Answer:
Step-by-step explanation:
kevin deposits $1000 at 9% annual interest, compounded quarterly. how long will it take for the account to earn $1000 interest ?
Answer:
2 years and 13 days
Step-by-step explanation:
Kevin deposits $1000 at 9% annual interest, compounded quarterly. How long will it take the account to earn $1000 in interest? Round to the nearest year. 11+0)46 = 21 7.79 -t 2 years 13 MOVI2.
What is the total purchase price if you buy a chain saw for $539.95 and 2 safety chaps for $69.95 each, with a sales tax of 5%
Answer: \(\$ 713.84\)
Step-by-step explanation:
Given
The price of a chainsaw is \(\$539.95\)
The price of each safety chaps is \(\$69.95\)
Total price before sales tax
\(\Rightarrow C=539.95+2\times 69.95\\\Rightarrow C=\$ 679.85\)
with a tax of 5%, the total cost will be
\(\Rightarrow C_t=1.05C\\\Rightarrow C_t=1.05\times 679.85=\$ 713.84\)
Solve for x : 3(2x - 1) - (4-x) = 2(2x + 10 )
Answer:
6x-3-4+x=4x+20
7x-7=4x+20
7x-4x=20+7
3x=27
X=27/3
X=9
Answer:
(6×-3)-(-4+×)=4×+20
6×-3--4+×=4×+20
6×+1+×=4×+20
6×-4×=20-1
2×=19
devide by two both sides
×=9.5
prove that 1 - cosx / sinx = sinx / 1 + cosx
how?
Answer:
see explanation
Step-by-step explanation:
using the identity
cos²x = 1 - sin²x
consider the left side
\(\frac{1-cosx}{sinx}\)
multiply numerator/ denominator by (1 + cosx)
= \(\frac{(1-cosx)(1+cosx)}{sinx(1+cosx)}\) ← expand numerator
= \(\frac{1-cos^2x}{sinx(1+cosx)}\)
= \(\frac{sin^2x}{sinx(1+cosx)}\) ← cancel sinx on numerator/ denominator
= \(\frac{sinx}{1+cosx}\)
= right side , thus proven
The sum of a rational number and a rational number is rational.
A.Always True
B.Sometimes True
C.Never True
Answer:
A
It is always true that:
rational number + rational number = rational number.
The answer is option A.
Answer:
a
Step-by-step explanation:
100%
you play a game in which you must pick a real number x, between 0 and 924. at the same time, the number y is uniformly and randomly selected in the same range. if x is greater than y, then you have to pay the square of the difference between the two numbers. if y is greater than or equal to x, you pay double the difference.
Answer: about 2.2 times 8^8
Step-by-step explanation:
Pay the money x=y^2
ayo pls help asap!!!
Answer:
D. - 4
Step-by-step explanation:
Ms. Avila got blue ribbons to give to participants at the school science fair. She ordered 120
blue ribbons from the Smart Start school supplier. Since this was a bulk order, Smart Start
reduced the price of each blue ribbon by $0.75. The total came to $60.
Which equation can you use to find the amount of money, b, Smart Start normally charges
for a blue ribbon?
555
Step-by-step explanation:55
Gentiana is going to the movies to see Wakanda Forever. Her mom gave her $40 to spend. Gentiana uses $10 for her entrance fee, 25% on a slushie, 20 % on popcorn and the remaining on a pizza pie. How much money did the pizza pie cost?
Gentiana has $12 left to spend on the pizza pie as of the equation model.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
here,
Let the amount spend on pizza pie be x,
According to the question,
40 = 10 + 25% of 40 + 20% of 40 + x
40 = 10 + 40 × 0.25 + 40 × 0.20 + x
40 = 10 + 10 + 8 + x
x = 40 - 28
x = 12
Thus, Gentiana has $12 left to spend on the pizza pie as of the situation model.
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Which linear inequality is represented by the graph?
a. y > 2/3x - 1/5
b. y ≥ 3/2x + 1/5
c. y ≤ 2/3x + 1/5
d. y < 3/2x - 1/5
Answer:
c
Step-by-step explanation:
you know that since it's a solid line it has to be at least equal to then by that put it in a graphing calculator to find which direction the shades portion is (btw I'm not extra sure but I hope this helps)
A fish tank is a rectangular prism that is 30 inches long, 24 inches deep,and 18 inches high. How much water will it hold
Step-by-step explanation:
30 in X 24 in X 18 in = 12 960 in^3 volume of water it will hold
PLEASE HELP!!!! Carlos begins his workout by stretching. Then he spends an equal amount of time on each workout machine. The equation y = 8x + 10 represents the total time, in minutes, of Carlos' workout if he uses x workout machines.Explain what the slope and y-intercept of the equation represent in this situation.
A. Carlos spends 8 minutes stretching And 10 minutes on each workout machine
B. Carlos Spend 10 minutes stretching and eight minutes on each workout machine
C. Carlos Uses eight workout machines for 10 minutes each
D. Carlos spends 10 minutes on one machine and 8 minutes on another
Answer:
b
Step-by-step explanation:
because X= the amount of time hes on each machine. so 8 times x
Answer: B
Step-by-step explanation:A P E X
How do you find the surface area of a cube
The formula is : A=6a^2
So lets say its a cube with edge lengths of 4
We first find out the area of each side by multiplying 4*4
They you multiple the answer of that, 16, by 6, for each of the sides.
A = 96 Units ^2
Consider an economy with a particular distribution of income. Over the next 10 years, the income of all households increases by $20,000. How will the Gini coefficient change over those 10 years?
a. The Gini coefficient will increase.
b. The Gini coefficient will decrease.
c. The Gini coefficient will stay the same as all households received the same increase in income.
d. It is impossible to determine how the Gini coefficient will change as it will depend on the original income distribution.
d. It is impossible to determine how the Gini coefficient will change as it will depend on the original income distribution.
The Gini coefficient is a measure of income inequality in a society. It takes into account the entire income distribution, not just the average or total increase in income. The change in the Gini coefficient depends on how the income increase is distributed among different income groups.
If the income increase is distributed equally among all households, then the Gini coefficient would stay the same because the relative income differences between households remain unchanged. However, if the income increase is concentrated among higher-income households, it is likely that the Gini coefficient would increase, indicating a higher level of income inequality.
On the other hand, if the income increase is disproportionately distributed to lower-income households, it is possible for the Gini coefficient to decrease, indicating a reduction in income inequality.
Therefore, without knowing the initial income distribution and how the income increase is distributed across households, it is impossible to determine how the Gini coefficient will change over the 10-year period.
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Between what two whole numbers is 5/6 located on the number line? help please!
Answer:
Hello there!
5/6 is located between 0 and 1.
Step-by-step explanation:
5/6 is less than 1, because 1 = 6/6 in this scenario.
At the same time, it's greater than 0!
5/6 is located between 0 and 1 on the number line!
Sally is paid to walk her neighbor’s dog every day.Every month she is paid she puts away $20 and saves the rest.Write an expression that represents the amount she will save in 6 months if she earns m dollars each month.If she’s paid $65 each month how much will she save in 6 months?
Answer: she would have saved 120$$
Step-by-step explanation:
Drag the factors to the correct locations on the image.
Each factor can be used more than once, but not all factors will be used. What is the factored form of this expression? x3 - 6x2 - 9x + 54
Tiles go here
( )( )( )
Tile options:
x - 6
x - 9
x + 9
x - 3
x + 3
x + 6
Answer: x-6, x+3, x-3
Step-by-step explanation;
Split the equation into two.
x2(x-6)-9(x-6)
(x-6) is seen as one of the tiles. Now work on x2-9
x2-9 is a difference of squares meaning the last two are (x+3) and (x-3).
Determine whether the lines L1 and L2 are
parallel, skew, or intersecting.
L1: x=2-12t, y=9+9t, z=6-6t
L2: x=9+8s, y=-6s, z=6+4s
If they intersect, find the point of intersection.
L1 and L2 are intersecting lines is (0.8462, 0.4359).
When two lines intersect each other, it means that they have a common point. This point is known as the point of intersection.
In the given, we are given two lines, L1 and L2. We need to determine whether these lines intersect each other or not.
We can do this by comparing the slopes of the two lines. If the slopes are equal, then the lines are parallel and do not intersect each other. If the slopes are not equal, then the lines intersect each other.
Let's find the slopes of the given lines: Equation of line L1: 2x + 3y = 4We can rewrite this equation in slope-intercept form, y = mx + b, by solving for y:3y = -2x + 4y = (-2/3)x + 4/3The slope of line L1 is -2/3.
Equation of line L2: 4x - 5y = 3We can rewrite this equation in slope-intercept form, y = mx + b, by solving for y:-5y = -4x + 3y = (4/5)x - 3/5The slope of line L2 is 4/5.
Since the slopes of the two lines are not equal, we can conclude that the lines intersect each other. Now we need to find the point of intersection.
To find the point of intersection, we can solve the two equations of the lines simultaneously.2x + 3y = 4 ------------(1)4x - 5y = 3 ------------(2)Multiplying equation (1) by 4 and equation (2) by 3, we get:8x + 12y = 16 ------------(3)12x - 15y = 9 ------------(4)Multiplying equation (4) by 8, we get:96x - 120y = 72 ------------(5)Adding equations (3) and (5), we get: 104x = 88 Dividing by 104,
we get x = 0.8462 Substituting this value of x in equation (1), we get:2(0.8462) + 3y = 4Simplifying, we get: y = 0.4359 Therefore, the point of intersection of lines L1 and L2 is (0.8462, 0.4359).
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what is the answer?
x+y=15
-2x+5y=-2
Nolan and his children went into a grocery store and he bought $9 worth of apples and bananas. Each apple costs $0.75 and each banana costs $0.50. He bought 2 more apples than bananas. By following the steps below, determine the number of apples, x, and the number of bananas, y, that Nolan bought.
Determine three ways to have 2 more apples than bananas:
Nolan and his children went into a grocery store and he bought $9 worth of apples and bananas, The three ways are explained below
What are equations?Generally, One way to determine the number of apples, x, and the number of bananas, y, that Nolan bought is to use the equation:
x + y = a (total number of apples and bananas)
0.75x + 0.5y = 9 (total cost of apples and bananas)
Another way is to use the equation:
x = y + 2 (number of apples is 2 more than the number of bananas) 0.75x + 0.5y = 9 (total cost of apples and bananas)
A third way is to use the equation
y = x - 2 (number of bananas is 2 less than the number of apples)
0.75x + 0.5(x-2) = 9 (total cost of apples and bananas)
You can then solve for x and y using either of the above equations.
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What is -2 1/6 -(-1 3/4)
Answer:
-5/12
Step-by-step explanation:
2 1/6 -(-1 3/4) =
-13/6 - (-7/4) =
-5/12
-5/12
Step-by-step explanation:
Step 1: Eliminating a negative and changing our operation
−2 1/6 + 1 3/4
Step 2: Rewriting our equation with parts separated
-2 − 1/6 + 1 + 3/4
Step 3: Solving the whole number parts
−2 + 1 = −1
Step 4: Solving the fraction parts
−1/6 + 3/4 = ?
Step 5: Find the LCD of 1/6 and 3/4 and rewrite to solve with the equivalent fractions.
LCD = 12
−2/12 + 9/12 = 7/12
Step 6: Combining the whole and fraction parts
−1 + 7/12 = −5/12
at a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 20 cubic feet per minute. the diameter of the base of the cone is approximately three times the altitude. at what rate (in ft/min) is the height of the pile changing when the pile is 22 feet high? (hint: the formula for the volume of a cone is v
When the pile is 22 feet high, the height of the pile changes to 20/1089π.
Given (dV)/(dt) = 20, h = 22 feet , dh /dt =?
The volume of cone is V = 1/3 * pi * r ^ 2 * h
d=3h
2r = 3h
r = (3h)/2
V = 1/3 * pi * r ^ 2 * h
= 1/3 * pi * ((3h)/2) ^ 2 * h
= 1/3 * pi((9 * H ^ 2 )/4) * h
= (9pi)/12 * h ^ 3
Differentiate w.r.to t
(dV)/(dt) = (3pi)/4 * (3h * h^ 2) * (dh)/(dt)
(dV)/(dt) = (9pi)/4 * (h ^ 2) * (dh)/(dt)
(dV)/(dt)=20, h=22 feet
20 = (9pi)/4 * (22 ^ 2) * (dh)/(dt)
(dh)/(dt) = 80/ (9pi * (22^ 2))
h^ t = 20/ 1089 *pi ft / min
Therefore, The height of the pile changing when the pile is 22 feet high is 20/1089π
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Complete the solution set for this Inequality Use one of the symbols and one of the numbers from the choice below
-3x <15
X ____ _____
Choices
<, > , (Underlined < and >) 5, -5 , 45,-45
Answer:
Its 5
Step-by-step explanation:
-3 * 5 = -15 , i.e smaller than 15.
Dave has $15 to spend on an $8 book and two
birthday cards (c) for his friends. How much can
he spend on each card if he buys the same card
for each friend?
Answer:
yesjndndkkwkdkdndkiskdn
Answer:
3.50 on each cuz 15-8=7 and 7÷2= 3.5 or 3.50
Charlie is flying a kite one afternoon and steps on the end of the string to have his
hands free to take a picture. The string is 135 feet long and forms a 68-degree angle
with the ground. How high is his kite at this time? Round to the nearest foot and
enter the number only.
I need the answer quick please!
Answer:
125.1698 Ft
Step-by-step explanation:
1. Applicants to our graduate program have GRE Quantitative Reasoning scores that can be modelled by a Normal random variable with a mean of 155 and a standard deviation of 12. a. What is the probabil
The probability of getting GRE Quantitative Reasoning scores greater than 170 is 0.8944.
Normal random variable with a mean of 155. The given GRE Quantitative Reasoning scores can be modeled as a Normal random variable. The mean of the given Normal distribution is 155 and its standard deviation is 12. GRE Quantitative Reasoning scores for some different parts as given below. Part a: Probability of getting GRE Quantitative Reasoning scores greater than 170 Z =
(X - μ) / σZ
= (170 - 155) / 12
Z = 1.25
Probability of getting GRE Quantitative Reasoning scores greater than 170 is 0.8944.
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important: do not click score lab until after you have attempted all tasks. once you click score lab, you will advance to the next lab question and will not be able to restart this lab. this applies to all subsequent labs in this exam. complete the following tasks: connect the components for an internet connection. add the cable modem to the workspace. use an rg-6 coaxial cable to connect the modem to the wan connection on the wall plate. connect the computer to the cable modem. connect the modem to the power outlet. verify the internet connection using the network
The steps to connect the components for an internet connection are as follows:
Step 1: Add the cable modem to the workspace. Modems are small boxes that are responsible for converting digital signals to analog signals and vice versa. Modems are necessary for accessing the internet. Therefore, it is important to add the cable modem to the workspace first.
Step 2: Use an RG-6 coaxial cable to connect the modem to the WAN connection on the wall plate.A WAN (Wide Area Network) connection is a type of internet connection that is typically used for larger networks. In order to connect a cable modem to the internet using a WAN connection, an RG-6 coaxial cable is needed.
Step 3: Connect the computer to the cable modem.In order to access the internet, the computer must be connected to the cable modem. This can be done using an Ethernet cable.
Step 4: Connect the modem to the power outlet.Modems require power in order to function. Therefore, it is necessary to connect the modem to a power outlet.
Step 5: Verify the internet connection using the network. After completing the above steps, the internet connection can be verified by opening a web browser and attempting to access a webpage. If the webpage loads successfully, the internet connection has been successfully established.Important: It is important to not click Score Lab until after all tasks have been attempted. Once Score Lab is clicked, the user will advance to the next lab question and will not be able to restart this lab. This applies to all subsequent labs in this exam.
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True or False: (-20, 19) is a solution to the following system of inequalities:
y<-x-1
g ≥ 0.5 – 7
Answer choice A: True
Answer choice B: false
(-20, 19) is a solution to the following system of inequalities: y<-x-1, g ≥ 0.5 – 7 is false.
What is inequalities?
The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities1, is at the core of social justice theories. However, because it frequently has diverse meanings to different individuals, it is prone to misunderstanding in public discourse. However, certain differences are shared. In mathematics, a relationship between two expressions or values that are not equal to each other is called 'inequality.
y<-x-1
Move x to the left side
y+x<-1
Move y to the right sid
x<-1-y
\(g \geq 0.5-7\)
Subtract the numbers: 0.5-7=-6.5
\(g \geq-6.5\)
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Complete the proof.
Given: RS tangent to circle A and circle B at points R and S.
Prove: AR || BS
In the given proof shown below, the idea of tangents and perpendicularity is used to set up a relationship between two lines, AR and BS.
What is tangent the circle?The tangent is a term that is used to tell more or described as the point of contact between a circle or an ellipse and a single line.
Based on the fact that the tangent line is perpendicular to radius of the circle.
Hence, AR ⊥ RS and BS ⊥ RS
Therefore, AR and BS ⊥ similar to line RS.
So, the line AR or BS are said to be either in same line or parallel. because , they are the radius of different circles.
Therefore, AR ║BS.
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select and arrange the conversion factors needed to convert 312.5 μci to millicuries (mci). then, perform the calculation.
312.5 μCi is equivalent to 0.3125 mCi.
Conversion factors refer to a relationship between the value in one unit to the value in another unit. It is used to convert a quantity expressed in one unit to another unit.
The following conversion factors are needed to convert 312.5 μCi to millicuries (mCi):1 mCi = 1000 μCiUsing the above conversion factor, we can write the given value of 312.5 μCi as:312.5 μCi = (312.5/1000) mCi= 0.3125 mCi
Therefore, the value of 312.5 μCi can be converted to millicuries (mCi) using the above conversion factor. We can rearrange the formula as shown below.312.5 μCi × 1 mCi / 1000 μCi= (312.5/1000) mCi= 0.3125 mCi
Therefore, 312.5 μCi is equivalent to 0.3125 mCi. The calculation can be summarized in a sentence as follows: To convert 312.5 μCi to millicuries (mCi), we use the conversion factor 1 mCi = 1000 μCi.
The calculation shows that 312.5 μCi is equivalent to 0.3125 mCi. The answer can be expressed as follows: 312.5 μCi = 0.3125 mCi.
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