Answer: x=-3
Step-by-step explanation: Linear function of -3. This is because you subtract by 3 from f to g each time.
Pankaj is a Biomedical Engineering student. He plans to deposit $600 that he earned as stipend, in
a bank account at 3% rate of interest compounded weekly for no more than 2 years. The total
amount of the money, A, that Pankaj will get back, is a function of time, t. Which is a reasonable
domain of the money that he may accumulate?
The correct answer is A: 600 <= money <= 2822.4.
This represents the range of possible values that Pankaj's accumulated money could fall into, given the specified conditions of the 3% interest rate compounded weekly for a maximum of 2 years. The lower bound, 600, represents the initial deposit amount, while the upper bound, 2822.4, represents the maximum amount of money Pankaj could earn after 2 years, assuming that interest is compounded every week.
Saylin received $325 in gifts for her 8th Grade Moving Up Ceremony. She plans on investing all of it in an account earning 4.25% interest compounded annually. How much money will be in the account in four years?
A) $877.50
B) $383.87
C) $1340.12
D) $138.13
To calculate the future value of the investment, we can use the formula for compound interest:
\(\sf A = P \left(1 + \frac{r}{n}\right)^{nt}\)
where:
\(\sf A\) = the future value of the investment
\(\sf P\) = the initial principal (amount invested)
\(\sf r\) = the interest rate (as a decimal)
\(\sf n\) = the number of times interest is compounded per year
\(\sf t\) = the number of years
In this case, Saylin received $325 and plans to invest it for 4 years at an interest rate of 4.25% compounded annually.
Substituting the values into the formula, we have:
\(\sf A = 325 \left(1 + \frac{0.0425}{1}\right)^{(1 \times 4)}\)
Simplifying the equation:
\(\sf A = 325 \times 1.0425^4\)
Calculating the expression, we find:
\(\sf A \approx 383.87\)
Therefore, the amount of money in the account after 4 years will be approximately $383.87. Thus, the correct option is B) 383.87.
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8.
A train from London arrives in Crewe at 2210. The train takes 1 hour and 30 minutes.
What time did the train depart London?
Answer:
2040
Step-by-step explanation:
what polygon is shown below
The polygon shown in the figure is the Rhombus.
What is a polygon?
A polygon is a closed figure made up of three or more line segments connected end to end.
Regular polygons have all side the same and that apothem bisects the side in two parts, (provable by symmetry).
A square is always a rectangle, parallelogram, rhombus and quadrilateral but its reverse statement may or may not be true.
A rhombus is a parallelogram but all sides of the same length.
An exterior angle is a measure of rotation between one extended side(we extend it virtually) of the polygon with its adjacent side which is not extended.
Hence the answer is the polygon shown in the figure is Rhombus.
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. Joaquin played basketball with his friends from 1:10 to 3:35. He arrived home 20 minutes later. How many minutes passed from the time Joaquin started playing basketball until the time he arrived at home?
Answer:
165 minutes
Step-by-step explanation:
To solve for the number of minutes that Joaquin played for, we can use this expression:
(let 'a' represent how much time passed from the time Joaquin started playing basketball until the time he arrived at home)
1:10 + a = 3:35Subtracting 1:10 from each side:
1:10 - 1:10 + a = 3:35 - 1:101:10 - 1:10 cancels out to 0, while 3:35 - 1:10 is equal to 2:25.
So, the expression is now:
a = 2:25So, 2 hours and 25 minutes passed.
If we know that 1 hour is equivalent to 60 minutes, we can use this expression to solve for however many minutes are in 2 hours:
2 × 60 = 120Now we need to add on the number of minutes and the time it took him to get home:
120 + 25 + 20 = 165Therefore, 165 minutes passed from the time Joaquin started playing basketball until the time he arrived at home.
Hello random community i have a question to ask what is 7/8 - 3/4
Answer: 1/8
Step-by-step explanation:
First make the bottom half the same:
3/4*2/2=6/8
We don’t need to change the first portion since they have a common factor
7/8-6/8=1/8
You lose an online auction for an autograph. Your losing bid of $28 is 40% of the winning bid. How much less was your bid than the winning bid?
Answer:
My bid was $42 less than the winning bid.
Step-by-step explanation:
The winning bid is x.
$28 is 40% of x
0.4x = 28
x = 28/0.4
x = 70
The winning bid was $70.
$70 - $28 = $42
Answer: My bid was $42 less than the winning bid.
10 Ten Atlas batteries were tested to find their average life. The times, in hours, that the batteries lasted were as follows: 10.8, 10.6, 11.4, 8.9, 10.1, 10.6, 9.9, 12.6, 10.5, 11.9. a Find, to the nearest tenth of an hour, the average life of the ten batteries. b Which of the following advertisements is more accurate? i Atlas batteries are guaranteed to last 10 hours. ii Atlas batteries have an average life of over 10 hours.
a) To find the average life of the ten batteries, we need to calculate the mean, which is the sum of all the values divided by the number of values.Sum of all values = 10.8 + 10.6 + 11.4 + 8.9 + 10.1 + 10.6 + 9.9 + 12.6 + 10.5 + 11.9 = 106.2
Number of values = 10
Average life = Sum of all values / Number of values = 106.3 / 10 ≈ 10.63
Therefore, the average life of the ten batteries, rounded to the nearest tenth of an hour, is approximately 10.6 hours.
b) Comparing the two advertisements:
i) The first advertisement claims that Atlas batteries are guaranteed to last 10 hours. This means that all Atlas batteries are expected to last at least 10 hours. However, based on the data provided, we can see that the average life of the batteries is approximately 10.6 hours, which is higher than the guaranteed 10-hour minimum
ii) The second advertisement claims that Atlas batteries have an average life of over 10 hours. This statement aligns with the data we have, as the average life of the batteries is indeed over 10 hours.
Based on the information provided, the second advertisement claiming that Atlas batteries have an average life of over 10 hours is more accurate, as the average life calculated from the given data is 10.6 hours.
In summary, the average life of the ten batteries is approximately 10.6 hours, and the second advertisement stating an average life of over 10 hours is more accurate based on the data provided.
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What’s the Y and X intercepts?
12x + y = 120
Answer:
Y intercept (0,120), x-intercept (10,0)
Step-by-step explanation:
Hi! Just wondering if you could check if i got this right?
Answer:
Step-by-step explanation:
the answer is x = 24
3/4x+4=22
3x/4+4=22
3x/4+4=22
3x/4+4x4/4=22
3x/4+4x4/4=22
3x+4x4/4=22
x=24
Describe the graph of y = 3 x squared and compare it with the graph of y = x squared
Answer:
\(y=3x^{2}\) has a higher vertical scaling compared to \(y=x^{2}\)
Step-by-step explanation:
Graph it! (:
Answer:
Both graphs are parabolas and they both open upward and pass through 0, 0. The first graph is more narrow than the second graph.
Step-by-step explanation:
This was the possible answer provided :)
Which of the following fractions is closest to
5/8
2/3
13/20
11/16
What is the value of x in this proportion?
56=−4x+2
Responses
x=−2 4/5
x equals negative 2 and 4 over 5
x=−4 2/5
x equals negative 4 and 2 over 5
x=−5 1/5
x equals negative 5 and 1 over 5
x=−6 4/5
x equals negative 6 and 4 over 5
The value of x or the expression 56 = -4x + 2 is -27/2.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
56 = -4x + 2
Solve for x.
56 = -4x + 2
Subtract 2 on both sides.
56 - 2 = -4x
54 = -4x
Divide -4 into both sides.
-54/4 = x
x = -54/4
x = -27/2
x = -13(1/2)
Thus,
The value of x is -27/2.
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One number is 19 more than twelve times another. Their sum is 149. Find the numbers.
Answer:
The numbers are 10 and 139.
Step-by-step explanation:
Assuming you have two numbers you need to search for, let's label them as x and y.
x is 19 more than 12 times y. We can rearrange this to be x = 19 + 12y. This will be our first equation. It is then stated that their sums, or x + y, is equal to 149. We have two equations now:
x = 19 + 12yx + y = 149Because x is already separated, we can plug equation (1) into equation (2).
(19 + 12y) + y = 149
Because there is nothing in the parentheses that we can combine, we can remove them and begin combining like terms.
19 + 12y + y = 149
19 + 13y = 149
We subtract 19 from both sides to begin to isolate the variable y.
13y = 130
y = 10
Because we have obtained y, we can plug it back into equation (2) to obtain x.
x + y = 149
x + (10) = 149
x = 139
help! offering 15 points
The formula for the centripetal force, as a function of the radius, is given as follows:
F = 896/r.
What is a proportional relationship?The equation that defines a direct proportional relationship is given as follows:
y = kx.
In which k is the constant of proportionality.
For an inverse proportional relationship, the equation is given as follows:
y = k/x.
The centripetal force varies inversely with the radius, hence the equation is given as follows:
F = k/r.
When F = 56, r = 16, hence the constant k is obtained as follows:
56 = k/16
k = 56 x 16
k = 896.
Hence the equation is given as follows:
F = 896/r.
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Santiago has been approved for a conventional loan which requires a 20% down payment, he has been approved for a mortgage up to $195,000. If Santiago buys a house for the max amount, how much will his down payment be? Therefore, how much house could Santiago afford? How much is Santiago's down payment? How much can Santiago spend on a house?
If Santiago has been approved for a mortgage up to $195,000 and the conventional loan requires a 20% down payment, then his down payment will be:
Down payment = 20% * $195,000
Down payment = $39,000
Therefore, if Santiago buys a house for the maximum amount he has been approved for, he will need to make a down payment of $39,000.
To calculate how much house Santiago can afford, we need to subtract the down payment from the total amount he has been approved for:
Maximum home price = Total mortgage amount - Down payment
Maximum home price = $195,000 - $39,000
Maximum home price = $156,000
Therefore, Santiago can afford a home up to a maximum price of $156,000.
To summarize:
Santiago's down payment will be $39,000.
Santiago can spend up to $156,000 on a house.
I'm sorry to disturb but can you please mark me BRAINLEIST if this ans is helpfull
30 POINTS! How can matrices be used to represent and manipulate data?
Matrices are a type of data structure that can be used to represent and manipulate data in a variety of ways.
One way to use matrices to represent data is to store the data in the form of a matrix. For example, a matrix could be used to represent a table of values, where each row represents a different data point and each column represents a different attribute or feature of the data.
Matrices can also be used to manipulate data by performing mathematical operations on the matrix elements. For example, matrices can be added, subtracted, and multiplied to perform operations such as matrix addition, matrix subtraction, and matrix multiplication. These operations can be used to perform various types of data manipulation, such as combining data from different sources, transforming data, or calculating statistics.
In addition to performing mathematical operations, matrices can also be used to store and manipulate data in other ways. For example, matrices can be used to represent and manipulate images and other types of data that have a two-dimensional structure. Matrices can also be used to represent and manipulate data in higher dimensions, such as data with a three-dimensional structure.
Overall, matrices are a powerful tool for representing and manipulating data in a variety of contexts, and they are widely used in a range of fields including mathematics, computer science, engineering, and data analysis.
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Matrices are a type of data structure that can be used in a variety of ways to represent and manipulate data.
One method for utilizing grids to address information is to store the information as a framework. A table of values, for instance, could be represented by a matrix, with each row representing a distinct data point and each column representing a distinct attribute or feature of the data.
What are matrix?The plural form of a matrix, a rectangular array or table in which numbers or elements are arranged in rows and columns, is referred to as a matrices. They can have as many columns and rows as you want. Matrix operations include addition, scalar multiplication, multiplication, transposition, and others.
When performing these matrix operations, certain rules must be followed. For example, they can only be multiplied if the first and second columns are exactly the same, and they can only be added or subtracted if they have the same number of rows and columns.
Matrices can also be used to manipulate data by performing mathematical operations on the matrix elements. For example, matrices can be added, subtracted, and multiplied to perform operations such as matrix addition, matrix subtraction, and matrix multiplication. These operations can be used to perform various types of data manipulation, such as combining data from different sources, transforming data, or calculating statistics.
In addition to performing mathematical operations, matrices can also be used to store and manipulate data in other ways. For example, matrices can be used to represent and manipulate images and other types of data that have a two-dimensional structure. Matrices can also be used to represent and manipulate data in higher dimensions, such as data with a three-dimensional structure.
In general, matrices are extensively utilized in a variety of fields, including mathematics, computer science, engineering, and data analysis. They are a powerful tool for representing and manipulating data in a variety of contexts.
Hence the matrices be used to represent and manipulate data.
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Calc II Question
Sketch the region enclosed by the given curves and find its area.
Y = lxl , y = x^2 - 2
Answer:
\(\displaystyle A=\frac{20}{3}\)
Step-by-step explanation:
\(\displaystyle A=\int^2_{-2}(|x|-(x^2-2))\,dx\\\\A=2\int^2_0(x-(x^2-2))\,dx\\\\A=2\int^2_0(-x^2+x+2)\,dx\\\\A=2\biggr(-\frac{x^3}{3}+\frac{x^2}{2}+2x\biggr)\biggr|^2_0\\\\A=2\biggr(-\frac{2^3}{3}+\frac{2^2}{2}+2(2)\biggr)\\\\A=2\biggr(-\frac{8}{3}+2+4\biggr)\\\\A=2\biggr(-\frac{8}{3}+6\biggr)\\\\A=2\biggr(\frac{10}{3}\biggr)\\\\A=\frac{20}{3}\)
Bounds depend on whether you use -x or +x instead of |x|, but you double regardless. See the attached graph for a visual.
After going trick-or-treating, Jeremy is trying to
figure out how many houses he visited. Jeremy knows
he started with 9 pieces of candy in his bag and
averaged 2 candies per house. If Jeremy has 71
pieces of candy, how many houses did he visit?
what is the linear equation to (10,-7) and (-2,10)
Cody worked 16 hours last week at the grocery store His friend Sophie worked nine less that twice the number of hours that Cody did.If Cody made $156.80 and they both make the same hourly rate,how much did sophie make
Answer: Sophie made $137.2 that week
Step-by-step explanation:
First, find how much money Cody makes an hour with this equation 16t = 156.80 (t = how much they get paid an hour) => 156.80/16 = 9.8
Cody makes 9.8 dollars an hour.
Now, we find out how much Sophie worked. it states "Sophie worked nine less that twice the number of hours that Cody did" so it should be 16-9 multiplied by 2
Sophie worked 2(16-9) = 14 hours
Finally, multiply the hours worked times the amount she earns an hour 14x9.8= 137.2 dollars
Sophie made $137.2 that week
What is the range of the function shown on the graph?
The range of the function on the graph is y > -6
Calculating the range of the graph?From the question, we have the following parameters that can be used in our computation:
The graph
The graph is an exponential function
The rule of an exponential function is that
The domain is the set of all real numbers
This means that the input value can take all real values
However, the range is always greater than the constant term
In this case, it is -6 i.e. the point where it intersects with the y-axis
So, the range is y > -6
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If f(x) = x^2 is reflected over the x-axis and the shifted 4 units down, what is the equation of the new function, g(x)?
Answer:
g(x) = -x² - 4
Step-by-step explanation:
In this case, we are only changing a (reflection and vertical shrink/stretch) and k (vertical movement)
k = -4 because we are moving 4 units down
a = -1 because we are just reflecting over the x-axis
Which of the following is not a promotional tactic used by a seller?
a.
bait and switch
b.
clearance
c.
closeout
d.
liquidation
Answer:
we conclude that the 'bait and switch' technique is not a promotional tactic used by a seller.
Hence, 'a' is the correct option.
Step-by-step explanation:
From the given options, the 'bait and switch' technique is not a promotional tactic used by a seller.
'Bait and switch' is a deceptive sale practice using which the sells try to attract (bait) the customers by offering attractive prices on certain items, but when the customers tend to go to the shop to buy the items, they witness the unavailability of the goods, or find the prices go higher compared to what they had been offered.
Now, since the customers are already present at the shop, the sellers try to pressurize the customer so that they could buy something else.
Therefore, we conclude that the 'bait and switch' technique is not a promotional tactic used by a seller.
Hence, 'a' is the correct option.
Answer:
A
Step-by-step explanation:
CAN SOMEONE HELP WITH THIS QUESTION?✨
The percentage error in the density of metal will be 3.4%.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the density of the metal in the handbook is 4.018 g/mL and the measured value of the density is 4.16 g/mL.
The percentage error will be calculated as:-
Percentage = [ ( 4.16 - 4.018 ) / 4.16 ] x 100
Percentage = 0.034x 100
Percentage = 3.4%
Hence, the percentage error will be 3.4% for the densities.
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If a dozen eggs cost rs 36 find the cost of 7 eggs
21
Step-by-step explanation:12 eggs .................. 36
7 eggs ....................... x
x = 7×36/12 = 252/12 = 21
☽------------❀-------------☾
Hi there!
~
Rs 36 = 12 eggs = 1 dozen
Rs 3 = 1 egg
Rs 21 = 7 eggs
❀Hope this helped you!❀
☽------------❀-------------☾
A package of 8-count AA batteries costs $6.16. A package of 20-count AA batteries costs $15.60. Which statement about the unit prices
is true?
The 8-count pack of AA batteries has a lower unit price of $0.77 per battery.
The 20-count pack of AA batteries has a lower unit price of $0.77 per battery.
The 20-count pack of AA batteries has a lower unit price of $0.78 per battery.
Answer:
it would be within the range of $0.77 <x< $0.78
Ed is on a road trip. He has already traveled 212 miles and is driving at a rate of 65 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 675 total miles?
Rose has a savings account. Every month she deposits $20 in it. The graph shows the relationship between the months and the balance of Rose’s savings account. Write an inequality to show when Rose will have more than $160 in her savings account. Explain your answer.
The graph shows that Rose's savings account balance increases by $20 each month.
How to explain the informationThe balance of her account after m months is 20m dollars. We want to find an inequality that shows when 20m>160, or when m>8.
Therefore, the inequality that shows when Rose will have more than 160 dollars in her savings account is m>8.
Here is a table of values that shows that Rose will have more than 160 dollars in her savings account after 8 months:
Month | Balance
------- | --------
1 | 20
2 | 40
3 | 60
4 | 80
5 | 100
6 | 120
7 | 140
8 | 160
In conclusion, the graph shows that Rose's savings account balance increases by $20 each month.
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Solve using the Square Root Property.
y^2 = 1/16
Answer:
1/4
Step-by-step explanation:
The square root of 16 is 4, so its the same with fractions.