From the analysis of the above math, the amount she invested in the CD account is 5,000. See the analysis below.
What is the analysis showing the above answer?Let A be the amount invested in the CD.
Let B be the amount invested in the savings bond.
A + B = 15, 000
.04A + .07B = 900
Multiply the first equation by -.04 and add it to the second equation to get rid of the A term.
-.04A-.04B = -600 add this equation to the second equation.
.03B = 300 multiplying by 100. 3B = 30,000
dividing by 3 on both sides: B = 10,000. So A = 5,000
So she invested 5,000 in the CD account
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2x - 1 = 3x + 8
i ended up getting -7 but i know it’s wrong i just don’t know what i did wrong
Answer:
2x-1=3×+8
Step-by-step explanation:
2×-3x=8+1
-x=9
x=-9
Miesha is saving the same amount of money each week. After 2 weeks she saves 85$. After 4 weeks she saves 135. Which equation models the amount of money Miesha will have saved, y after x weeks?
Answer:
work is shown and pictured
Need help on this question ASAP please
The equations ordered from the least to greatest is
y = (-3/4)x + 2
y - 3 = 1/2(x - 4)
3x - 4y = 7
y = 12(x - 19) + 5
Order of equationsFrom the question, we are to order the equations from least to greatest by the value of the slope
The given equations are
y = (-3/4)x + 2
3x - 4y = 7
y = 12(x - 19) + 5
y - 3 = 1/2(x - 4)
To determine the slopes of the line, we will compare the equations to the general form of the equation of a line
The general form of the equation of a line is
y = mx + b
Where m is the slope
and b is the y-intercept
y = (-3/4)x + 2By comparison,
m = -3/4
∴ Slope = -3/4
3x - 4y = 7First, rearrange
3x - 7 = 4y
4y = 3x - 7
y = (3/4)x - 7/4
By comparison,
m = 3/4
∴ Slope = 3/4
y = 12(x - 19) + 5First, simplify
y = 12x - 228 + 5
y = 12x - 223
By comparison,
m = 12
∴ Slope = 12
y - 3 = 1/2(x - 4)
First, simplify
y - 3= (1/2)x - 2
y = (1/2)x -2 + 3
y = (1/2)x + 1
By comparison,
m = 1/2
∴ Slope = 1/2
Now,
The slopes ordered from the least to greatest is
-3/4 < 1/2 < 3/4 < 12
Thus,
The equations ordered from the least to greatest is
y = (-3/4)x + 2
y - 3 = 1/2(x - 4)
3x - 4y = 7
y = 12(x - 19) + 5
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PLEASE HELP THIS IS SO CONFUSING TO ME!!!
According to the American Sleep Disorders Association, the average teenager needs around 9.5 hours of sleep per night, possibly because of hormones that are critical. Yet studies show that teenagers generally get an average of only 7.4 hours a night or less. Calculate the number of seconds of sleep that an average teenager is lacking for the 180 days of school in one year.
Answer:
A
Step-by-step explanation:
The two sentences relate like They establish a contrast. As American Sleep Disorders Association is considering the teenager sleep and adult sleep.
What is sleeping disorder?
Sleep Disorders are mostly common nowadays as people are more busy in their scheduling, they don't get proper and sufficient time to sleep. This creates many problems in the human body.
The common type of sleeping disorder are insomnia, restless toughnesses' syndrome, narcolepsy and sleep apnea.
Thus, option A is correct.
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how to write 0.5.5555.., 0.77777.., 0.288888… and 0.711111… as a fraction
Answer:
In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit and satisfying the equation i2 = −1; every complex number can be expressed in the form a + bi, where a and b are real numbers. Because no real number satisfies the above equation, i was called an imaginary number by René Descartes. For the complex number a + bi, a is called the real part and b is called the imaginary part. The set of complex numbers is denoted by either of the symbols {\displaystyle \mathbb {C} }\mathbb {C} or C. Despite the historical nomenclature "imaginary", complex numbers are regarded in the mathematical sciences as just as "real" as the real numbers and are fundamental in many aspects of the scientific description of the natural world.[1][a]
Step-by-step explanation:
Answer:
iakajakakam kwokwmajsj kakajnsnsj wjjsjajsj sjsjjsjs
Step-by-step explanation:
Given f(n) = 6n - 5
Evaluate f(-3)
Is
A student and teacher are racing to finish a book. It takes the teacher 14.4 hours to complete the book. It takes the student 1.75 times as long to finish. Based on this information, which statement is true?
Answer:
I don't know about that and I don't understand
I don't know what I'm doing wrong here, can anyone help?
if you look at the part where the first part connects with the second part:
y = 5 if x < - 2
y = -2x + 1 if -2 ≤ x < 1
we don't have a discontinuity there, so there shouldn't be a dot.
What is wrong with the graph?When we graph over intervals like (a, b) or [a, b] or something like that, we use dots to define the end of the intervals, and to denote that the function ends abruptly or we have a jump.
In this case, you can see that between the end and the second part and the beginning of the third part there is a jump, so the use of dots is correct there, but if you look at the part where the first part connects with the second part:
y = 5 if x < - 2
y = -2x + 1 if -2 ≤ x < 1
we don't have a discontinuity there, so there shouldn't be a dot.
That is the only error with the graph.
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Mark is purchasing new tiles for his bathrooms. The home improvement store charges $48 for each box of tiles when three or fewer boxes are purchased, $45 for each box when 4 to 8 boxes are purchased, $42 for each box when 9 to 19 boxes are purchased, and $38 for each box when more than nineteen boxes are purchased.
a. Write a piecewise function describing the cost of the boxes of tile.
Answer:
f(x)=
1. 48x when x < or = 3,
2. 45x when 4 < or = x < or = 8
3. 42x when 9 < or = x < or = 19
4. 38x when x > 19
Step-by-step explanation:
3 boxes or less = Cost of tiles = $48
4 - 8 boxes ; cost = $45
9 - 19 boxes ; cost = $42
> 19 boxes ; cost = $38
What are the three principles of describing data?
dispersion, range and standard deviation mean, median and mode
Mean, median and mode are the three principles of describing data.
Describing data:- Describing data is also called descriptive statistics, that describes the data through several methods such as graphical representations, central tendency, variability. It summarizes the data efficiently, which helps to make any conclusion on that dataset.
The three principles of describing data are-
Mean:- The summation of all the values divided by the total number of values, is called mean. It is also called as average.Median:- The middle value is called median.Mode:- The value, which occurs most often in a set of all values, is called mode.Thus we can conclude that, mean, median and mode are the three principles of describing data.
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which of the relations represent y as a function of x
For given relations, relation (1) and relation (3) represent y as a function of x.
And relation (2) does not represent y as a function of x.
In this question, we have been given some relations.
We need to determine which relations represent y as a function of x.
We know that a relation is function when there is unique output for each input.
Consider the first relation.
y = -3.4x
For each value of x there's unique and distinct output. Here x can take any real value.
so, the above relation is a function.
Consider the second relation.
We can observe that, for x = 1 there are two outputs i.e., y = 1 and y = -1.
Similarly for x = 4, there are two outputs y = 2 and y = -2.
this means, the second relation is not a function.
Now, consider the last relation.
From this graph we can see that from x = -∞ to x = ∞, there are unique outputs.
So, above graph represents a function.
Also, by vertical line test, the graph represents a function.
Therefore, for given relations, relation (1) and relation (3) represent y as a function of x.
And relation (2) does not represent y as a function of x.
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5 positive integers are arranged in
ascending order, as follows:
5, 6, 7, 7, x
The mode and the range are equal.
Find x.
x
Answer: x=12
Step-by-step explanation:
The range is: x-5
The mode is: 7
Hence,
x-5=7
x-5+5=7+5
x=12
Classify the angle as acute , obtuse , right , or straight
Answer:
1. right
2. obtuse
Step-by-step explanation:
Answer:
Acute and obtuse
Step-by-step explanation:
The first picture is acute as the angle is less than 90 and the second picture is obtuse as the angle is greater than 90 but less than 180.
a farmer places beehives containing bees in her orchard to pollinate the plants. The table below shows the ratio of the number of beehives to the number of acres in the orchard if the bees pollinate the plants at a constant rate, how many acres will be pollinated by the bees in 18 beehives
I don't know helpp me with the mathhh pleaseee
Step-by-step explanation:
Given AB with A(8, -4) and B(-6, 11), if P partitions AB such that the ratio of AP to AB is 2:7, find the coordinates of P
A group of friends enjoys playing miniature golf together. here are a set of final scores from a recent outing: 39, 41, 44, 50, 54, 56, 56, 56, 61 what is the mean?
The mean of a set of final scores from a recent outing is 50.77
Here,
A group of friends enjoys playing miniature golf together.
Here are a set of final scores from a recent outing:
39, 41, 44, 50, 54, 56, 56, 56, 61
We have to find the mean.
What is Mean?
The mean of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.
Now,
Set of final scores from a recent outing:
39, 41, 44, 50, 54, 56, 56, 56, 61
Then, Mean = 39 + 41 + 44 + 50 + 54 + 56 + 56 + 56 + 61 / 9
= 457/9
= 50.77
Hence,
The mean of a set of final scores from a recent outing is 50.77
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1. Which two points lie on a line with slope 2/3? A. (2, 0) and (3,0)
B. (3, –4) and (1, 2)
C. (0, 0) and (2, 3)
D. (–3, 2) and (0, 4)
2. What is the slope of the line that passes through the given points?
(6, –1) and (–3, –1)
A. undefined
B. 0
C. – 2/3
D. – 3/2
If you know the answers to the rest of the quick check please share them!
1. The two points that lie on a line with a slope of 2/3 are: D. (–3, 2) and (0, 4)
2. The slope is: B. 0.
How to Find the Slope of a Line?The formula for finding the slope of a line is:
Slope (m) = change in y/change in x
1. To find the two points that has a slope of 2/3, calculate the slope of each of them:
Slope for A = (0 - 0)/(3 - 2) = 0
Slope for B = (-4 - 2)/(3 - 1) = -3
Slope for C = (3 - 0)/(2 - 0) = 3/2
Slope for D = (4 - 2)/(0 -(-3)) = 2/3
Therefore, the two points that lie on a line with a slope of 2/3 are: D. (–3, 2) and (0, 4)
2. Slope of the line = change in y / change in x = (-1 -(-1))/(-3 - 6)
Slope (m) = 0/-9
Slope (m) = 0
The slope is: B. 0.
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The sears tower in chicago is 443 m tall. Joe wants to set the world’s stair climbing record and runs all the way to the roof of the tower. If joe’s average upward speed is 0. 60 m/s, how long will it take joe to climb from street level to the roof of the sears tower?.
Joe is going to [tex]12[/tex] minutes and [tex]18[/tex] seconds to ascend to the Sears tower's roof from street level.
How are time, distance, and speed related?Speed indicates how quickly something or someone is moving. Speed is calculated as follows: speed = distance * time. Following are the relationships between time, distance, and speed: Distance is directly related to speed and time. Time and speed are also negatively related. Speed is what it means. the speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity. Distance is the sum of an object's movements, regardless of direction. The flow of events from the past into the future is known as time. Time only ever moves in one way. Time can go either forward or backward, but not both.
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Pls help my homework is due in 7mins
Write 26/9 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.
Answer:
The decimal is 2.8 The 8 is the repeating decimal I just couldn't add the line to the top. So it would be 2.88888...
Step-by-step explanation:
How many units from zero is 0 on the number line? What is the opposite of 0?
Answer:
The absolute value of a number is the distance between the number and zero on a number line. Every number and it opposite are the same distance from zero on the number line.
a² + b²
______
a-b
if a = 3 and b = 4
Please help!
Answer:
Step-by-step explanation:
3^2+4^ / 3-4 = -25
The midpoint of KL is (7,3). One endpoint is K (4,1), what is the coordinate for the
other endpoint L?
Help please this is kinda hard and important for me.
Applying the angle relationship, the measures of the angles are:
m<a = 126°
m<b = 54°
m<c = 126°
m<d = 54°
m<e = 126°
m<f = 54°
m<g = 126°
What are Angles formed by Transversal and Parallel Lines?The diagram shows different angles that are formed when a transversal crosses two parallel lines. To find the measure of the missing angles, we would apply the angle relationship.
m<a = 180 - 54 [linear pair]
m<a = 126°
m<b = 54° [vertical angles pair]
m<c = m<a [vertical angles pair]
m<c = 126°
m<d = 54° [corresponding angles]
m<e = m<a [corresponding angles]
m<e = 126°
m<f = m<d [vertical angles pair]
m<f = 54°
m<g = m<e [vertical angles pair]
m<g = 126°
Therefore, applying the angle relationship, the measures of the angles are:
m<a = 126°
m<b = 54°
m<c = 126°
m<d = 54°
m<e = 126°
m<f = 54°
m<g = 126°
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Find the greatest common factor for each list of numbers 12,18,26,32
HELPP PLEASE. THANK YOU!!
Graph the following system of equations.
2x + 6y = 12
6x + 18y = 18
What is the solution to the system?
Answer:
A. No solution
Step-by-step explanation:
Please see attachment for the graph.
Hope this helps!
Please mark as brainliest if correct!
The equation has No Solution.
What is solution of equation?The points at which the lines representing the intersection of two linear equations are defined as the solution to a linear equation. In other words, the set of all possible values for the variables that satisfy the given linear equation is the solution set for the system of linear equations.
The set of linear equations can be solved in one of three ways
Unique Solution, No Solution and Infinitely Many Solutions.
Given equations
2x + 6y = 12
x 0 6
y 2 0
6x + 18y = 18
x 0 3
y 1 0
The graph of equations is attached,
for solution of equation,
we can find it by graph, the graph shows the parallel line for both equation since equations have No Solution.
The system of linear equations does not have a solution if the graphs of the linear equations are parallel. In this instance, there is no point at which lines do not cross.
Hence there is no solution for equations.
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A 2-pound bag of carrots costs $7.68. What is the price per ounce?
The price of carrots per ounce is $0.24 .
Ounce is an unit of mass in the Imperial System. It is widely used throughout the world and is one of the oldest units of measurement to still exist. The unit ounce is derived from uncia, a unit of measurement in roman times.
The ounce(abbreviated oz) is equal to approximately 28.35 grams and 16 ounces make up a pound.
Now it is given that a 2-pound bag of carrots cost $7.68 .
Therefore price per pound of carrots=$7.68÷2
Price per pound=$ 3.84 .
Now we know that 16 ounces make up a pound.
Price of carrots per ounce= $3.84 ÷16
Price per ounce= $ 0.24
Therefore the price of carrots per ounce is $0.24
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Write a function to describe the following scenario.
A taxi driver charges a flat rate of $7.25 plus
$0.65 per mile.
y = [?] + [?]x
Answer: Taxi driver has at most $10 to spend on the cab ride, he can travel at most 12.7 miles.
Step-by-step explanation:
A Taxi driver charges a flat rate = 7.25 dollars
taxi fare for 1 mile = 0.65 dollars
Suppose we consider Total money taxi driver can spend = 10 dollars
Let taxi driver travel x miles
Total charges = flat rate charge + taxi fare for each mile(distance) travelled
Find the value y = [?] + [?]x
suppose these two question marks indicate z1,z2
replace with y=10 and z1=1.75 and z2=0.65 values
Then y = [z1] + [z2]x
10 = 1.75 + 0.65(x)
0.65(x) = 10 - 1.75
0.65(x)= 8.25
x = 8.25/0.65
x = 12.7 miles
If Taxi driver has at most $10 to spend on the cab ride, he can travel at most 12.7 miles.
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What is 2 equivalent expressions for (4^9)^3
Answer:
[tex]4^{27}[/tex] and 18014398509482000
What is the quotient of 7 over 8 divided by 2 over 5?
Answer: 6
Step-by-step explanation:
got it right