60,000 mL = 60 L
Which of the following best represents the altitude, h, of the triangle shown? (5 pts.) A. tan 75° B. 11.5 sin 75° C. D. 23 cos 75° 23 sin 75° M21 R 23* 759
The height of a triangle with a hypotenuse of 23 and angle between base and hypotenuse of 75° is h= 23sin(75)
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Trigonometric ratio shows the relationship between the sides and angles of a right angle triangle.
Let us assume that the right triangle has a altitude h, hypotenuse of 23 and angle between base and hypotenuse is 75°, hence:
sin(75) = h/23
h= 23sin(75)
The height of a triangle with a hypotenuse of 23 and angle between base and hypotenuse of 75° is h= 23sin(75)
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5 pts Which side would create a right triangle if the first two sides have lengths 7 and 123 5 pts Which side would create a right triangle if the first two sides have lengths 7 and sq rt 123
Answer:
sqrt(172) = hypotenuse
Step-by-step explanation:
IF those are the leg lengths (sides) and not the hypotenuse, then use Pythagorean theorem
c^2 = 7^2 + sqrt (123) ^2
c = sqrt (172)
If sqrt 172 is the hypotenuse :
(sqrt123)^2 = 7^2 + x^2
then x = sqrt (74 )
A rectangle with base b and height h has an area of 235 square-inches. Express the perimeter of the rectangle as a function of its base
The perimeter of the rectangle as a function of its base is P = 2(b + 235/b)
What are perimeters?The perimeter of a shape is the sum of the side lengths of the shape For all regular quadrilaterals, you add up the side lengths to determine the area
How to express the perimeter of the rectangle as a function of its base?The given parameters are
Area = 235 sqare inches
The area of a rectangle is calculated using
Area = Base * Height
Note that the area of a shape is the amount of space on the shape
Recall that the area of a rectangle is calculated using
Area = Base * Height
Rewrite the above equation as
A = bh
So, we have
bh = 235
Make h the subject of the formula
h = 235/b
The perimeter of the rectangle is
P = 2(b + h)
So, we have
P = 2(b + 235/b)
Hence, the perimeter of the rectangle as a function of its base is P = 2(b + 235/b)
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Your best friend is really struggling with their math class. You passed the same class last term with an A, so you’ve been helping them do practice problems and double-checking their homework. The professor has given them a take-home exam for their mid-term, and they want your help completing the exam. Is this an academic integrity violation? Why or why not? How would you handle this situation, and why would you handle it in that way?
Answer:
no
Step-by-step explanation:
you have done your part by helping in their study session,if you help them cheat you will suffer the consequences if he/she is caught,
This is an academic integrity violation because it is against honesty rules, the best would be to offer assistance to your friend.
Is this an academic integrity violation?Academic integrity encompasses principles of honesty, fairness, and trustworthiness in academic pursuits. It generally includes a commitment to originality and independent work. Assisting someone in completing an exam, especially a take-home exam, where individual effort and understanding are expected, would likely violate academic integrity policies.
Handling this situationHandling the situation ethically and responsibly would involve respecting the academic rules and ensuring fairness for all students. Instead of directly completing the exam for your friend, you can offer assistance by explaining concepts, providing guidance on problem-solving approaches, or reviewing their completed work to identify errors or areas for improvement. This way, you can help your friend learn the material and develop their own understanding, without compromising academic integrity.
Encourage your friend to seek additional help from their professor, teaching assistants, or tutoring services provided by the institution. They can also engage in group study sessions or form study groups with classmates, which promote collaborative learning while maintaining individual effort.
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