Answer:
Step-by-step explanation:
You need to complete the square.
C(x) = 0.02(x^2 - 1000x ...) + 11000
C(x) = 0.02 (x^2 - 1000x + 500^2) + 11000 - 5000
C(x) = 0.02 (x^2 - 1000x + 500^2) + 6000
C(x) = 0.02(x - 500)^2 + 6000
Now if you look at the answer you will find that the square is completed. That means that number of tractors you could produce is 500 at a cost of 6000
There is a flow to this question that you may have trouble understanding.
First of all the 500^2. That comes from taking 1/2 of 1000 and squaring it. That's what you need to complete the square.
Bur that is not what you have adding into the equation. Remember that there is a 0.02 in front of the brackets.
500^2 = 250000
0.02 * 250000 = 5000
So that number must be subtracted to make the square = 0. When you remove the brackets, you should get 11000 all in all.
So what you have outside the brackets is 11000 - 5000 = 6000
The rest is just standard for completing the square.
How ur wants to get a car loan with 4% simple interest rate. If the car costs $25,000, how much would Howie need to pay back at the end of one year, including the interest?
The amount Howie need to pay back at the end of one year, including the interest is $26,000
Given:
Interest rate = 4%
Cost of car = $25,000
Time = 1 year
Amount of interest = Principal × Rate × Time
= 25,000 × 4% × 1
= 25,000 × 0.04 × 1
= $1,000
Amount to be paid = Amount of interest + Cost of car
= 1,000 + 25,000
= $26,000
Therefore, the amount Howie need to pay back at the end of one year, including the interest is $26,000
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The amount that Howie would need to pay back at the end of one year, including the interest for a car loan of $25,000 is $26,000.
What is simple interest?Simple interest is a finance charge that does not compound. It is calculated on the principal portion of a loan only.
The formula for computing simple interest is Principal x APR x Number of years.
Data and Calculations:Car loan = $25,000
Simple interest rate = 4%
Period of loan = 1 year
Principal + Interest for 1 year = $26,000 ($25,000 x 4% x 1).
Thus, the amount that Howie would need to pay back at the end of one year, including the interest for a car loan of $25,000 is $26,000.
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A test has twenty questions worth 100 points. The test consists True/False questions worth 3 points each and multiple choice questions worth 11 points each. Howmany multiple choice questions are on the test?
Multiple choice questions = 5
True questions = 15
Given that:
Total number of questions = 20
Total worth of point = 100
Multiple choice questions (M) = 11 points each
True false questions (T) = 3 points each
Hence,
M + T= 20 ____(1)
11M + 3T = 100 ____(2)
M = 20 – T
Using the relation in (2)
11(20 – T) + 3T= 100
220 – 11T + 3T= 100
220 – 8T = 100
-8Tf = 100 – 220
-8T = – 120
T = 120/8
T = 15
Mc = 20 – 15
Mc = 5
Multiple choice questions = 5
True false questions = 15
PLz HELP ME NOW AND I WILL MARK U BRAINLIEST
Answer:
56
Step-by-step explanation:
cross multiply
0.06z - 0.36 = 3
0.06z = 3.36
z = 56
Suppose you are the 120th person in line at airport security. In 75 sec, 5 people are able to pass through security. Assuming this rate stays the same, how long (in minutes) will you be waiting in the security line? It takes 15 min to walk from security to the gate for your flight. If the flight stops boarding in 60 min, will you arrive at the gate in time?
Answer:
It takes 30 minutes to get to the front of the line, and 15 minutes to walk, so 45 minutes. 45 is less than 60, so you will make it.
Step-by-step explanation:
To calculate unit rate, 75/5 = 15/1 120*15=1800/60=30 minutes
(divide by 60 to convert to minutes)
4.
(03.02)
Match each statement (term) with its value in relation to 0 (definition). (10 points)
1.
Oliver owes his sister $27.
2.
A building is 38 feet tall.
3.
Erica jumped 2.7 feet above ground.
4.
The scuba diver was 38 feet below sea level.
5.
The basement is 8.3 feet below ground.
a.
38
b.
-38
c.
-8.3
d.
-27
e.
2.7
The statements with their relation to 0 are:
Oliver owes his sister $27. [tex]\to[/tex] -27 A building is 38 feet tall. [tex]\to[/tex] 27 Erica jumped 2.7 feet above ground. [tex]\to[/tex] 2.7 The scuba diver was 38 feet below sea level. [tex]\to[/tex] -38 The basement is 8.3 feet below ground. [tex]\to[/tex] -8.3Statements that represent positions above the sea level are illustrated using the positive sign, while positions below the sea level are represented using the negative sign.
The above highlights imply that the following statements would be represented with positive sign:
A building is 38 feet tall.Erica jumped 2.7 feet above ground.This is so, because height and positions above the ground are above the sea level
Also, the following statements would be represented with negative sign:
Oliver owes his sister $27. [tex]\to[/tex] -27 The scuba diver was 38 feet below sea level. [tex]\to[/tex] -38 The basement is 8.3 feet below ground. [tex]\to[/tex] -8.3This is so, because debt and positions below the ground are below the sea level
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Which is NOT true?
7 + 7 = 19 - 5
9 + 9 = 11 + 7
19 = 13 + 5
20 - 12 = 4 + 4
Answer:
c.19 = 13 + 5
Step-by-step explanation:
12 - 33/4 equal in fraction form?
Answer:
The answer is 3 3/4 I think
Step-by-step explanation:
A scale drawing for a backyard is shown below.
In the drawing, 1 cm represents 4 m.
Assuming the patio is rectangular, find the area of the real patio.
-6 cm
-3 cm-
Patio
2 cm
Lawn
2 cm
Answer:
The area of real patio is 50m².
Step-by-step explanation:
Given,
Length of patio = 3 cm
Width of patio = 6 cm
According to scale =
3 cm = 5m
1 cm = \frac{5}{3}\ m35 m
6 cm = \frac{5}{3}*6 = 10\ m35∗6=10 m
Real length of patio = 5 m
Real width of patio = 10 m
Area = Length*width
\begin{gathered}Area=5*10\\Area=50\ m^2\end{gathered}
Area=5∗10Area=50 m2
The area of real patio is 50m².
A grocery store sells a bag of 6 oranges for $4.38. What is the unit cost?
Answer:
$0.73
Step-by-step explanation:
Unit cost means per cost. Hence, divide 4.38 by 6 to find the cost of 1 orange.
4.38 ÷ 6
[tex]=\frac{4.38}{6}[/tex]
= 0.73
Therefore, the unit cost is 0.73 dollars.
which erosional force acts alone to produce avalanches and landslides?
Answer:
Freeze thaw cycle
Step-by-step explanation:
The force which produce avalanches and landslides is gravity.
What is erosion?The process by which the Earth's surface is worn down is called erosion. Erosion and weathering are two distinct but related processes. The decomposition of materials through chemical or physical processes is known as weathering. When weathered materials like soil and rock fragments are carried away by wind, water, or ice, erosion occurs.
The Earth's three substances—air, water, and ice—continue to flow in large quantities from one location to another, making erosion an essential component of human life. The energy in their flow is extremely high. All of the small and large substances in their path break and move in the flow's direction.
The most dramatic, unexpected, and hazardous examples of earth elements being pushed by gravity are landslides and avalanches. Avalanches are abrupt snowfalls, whereas landslides are sudden rockfalls.
Massive chunks of rock move swiftly and violently when they abruptly break free from a cliff or hillside. The falling rocks are kept from slowing down by air that is trapped beneath them. Avalanches and landslides can travel at speeds of 200 to 300 km/h.
Prevention's,
Be mindful of your surroundings and keep an eye out for changes in the environment.
When it rains heavily, keep an eye out for deck or patio tilting, cracks or bulges in slopes, and drooping posts or fences. As soil steadily presses against a house and shifts windows and doors out of place, sticking windows and doors can be an indication of earth movement.
Because landslides are more likely to occur where they have already happened, look for landslide scars.
Hence, Earth materials are transported by gravity from higher elevations to lower heights. Examples of hazardous gravity-driven erosion include mudflows, avalanches, and landslides.
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suppose You earn Birr 10,000.00 per month and pay 20% tax and spend 60% of it. Again the recipient of the money spent by you pays 20% tax and spends 60% of it. If this process continues without end, find the total amount that wil be paid for the tax
Answer:
Birr 5000
Step-by-step explanation:
You will pay 10,000×20% = 2000 in tax. Recipients of your spending will pay ...
0.60×10,000×20% = 1200
Recipients of the spending at the next level will pay a tax of ...
0.60×0.60×10,000×20% = 720
That is, the tax amounts have an initial value (a1) of 2000 and a common ratio (r) of 0.60. Their total is given by the formula ...
sum = a1/(1 -r)
sum = 2000/(1 -0.6) = 5000
Birr 5000 will be the total amount paid for tax in this process.
Which of the tables represents a function? (1 point)
Table A
Table B
Table C
Table D
Input Output Input Output Input Output Input Output
4 2
5 9
4 3
4 7
9 2
9 3
7 9
4 3
6 5
2 7
8 7
6 5
8 5
Answer
in think it's (C)
Step-by-step explanation:
please help ill mark brainliest
Answer:
it's 11
Step-by-step explanation:
Write each verbal expression as an algebraic expression.
The product of a number, b, and nine =
A number, x, raised to the fifth power =
Twelve divided by the product of number, y, and three =
Seven added to the difference of one and a number, k =
(y+3):(y+5)=k:1
show that y=(5k-3)/(1-k)
hence y=(5k-2)/(1-k)
hi,
Express the ratios in fractional form, that is
= ( cross- multiply )
y + 3 = k(y + 5) ← distribute
y + 3 = ky + 5k ( subtract ky from both sides )
y - ky + 3 = 5k ( subtract 3 from both sides )
y - ky = 5k - 3 ← factor out y from each term on the left side
y(1 - k) = 5k - 3 ← divide both sides by (1 - k)
y = 5k- 3
____
1 - k
WILL GIVE BRAINLYIEST Rita goes to the mall. If x is the number of items she bought, the expression 18.54x+23 gives the amount she spent in dollars at one store. Then she spent 25 dollars at another store. Find the expression which represents the amount Rita spent at the mall. Then estimate how much Rita spent if she bought 2 items.
I only know the first part (the expression which represents the amount Rita spent at the mall)
18.54x + 48
What is the gradient of the graph shown?
Give your answer in its simplest form.
Answer:
[tex]\displaystyle m = \frac{-1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Step-by-step explanation:
Step 1: Define
Identify points from given graph.
Point (0, -1)
Point (-3, 0)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{0 - -1}{-3 - 0}[/tex][Order of Operations] Evaluate: [tex]\displaystyle m = \frac{1}{-3}[/tex]An 80 ounce bottle of apple juice contains 32 ounces of water and 64 ounce bottle of orange juice has 48 ounces of water which juice has a greater percent of water?
Malia bought shell beads and glass beads to weave into designs in her baskets. She bought 1/4 pound of shell beads and 3/8 pound of glass beads. How many pounds of beads did she buy?
Answer: 5/8
Step-by-step explanation:
To do this you have to add the weight of each purchase
[tex]\frac{1}{4} +\frac{3}{8}[/tex]
But in order to add them together, there has to be a common denominator.
In order to do this, you can multiply both the numerator and denominator of 1/4 by 2 to get a denominator of 8 as seen below:
[tex]\frac{1}{4}*\frac{2}{2} = \frac{2}{8}[/tex]
Now you can add them to get your final answer: When you are adding fractions with common denominators, simply add the numerators together and keep the denominator.
[tex]\frac{2}{8}+\frac{3}{8} = \frac{5}{8}[/tex]
Pls answer correctly thnks
Solve the linear equation by elimination:
-5x+3y=10
2x+5y=-35
And explain
Thanks!
[tex]-5x+3y = 10~~~~ .....(i)\\\\2x+5y =-35~~~ ....(ii)\\\\\text{Multiply equation (ii) by}~ \dfrac 35~ \text{ and do (ii) -(i)}\\\\\\\dfrac 35(2x+5y) - (-5x+3y) = \dfrac 35}(-35) - 10\\\\\implies \dfrac{6x}5 +3y + 5x -3y = -21-10 = -31\\\\\implies \dfrac{6x + 25x}5 = -31\\\\\implies 31x = -31 \times 5\\\\\implies x = -5\\\\\text{Substitute }~x=-5~ \text{in equation (ii):}\\\\2(-5) +5y =-35\\\\\implies -10 +5y = -35\\\\\implies 5y = -35 +10 = -25\\\\\implies y = - \dfrac{25}5 = -5[/tex]
[tex]\text{Hence,}~ \textbf{(x,y) = (-5, -5)}[/tex]
What is the total holiday debt (no less than $500) that you are trying to pay off and what did you purchase
to accrue (accumulate) that debt?
Step-by-step explanation:
What is the total holiday debt (no less than $500) that you are trying to pay off and what did you purchase
to accrue (accumulate) that debt?
look at picture for problem
Help on this algebra 2 question!!!!!!
Answer:
C.
Ax + 1 = x A + 1
Bx + 2 = x B + 2
Cx + 3 = x C + 3
A = x C + 3
B = x C + 3
C = x C + 3
I'm not really sure about the answer but i hope it helps
PHOTO ATTACHED PLESE HELPPPP!!!!!!!!!!!!!!
Answer:
[tex]5x^2 + 3x - 2[/tex]
This answer is correct because I simplified using like terms.
Step-by-step explanation:
Subtracting Polynomials
They key to subtract, multiply, add, and divide polynomials is by using like terms. Like terms are values with the same bases. For example :
[tex]ax^2[/tex] and [tex]2ax^2[/tex] are like terms because they have the base [tex]ax[/tex]
Step 1: Move like terms together
First, let's remove all parenthesis:
[tex](3x^2 + 9x-6)-(2x^2-4x^2+6x-4)\\\\= 3x^2+9x-6-2x^2+4x^2-6x+4[/tex]
Now let's move all like terms together:
[tex]3x^2+9x-6-2x^2+4x^2-6x+4= \\3x^2-2x^2+4x^2+9x-6x-6+4[/tex]
Step 2: Simplify
Now we can add and subtract the like terms like we do in any other problem
[tex]3x^2-2x^2+4x^2+9x-6x-6+4 = \\5x^2+3x-2[/tex]
Step 3: Explaining your answer
Just say: "This answer is correct because I simplified using like terms"
-Chetan K
help wit this please
Answer:
1: Out: 5, 8, 11, 14
2: Out: 2, 7, 10, 11
3: Out: 11 Rule: Add 4
4: Out: 6 Rule: Add 4
Which equation is an example of the identity property of addition?
O A. 6.5 = 1
O B. 6+0= 6
O C. 6+(-6)=0
O D. 6.1= 6
HELPPP! ILL GIVE BRAINNLIST
Answer:
B.
Step-by-step explanation:
Adding 0 to 6 gives the same value (6).
Zero is called the Identity element of Addition,
Hello, can you help me? I don't speak English, I speak Spanish and I don't understand anything. I use a translator to communicate, I give brainliest !!
THE LENTH OF A RECTANGLE IS 6 CM AND ITS AREA IS (6XPLUS18) SQUARCM WRITE A EXPPRESIONFOR THE WIDTH
[tex]\textit{area of a rectangle}\\\\ A=Lw ~\begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ L=\stackrel{cm}{6}\\ A=\stackrel{cm^2}{6x+18} \end{cases}\implies 6x+18=6w \\\\\\ \cfrac{6x+18}{6}=w\implies \cfrac{6x}{6}+\cfrac{18}{6}=w\implies x+3=w[/tex]
[tex]-2cos^{2} x-6sinx-1=0[/tex]
Please help!!
Thank you!
Vertical intercept (0,--3 I solved it by graph and trust myanswer
like my answer and brainliest
The dot product of u ∙ u = 45 what is the length of u?
Answer:
67 hah why you solve this
[tex]\textbf{u} \cdot \textbf{u} = 45\\\\\implies |\textbf{u}|^2 =45\\\\\implies |\textbf{u}| = 3\sqrt{5}[/tex]