You started this year with $338 saved and you continue to save $22 per month. How many months until you have saved $492?
Answers
Let,
m = the number of months
From the given scenario, the following equation is generated:
\(\text{ y = 33}8\text{ + 22m}\)Where,
y = is the total money you saved
Let's determine how many months until you have saved $492.
\(\text{ 492 = 338 + 22m}\)\(\text{ 338 + 22m = 492}\)\(\text{m = }\frac{\text{492 - 338}}{22}\)\(\text{ m = }\frac{154}{22}\)\(\text{ m = 7}\)Therefore, you'll be saving $492 in 7 months.
The answer is 7.
Related Questions
the interval [2, 4] is divided into n equal subintervals of length delta x. What is delta x (in terms of k and n)
Answers
Each subinterval would have length ∆x = (4 - 2)/n = 2/n
emiko makes shibori scarves and sells them for $48 each on a website for handmade goods. the expression 48s represents the total price of buying s scarves
Answers
The expression 48s represents the number of scarves (s) and its per unit (48).
What is an expression?An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Given that, Emiko makes shibori scarves and sells them for $48 each on a website for handmade goods.
Here, the expression 48s represents the total price of buying s scarves
We need to tell what 48s mean,
So,
48s here is the total cost for buying s scarves,
That mean, if we buy s scarves we will have to pay $48s
Similarly, if we will buy 4 scarves, we will pay = 48 × 4 = $192
For 10 scarves, we will pay = 48 × 10 = $480
Therefore, we can say $48 is the unit price of the scarf.
Hence, the expression 48s represents the number of scarves (s) and its per unit (48).
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The question was incomplete, so I answered for the question :-
Emiko makes shibori scarves and sells them for 48 each on a website for handmade goods the expression 48s represents the total price of buying scarves what do the parts of the expression 48s represents.
Answer:
Step-by-step explanation:
number of scarves
Price of scarves
lect the best answer for the question.
3
1. Find the value of y in the equation
-=8.
y-2
3
A. y = 2
8
B. y=-2-
3
8
5
C. y=-1
8
5
D. y =
loo
Answers
uestion 5 (1 point) Find the following Quadratic Regression for the following set of data
(-1,8), (5,-4), (7,8), (2,-6)
A. y= = 2x² - 6x + 2 2
B. y = .96x² - 5.77x + 1.38
C. y = -5.77x² + 1.38x+.96
D. y = 5x + 10
Answers
The quadratic regression equation is y = 1.38x^2 - 5.77x + 0.96
How to determine the quadratic regression equationFrom the question, we have the following parameters that can be used in our computation:
(-1,8), (5,-4), (7,8), (2,-6)
Using a graphing calculator, we have the following summary:
function value
mean of x 3.25
mean of y 1.5
correlation coefficient r 0.9990171837
A 1.380577428
B -5.769028871
C 0.9553805774
The equation is represented as
y = ax^2 + bx + c
So,, we habe
y = 1.38x^2 - 5.77x + 0.96
Hence, the equation is y = 1.38x^2 - 5.77x + 0.96
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PLS HELP ASAP Which equation models this situation?
28 more than a number is 33.
A. X+ 33 = 28
B. X- 28 = 33
C. X = 28 + 33
D. X + 28 = 33
Answers
Answer:
d
Step-by-step explanation:
Answer:
more than a number = addition
so it is D because the end result has to be 33.
Step-by-step explanation:
Hope this helped!
A club had some money to purchase new chairs. After buying 355 chairs at $199 each, there was $1,068 remaining. How much money did the club have at first? *
Answers
Answer:
$71713
Step-by-step explanation:
If each chair cost $199 then multiple 199 by 355
\(199*355= 70645\)
If they still have 1068 then add that into the sum
\(70645+1068=71713\)
So your answer is $71713
Answer: $71,713
Step-by-step explanation:
First you would multiply 355 by 199 to get 70,645. Next you would add the remainder of what they had, $1,068, and get the answer. hope this helps.
Film cameras allow a limited number of shots per role. How many images can a photographer typically shoot on a roll?
O A 30
OB. 36
OC. 25
O D. 50
OE 20
Answers
Film cameras allow a limited number of shots per role. 36 images can a photographer typically shoot on a roll. Thus, option A is the correct option.
The most cost-effective per shot is the roll, which typically yields 36 exposures. The 35mm format comes in a few different forms. On a roll of 35mm film, half-frame cameras may capture twice as many images at a smaller size.
Rolls of film typically have 24 or 36 exposures. The number of pictures you may take before loading a new roll may be limited as a result. However, some photographers view this as a benefit since it forces them to be more deliberate and exact when creating their images.
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Enter the number that belongs in the green box
Answers
The angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.
To find the measure of the angle between the sides measuring 4 and 5 in an obtuse triangle with side lengths 4, 5, and 7, we can use the Law of Cosines. The Law of Cosines states that in a triangle with side lengths a, b, and c, and an angle opposite to side c, the following equation holds:
\(c^2 = a^2 + b^2 - 2ab*cos(C)\)
In this case, we have side lengths a = 4, b = 5, and c = 7. We want to find the angle C, which is opposite to side c. Substituting these values into the Law of Cosines, we get:
\(7^2 = 4^2 + 5^2\)- 2(4)(5)*cos(C)
49 = 16 + 25 - 40*cos(C)
49 = 41 - 40*cos(C)
40*cos(C) = 41 - 49
40*cos(C) = -8
cos(C) = -8/40
cos(C) = -0.2
To find the measure of angle C, we can take the inverse cosine (arccos) of -0.2:
C = arccos(-0.2)
Using a calculator, we find that C ≈ 101.54 degrees.
Therefore, the measure of the angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.
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Type the correct answer in each box.
Day Amount
1
$26
2
$23
3
$31
4
$26
5
534
The table shows the amount Bill spent on 5 days last week.
The mean of the amount he spent is $
The mean absolute deviation is $
Reset
Next
Answers
The mean absolute deviation is $106.6.
Given the table shows the amount Bill spent on 5 days last week.
DayAmount12622313126534To find the mean of the amount he spent: The formula for calculating the mean of a given set of values is mean=∑x/n where x represents the values, n represents the number of values, and ∑x represents the sum of the values.
Mean=total sum of values/total number of values Mean=(26+23+31+26+534)/5Mean=640/5Mean=128So,
the mean of the amount he spent is $128.To find the mean absolute deviation: The mean absolute deviation (MAD) is the average distance between each data value and the mean. MAD shows how much the data set deviates from the mean. The formula for calculating the MAD is MAD=∑|xi−m|/n where xi represents the values, m represents the mean, and n represents the number of values. So, the calculation for each day is:
Day Amount Absolute deviation from mean1 26 |128-26|=102 23 |128-23|=105 31 |128-31|=974 26 |128-26|=102 534 |128-534|=406
The sum of all absolute deviations is:
10+10+97+10+406=533The mean absolute deviation (MAD) is: MAD=533/5=106.6So.
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Find the number of distinguishable permutations of the given letters "AABBCCCD".
Answers
Answer:
mother A1 has daughter A2, and
mother B1 has daughter B2, and
mother C1 has daughter C2, and
mother D1 has daughter D2.
Step-by-step explanation:
.
Heather paid $37.50 for a pizza to be delivered to her house. She had a coupon for 30% off and
there is a tax of 8%. What was the total cost of the pizza to be delivered?
Answers
Answer:
The original cost of the pizza before the discount coupon and the tax was $49.28.
Step-by-step explanation:
Given that Heather paid $ 37.50 for a pizza to be delivered to her house, and she had a coupon for 30% off and there is a tax of 8%, to determine what was the total cost of the pizza to be delivered, the following calculation has to be done:
100 - 8 = 92
100 = 37.50
92 = X
92 x 37.50 / 100 = X
34.50 = X
100 - 30 = 70
70 = 34.50
100 = X
100 x 34.50 / 70 = X
49.28 = X
Thus, the original cost of the pizza before the discount coupon and the tax was $ 49.28.
Four buses carrying 198 students from the same school arrive at a football stadium. The buses carry, respectively 90, 33, 25, and 50 students. One of the students is randomly selected. Let X denote the number of students who were on the bus carrying the randomly selected student. One of the four bus drivers is also randomly selected. Let Y denote the number of students on her bus. a) Which of E[X] or E[Y] do you think is larger
Answers
Answer:
E[x] is larger
Step-by-step explanation:
I think E[x] is larger because the expected number of students on the bus of a randomly chosen student is larger.
This is because the higher the number of students present in a bus, the higher the probability that a randomly selected student would have been on that bus.
Whereas, for every driver to be chosen, the probability of any bus being chosen is 1/4 irrespective of the number of students in that particular bus
In a sample of n = 6 scores, 5 of the scores are each above the mean by one point. Where is the 6th score located relative to the mean?
Answers
The mean of a dataset is the sum of all data elements divided by the count of the elements.
The location of the 6th score relative to the mean is 5 points below the mean
Let:
\(\bar x \to\) Mean
\(a \to\) 5 scores
\(b \to\) 6th scores
Given that:
\(n = 6\)
The 5 scores that are 1 above the mean implies that:
\(a = \bar x + 1\)
The mean of a dataset is calculated using:
\(\bar x = \frac{\sum x}{n}\)
So, we have:
\(\bar x =\frac{5a + b}{6}\)
\(\bar x =\frac{5(\bar x + 1) + b}{6}\)
Open brackets
\(\bar x =\frac{5\bar x + 5 + b}{6}\)
Multiply both sides by 6
\(6\bar x =5\bar x + 5 + b\)
Make b the subject
\(b = 6\bar x -5\bar x - 5\)
\(b = \bar x - 5\)
This means that the 6th score is 5 points below the mean
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If a car travels 23 miles in 20 min what is the. car speed in miles per hour?
Answers
Answer:
69 miles per hour
Step-by-step explanation:
car travels 23 miles in 20 min
So 20 min=20/60hour
=1/3. hour
Speed of the car=23÷1/3
=69 miles/hour
So the final answer is 69miles/hour
urgent help now plz i will give brainlest
Answers
Answer:
Step-by-step explanation:
First get the (m) which is the gradient by using the formula y2-y1/x2-x1
Pick any random 2 values from the table. I will pick. (1,4) (2,8)
Y2=8 Y1=4 X2=2 X1=1
8-4/2-1 4/1 = 4
Y=4x+c
Which description best explains the domain of (g circle f) (x)?
the elements in the domain of f(x) for which g(f(x)) is defined
the elements in the domain of f(x) for which g(f(x)) is not zero
the elements in the domain of g(x) for which g(f(x)) is defined
the elements in the domain of g(x) for which g(f(x)) is not zero
Answers
The correct description is "the elements in the domain of f(x) for which g(f(x)) is defined."
What is a function?A relation is a function if it has only One y-value for each x-value.
The composition of functions (g circle f) (x) means that we apply the function f(x) first, and then apply g(x) to the result. Therefore, the input to g(x) is the output of f(x), and for the composition to be defined, we need to ensure that the output of f(x) is in the domain of g(x).
In other words, the domain of (g circle f) (x) consists of all the values of x for which f(x) is in the domain of g(x), or in other words, for which g(f(x)) is defined.
Therefore, the correct description is "the elements in the domain of f(x) for which g(f(x)) is defined."
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The mixed number 1 2/5 and the decimal number 1.4 can be used to represent the same value.
True or False
Answers
1 2/5 =1.4
2 divided by 5 is .4
plus the 1
1.4 = 1.4
find the cost of 72 books at 5.75
Answers
Answer: $414
Step-by-step explanation:
Total of books= 72
Cost of each book= $5.75
72(5.75)= $414
3421 ounces equals how many tons
Answers
Answer:
0.1069062
Step-by-step explanation:
divide the mass value by 32000
hope this helps.
Determine by inspection whether the vectors are linearly independent. Justify your answer.
[4 1], [3 9], [1 5], [-1 7]
Choose the correct answer below.
A.The set is linearly dependent because at least one of the vectors is a multiple of another vector.
B. The set is linearly independent because at least one of the vectors is a multiple of another vector.
C. The set is linearly dependent because there are four vectors but only two entries in each vector.
D. The set is linearly independent because there are four vectors in the set but only two entries in each vector.
Answers
Answer:
B. The set is linearly independent because at least one of the vectors is a multiple of another vector.
Step-by-step explanation:
A set of n vector of length n is linearly independent if the matrix with these vectors as column has none of zero determinant. The set of vectors is dependent if the determinant is zero. In the given question the vectors have no zero determinants therefore it is linearly independent.
Kurt does chores in his neighborhood
Answers
Answer:
yeah what is the question or awnser
Step-by-step explanation:
A corporation is having a shareholders meeting to vote on a new issue. Not all shareholders are able to attend. In fact, most usually do not. The ownership of the corporation is represented by 2,351,00 shares of stock owned by 111,273 shareholders. Must all of the shareholders own more than one share of stock? If 3,411 shareholders attend the meeting, what percent of the shareholders attended the meeting? Round to the nearest percent. If the shareholders who do not attend own a combined 1.8 million shares of the corporation and the shareholders are voting on a particular issue, these shareholders can vote by proxy - an absentee ballot. If 100,000 of the shareholders vote by proxy, what percent of the shareholders did not vote at all?? Round to the nearest percent.
Answers
Answer:
a) The percentage of the shareholders who attended the meeting is 3%.
b) The percentage of the shareholders who did not vote at all is 7%.
Step-by-step explanation:
a) Data and Calculations:
Outstanding shares = 2,351,000
Number of shareholders = 111,273
Number of shareholders who attended the meeting = 3,411
The percentage of the shareholders who attended the meeting = 3,411/111,273 * 100
= 3.065
= 3%
Absent shareholders = 107,862 (111,273 - 3,411) and own 1.8 million shares
Proxy voters = 100,000
Non-voting shareholders 7,862
Therefore, the percentage of shareholders who did not vote at all
= 7,862/111,273*100
= 7.0655
= 7%
(90) points and brainly! Sameen works at an office. During her lunch break, she rides her bicycle to her favorite sandwich shop and eats lunch at a local park. The graph below shows the distance she is from work over time. Select the statement that is true regarding Sameen's lunch break based on the graph. A Between 0 minutes and 6 minutes, Sameen's distance from work is constant. B Between 6 minutes and 9 minutes, Sameen's distance from work is decreasing. C Between 9 minutes and 27 minutes, Sameen's distance from work is 0 miles. D Between 27 minutes and 30 minutes, Sameen's distance from work is increasing.
Answers
Answer:
(B) Between 6 and 9 minutes, Sameen's distance from work is decreasing
Step-by-step explanation:
Looking at the graph, we want to make sure we are looking at the right axis.
The x-axis, the horizontal one, is minutes.
The y-axis, the vertical one, is distance from work.
We can see that while x is between 6 and 9 minutes, the graph slopes downwards. This signifies a decrease in distance from work.
So between 6 and 9 minutes, Sameen's distance from work is decreasing.
Hope this helped!
Answer:
Between 6 and 9 minutes, Sameen's distance from work is decreasing
Step-by-step
Select the statement that correctly compares two numbers. (GIVING BRAINLIEST)
4.13 = 4.130
5.16 < 5.06
6.28 < 6.08
7.09 > 7.19
Answers
Answer:
4.13=4.130
If there is a 0 at the end of a decimal then you can drop it.
The statement that correctly compares two numbers is 4.13 = 4.130. The correct option is A.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
From the given options the correct expression which represents equality will be 4.13 = 4.130. The value of both the numbers is the same. There is not any significance of 0 at the end of the expression.
Therefore, the statement that correctly compares two numbers is 4.13 = 4.130. The correct option is A.
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Determine if 3√10 /4 is in simplest form. if the expression is not in simplest form explain why? HELP PLEASE
Answers
The notation in its current form isn't entirely clear.
Did you mean to write \(\frac{3\sqrt{10}}{4}\)? The 4 isn't in the square root.
If so, then the expression is in simplest form because we cannot simplify \(\sqrt{10}\) any further (note how 10 doesn't have any perfect square factors other than 1).
Also, the 3/4 portion is fully reduced already.
------------------------
Or,
Did you mean to write \(3\sqrt{\frac{10}{4}}\) ? This time the 4 is inside the square root.
If so, then we can simplify like this
\(3\sqrt{\frac{10}{4}}\\\\\frac{3\sqrt{10}}{\sqrt{4}}\\\\\frac{3\sqrt{10}}{2}\\\\\)
This means that \(3\sqrt{\frac{10}{4}}=\frac{3\sqrt{10}}{2}\\\\\)
show that cos165 + sin165 = cos135
Answers
= cos165° + sin(90° - 75°)
= cos165° + cos75°
= 2cos(165° + 75°)/2 * cos(165° - 75°)/2
= 2cos120° cos45°
= 2cos(180° - 60°) * cos(180° - 135°)
= 2 * [- cos60°] * [- cos135°]
= 2 * (-1/2) * (-135°)
= cos135°
answer fast please!! :) i’ll give branliest
Answers
Answer:
C.
Step-by-step explanation:
A. 4 - 2 = 2 not zero
B.
$50 in 1 account
$50 in another account
Not zero
C.
6 deg - 6 deg = 0 deg
This is zero
D.
$8 - $3 = $5
Not zero
Answer:
c
Step-by-step explanation:
A researcher was interested in the impact of listening to different types of music on learning. She designed an extensive maze for rats and after she taught rats how to get through the maze, she randomly assigned each rat to run the maze while (a) listening to classical music, (b) listening to heavy metal music, or (c) in a quiet room (i.e., no music). The researcher measured the amount of time it took each rat to get through the maze and the number of errors made.
a. Independent Variable ? _________________ What are the levels? ________________________________
b. Dependent Variable ? _____________________________
c. What might be an extraneous variable?: ___________________________________
d. Control group? _________________ Experimental Group(s)?____________________
Answers
a.) The independent variable is the different types of music
b.) The dependent variable is the impact of listening felt by the rats
c.)An extraneous variable is the length of the maze.
d.) The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.
What is an independent and dependent variables?An independent variable is defined as the type of variable that cannot be manipulated by a researcher and isn't affected by what is being measured.
A dependent variable is the variable that can be manipulated by a researcher and is affected by what is being measured.
For question a.)
The independent variable is the different types of music
For question b.)
The dependent variable is the impact of listening felt by the rats
For question c.)
An extraneous variable is the length of the maze.
For question d.)
The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.
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A straight line has a slope of 3 and contains the point (0. -3). Which of the following points lies on the line?
a. (-1, 3)
b. (1, -2)
c. (1, 1)
d. (1, 2)
e. (2, 3)
Answers
Answer:
The answer is e. (2, 3)
Step-by-step explanation:
I graphed it.
Answer:
the correct answer is e (2,3)
Step-by-step explanation:
i used a graph and went up 3 and over one
Define associative property
Answers
Answer:
the way in which factors are grouped in a multiplication problem does not change the product.
Step-by-step explanation: