3y
Step-by-step explanation:
Evaluate the expression for x=7 and y=-2
4x+4y
Answer:
20
x=7
y= -2
4x+4y
=4(7)+4(-2)
=28-8
=20
A student is graduating in 12 months and
receives and unsubsidized Stafford loan with
a 6 month grace period from graduation.
The loan is a total of $8,465 at 5.9%
compounded
monthly.
FV
Rate
Nper
Pmt
Pv
Type
The future value (FV) of the loan after 12 months, after the monthly compounding at an interest rate of 5.9%, is about $8977.98.
What is the future value?For one to be able to calculate the future value (FV) of the loan, one need to use the formula for compound interest which is:
FV = PV x (1 + r)ⁿ
Where:
PV = Present value (loan amount)
= $8,465
r = Monthly interest rate
= 5.9% / 12
= 0.004917
n = Number of compounding periods
= 12 (months)
Pmt = Monthly payment (unknown)
So by Using these values, one can calculate the future value (FV) of the loan and thus:
FV = $8,465 x (1 + 0.004917)¹²
= $8,465 x 1.0606
= $8977.98
So, the future value (FV) of the loan after 12 months, as at the monthly compounding at an interest rate of 5.9%, is about $8977.98.
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Write the expression using exponents.
−(4b)(4b)(4b)
The expression −(4b)(4b)(4b) using positive exponents is -(4b)³
How to rewrite the expression using exponentsFrom the question, we have the following parameters that can be used in our computation:
−(4b)(4b)(4b)
Express properly
So, we have
−(4b) * (4b) * (4b)
5⁻¹² * 32⁻³ * 9⁻¹⁵
By using the definition of positive exponents, we have
−(4b) * (4b) * (4b) = -(4b)³
So, the solution is -(4b)³
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Marni has 24 ounces of walnuts. she needs 14 ounces for one recipe and 1/2 pounds for another. how many total ounces does she need to make her recipes?
The total ounces she needs to make her recipes is 22 ounces
Calculating quantityFrom the question, we are to determine how many total ounces Marni needs to make her recipe
From the given information,
Marni has 24 ounces of walnuts
Also,
She needs 14 ounces for one recipe
and
1/2 pounds for another
First, we will convert 1/2 pounds to ounces
NOTE: 1 pound = 16 ounces
∴ 1/2 pound = 8 ounces
Then, we can rewrite that
She needs 14 ounces for one recipe
and
8 ounces for another
The total ounces she needs to make her recipes = 14 ounces + 8 ounces
The total ounces she needs to make her recipes = 22 ounces
Hence, the total ounces she needs to make her recipes is 22 ounces
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What is the mean age of the patients now?
How many patients are now over this mean age?
Answer both questions
Answer:
21, 30 and 2.
Step-by-step explanation:
To find the mean you need to add up all the ages and divide them by however many there are.
In this case it's 27 + 13 + 16 +20 +41 + 9 = 126
126 divided by 6 = 21 so that's your answer.
Since another patient arrived we need to do 126 + 84 = 210. We need to remember that we have 7 patients now so we are going to do,
210 divided by 7 = 30.
Lastly, out of all the ages only 2 are over 30. The patient who is 41 and the new patient who is 84.
Hope that helps. x
Consider this equation.
cos(0) = 4/41
If 0 is an angle in quadrant IV, what is the value of sin(0)
Answer: sin(0) = 40.804/41
Step-by-step explanation:
Write the word sentence as an equation. Then solve.
Five more than a number c is −9.
Step-by-step explanation:
So we are given that the number we are looking for is \(c\). The problem says, "five more than a number". So, \(c+5\). 'Is' typically means equals.
\(c+5=-9\)
Then we can solve for \(c\).
\(c+5=-9\\c=-14\)
Hope this helps!
Solve the equation. 5/7p - 2/7p + 12 = 6
Answer:
p = -14
Step-by-step explanation:
5/7p - 2/7p + 12 = 6
Combine like terms
3/7 p +12 = 6
Subtract 12 from each side
3/7p + 12-12 = 6-12
3/7p = -6
Multiply each side by 7/3
7/3 * 3/7p = -6*7/3
p = -14
Answer:
p = - 14
Step-by-step explanation:
5/7p - 2/7p + 12 = 6
subtract 12 both sides
5p/ 7 - 2p/7 + 12 = 6 - 12
simplify
5p/7 - 2p/7 = -6
multiply both side by 7
5p/7 * 7 - 2p/7 * 7 = -6 * 7
simplify
5p - 2p = -42
p = -42 / 3
p = - 14
Summarizing allows you to focus on the important information by finding the introduction, topic sentence and
conclusion.
Please select the best answer from the choices provided
True or false
True. Summarizing allows you to focus on the important information by finding the introduction, topic sentence and conclusion.
Importance of summarySummarizing is a technique that helps to distill the main points of a text by identifying the introduction, topic sentence, and conclusion. It involves condensing the information to focus on the most important aspects and omitting unnecessary details.
This process enables the reader to grasp the core message of the text quickly and efficiently.
By summarizing, one can communicate the key ideas in a concise and clear manner, making it easier for others to understand and engage with the information presented.
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Functions pls help will give brainlest
Answer:
See below
Step-by-step explanation:
1) put in -6 where 'x' is to get y = 7
2) There is only one value of 'y' for every value of 'x' <===function
3) Put in 2 where 'x' is to get y = 20
4) Function
Indigo went shopping for a new pair of sneakers. Sales tax where she lives is 3.75%. The price of the pair of sneakers is $20. Find the total price including tax. Round to the nearest cent.
Step-by-step explanation:
price=$20tax rate=$3.75multiply the price with rate and you will get tax the add it to the real pricetotal price incl. tax= 20+(20*3.75/100)=20.75there is your answer...The total price of sneakers including tax will be equal to $20.75.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given information in the question,
Price of sneakers = $20
Tax on sneakers = 3.75%
Then, the amount of tax will be,
(20 × 3.75)/100
= 75/100
= $0.75
Then, the total price of the sneakers will be,
$20 + $0.75
= $20.75
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A bucket contains six white balls and five red balls. A sample of four balls is selected
at random from the bucket, without replacement. What is the probability that the
sample contains...
Exactly two white balls and two red balls?
At least two white balls?
To solve this problem, we can use the formula for probability:
P(event) = number of favorable outcomes / total number of outcomes
First, let's find the total number of outcomes. We are selecting 4 balls from 11 without replacement, so the total number of outcomes is:
11C4 = (11!)/(4!(11-4)!) = 330
where nCr is the number of combinations of n things taken r at a time.
Now let's find the number of favorable outcomes for each part of the problem.
Part 1: Exactly two white balls and two red balls
To find the number of favorable outcomes for this part, we need to select 2 white balls out of 6 and 2 red balls out of 5. The number of ways to do this is:
6C2 * 5C2 = (6!)/(2!(6-2)!) * (5!)/(2!(5-2)!) = 15 * 10 = 150
So the probability of selecting exactly two white balls and two red balls is:
P(2W2R) = 150/330 = 0.45 (rounded to two decimal places)
Part 2: At least two white balls
To find the number of favorable outcomes for this part, we need to consider two cases: selecting 2 white balls and 2 red balls, or selecting 3 white balls and 1 red ball.
The number of ways to select 2 white balls and 2 red balls is the same as the number of favorable outcomes for Part 1, which is 150.
To find the number of ways to select 3 white balls and 1 red ball, we need to select 3 white balls out of 6 and 1 red ball out of 5. The number of ways to do this is:
6C3 * 5C1 = (6!)/(3!(6-3)!) * (5!)/(1!(5-1)!) = 20 * 5 = 100
So the total number of favorable outcomes for selecting at least two white balls is:
150 + 100 = 250
And the probability of selecting at least two white balls is:
P(at least 2W) = 250/330 = 0.76 (rounded to two decimal places)
Complete the following
Answer:
answer for this is 12 and for b is 5
Answer:
12/20 I think since you would multiply 5 by 4 so you would multiply 3 by 4. Hope this helps!☺️
i will love you if u please answer this question PLSS
Answer:
On the dive boat deck
Step-by-step explanation:
This is above the water level and water level is considered to be 0
pls love me <3
Yolanda's credit card has an APR of 16 22% and a billing cycle of 30 days. The table below shows her transactions
with that credit card in the month of November
Amount ($) Transaction
Find Yolanda's finance charge in November using the previous balance method the adjusted balance method, and
the daily balance method. Among those three possible finance charges what is the value of the one which is neither
lowest nor highest?
A.$1253
B.$1159
C.$1205
D.$10.91
Answer:
$11.59
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
I Really Need Help with this not good with graphs
Answer:
D
Step-by-step explanation:
The one dot that is a lot farther away from the rest of the points is an outlier so the answer is D.
Given the 8-sided figure below with exterior angle measures as shown, what is the value of
X?
A: x = 125°
B: x = 105°
C: x = 55°
D: x = 148°
Answer:
I believe the answer would be 55 degrees.
Step-by-step explanation:
Add together all the given angles then subtract that total from 360.
In a shopping mall there are 30 stands selling clothes, which accounts for 1/3 of the total stands. How many stands are there?
Answer:
90 stands
Step-by-step explanation:
1/3 x 3 = 1.
30 x 3 = 90.
The answer is 90. I hope this helps!
If triangles ABC and DEF are similar, what is y? Show your work.
The value of y is 18
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.
Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.
Therefore;
14/21 = 12/y
14y = 21 × 12
14y = 252
divide both sides by 14
y = 252/14
y = 18
Therefore the value of y is 18.
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How much should be deposited in an account paying 4.5% interest, compounded semiannually, in order to have a balance of $ 5,000 after 19 years and 6 months?
*Enter the answer in dollars and cents, and round to the nearest cent, if needed. Do not include the dollar sign. For example, if the answer is $0.61, only the number 0.61 should be entered.*
Principal ≈ $ ____________
The suitable for blank is 2099.43 approximately.
Let the principle be P.
Time (t) = 19 years and 6 months = 19.5 years
Compound is semiannually.
Rate of Interest (r) = 4.5%
Amount will be (A) = $5000
So, suitable equation is given by,
\(A=P\left(1+\frac{r}{200}\right)^2t\\5000=P\left(1+\frac{4.5}{200}\right)^{2\times19.5}=P\left(1+\frac{9}{400}\right)^{39}\\\\P\approx2099.43\)
Hence the suitable for the blank is 2099.43.
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The table shows the amount of money that Sarah charges customers to sell newspapers. The table represents a linear functions.
Question 10 options:
Sarah charges $5 before she begins selling newspapers
Sarah does not charge her costumers unless she has sold newspapers for at least 2 hours
Sarah charges $5 an hour to sell newspapers
Sarah earns 7$ for 1 hours of work
Figured it out, It's the 1st answer, Sarah charges $5 before she begins
The linear function y = 2x + 5 shows that Sarah charges $5 as fixed amount before she begins selling newspapers.
The table representing amount of money which Sarah charges her customers to sell newspapers.
Let us consider 'x' represents the time per hour charges taken by Sarah from customers.
In the table,
For zero hours charges are $5.
It means Fixed charges taken by Sarah to sell newspaper.
Difference between the rate per hour is,
$7 - $5 = $2
$9 - $7 = $2
It represents for Sarah charges $2 per hour.
let us consider 'y' that represents total amount charges by Sarah.
Required linear function for selling news paper and charging amount is
y = $5 + 2x
⇒ y = 2x + 5
Therefore, the linear function y = 2x + 5 represents option 1. Sarah charges $5 before she begins selling newspapers.
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Please help! I dont get how to get the answer
The value of angle x in the triangle is 15°
How to find the value of x in the triangle?Given: the triangle ABC with equal sides of 9 units.
Since the triangle has equal sides, it will also have equal angles (i.e. it is an equilateral triangle).
Thus, <A = <B = < C = 4x°
Since the sum of angles in a triangle is 180°. We have:
<A + <B + < C = 180°
4x + 4x + 4x = 180°
12x = 180
x = 180/12
x = 15°
Therefore, the value of x is 15°
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Dylan and Eric were the lead scorers in a basketball game. Dylan scored p points in the second period of the game. Eric scored as many points as Dylan in the same period of the game. a) Write an expression for Eric's score in terms of p. points b) If Dylan scored 18 points in the second period, how many points did Eric score?
I think the answers 3048_&8_9_)_)_
Caitlin has 9 3/8 feet of red yarn and
5 5/8 feet of purple yarn. How much more
red yarn does Caitlin have than purple
yarn?
Caitlin has 3 3/4 feet more of red yarn than purple yarn.
To find out how much more red yarn Caitlin has compared to purple yarn, we need to subtract the length of the purple yarn from the length of the red yarn.
Given:
Red yarn: 9 3/8 feet
Purple yarn: 5 5/8 feet
To subtract mixed numbers, we need to convert them to improper fractions.
9 3/8 = (8 * 9 + 3)/8 = 75/8
5 5/8 = (8 * 5 + 5)/8 = 45/8
Now, we can subtract the fractions:
75/8 - 45/8 = (75 - 45)/8 = 30/8
Simplifying the fraction, we get:
30/8 = 15/4 = 3 3/4
Therefore, Caitlin has 3 3/4 feet more of red yarn than purple yarn.
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A garden table and a bench cost 670 combined. The garden table costs 80 less than the bench. What is the cost of the bench?
The bench costs $375, and the garden table costs $295. Together, they amount to $670, with the table being $80 cheaper than the bench.
Let the cost of the bench be x. Then the cost of the garden table is x-80. The sum of the costs of both items is $670. So we have the equation: x + (x-80) = $670.
Simplifying this, we get 2x - 80 = $670 + 80 2x = $750 x = $375. So the cost of the bench is $375. The garden table costs $375 - $80 = $295. A garden table and a bench cost $670 combined.
The garden table costs $80 less than the bench. To find the cost of the bench, we can use algebraic equations. Let the cost of the bench be x. Then, the cost of the garden table is x - 80.
The sum of both costs is $670. Using this information, we can form an equation: x + (x - 80) = $670. Simplifying, we get 2x - 80 = $670 + 80. Solving for x, we get x = $375.
Therefore, the cost of the bench is $375, and the cost of the garden table is $295.
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Which expression is equivalent to StartRoot 8 x Superscript 7 Baseline y Superscript 8 Baseline EndRoot? Assume x greater-than-or-equal-to 0.
x y squared StartRoot 8 x cubed EndRoot
2 x cubed y cubed StartRoot x y squared EndRoot
2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot
4 x cubed y Superscript 4 Baseline StartRoot x EndRoot
The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.
To understand why this is the case, let's break down each expression and simplify them step by step:
StartRoot \(8 x^7 y^8\) EndRoot:
We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.
Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.
(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:
Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.
Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.
Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.
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Which answer shows shows the equation below written in different forms 9-3=6
The equatiοn 9 -3 = 6 can be written in different fοrms, but the correct one is 9 = 3 + 6.
Are expressiοns cοnsidered equatiοns?Every cοmbinatiοn οf a number, a variables, and οperatiοn symbοls is cοnsidered an expressiοn. An equatiοn is created by cοmbining twο expressiοns and jοining them with the equal sign.
Cοnditiοns οn the parameters are fοund in simple equatiοns. It is clear frοm an equatiοn that the answer οn the left and right are equivalent. The expressiοn tο the left οf the symbοl "=" is the LHS, while the expressiοn tο the right is the RHS. With the fοrm y = "sοme expressiοn invοlving x," a sοlutiοn invοlving x and y can be expressed, such as y = f. ( x). This final statement, which may be interpreted as "y equals f οf x," denοtes that y is a cοefficient οf x.
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Complete question:
Which answer shows the equation 9-3=6 below written in different forms?
6 + 3 = 9, 9 = 3 + 6, 9 - 6 = 3, 3 = 9 - 6URGENT!!!
I REALLY NEED HELP WITH MY MATH
Answer:
1. The first one
and
2. the last one
Step-by-step explanation:
The first one because,
-9(2/3x)=-6, and thats the same in the question. As well as the -9x1
The last one because,
-9(2/3x+1)=
-6x - 9
because, negative 9 times positive 1 will be negative 9.
so it will be:
-6x - 9
I hope this helped :)
Three assembly lines Alpha, Beta, and Gamma make the same power transistor. Each of the assembly lines has its own level of efficiency. Resulting in inventory having 20% of the transistors from Alpha, 50% from Beta, and the remaining 30% from Gamma. Further the probability a transistor from Alpha will be defective is 0.02, a transistor from Beta will be defective is 0.06, and a transistor from Gamma will be defective is 0.04. If a random transistor from inventory is defective, what is the probability it came from Bet
Answer:
P [ β / Def] = 0,6521 or 65,21 %
Step-by-step explanation:
Tree diagram:
0,20 (α) Defective 0,02
0,50 (β) defective 0,06
0,30 (γ) defective 0,04
According to Baye´s Theorem
P [ A/B] = P[A] * P [ B/A] / P[B]
if we call
β = A and Defective = B then P[β] = P[A] and P[Defective] = P[B]
we get :
P [ β / Def] = P[β] * P [ def./β] / P[def]
Then
P[β] = 0,5
P[def/β] = 0,06
P [Defective] = 0,02* 0,2 + 0,06*0,5 + 0,04*0,3
P [Defective] = 0,004 + 0,03 + 0,012
P [Defective] = 0,046
P [ β / Def] = 0,5 * 0,06 / 0,046
P [ β / Def] = 0,6521 or 65,21 %
The area of a circle is 36π centimeters. What is the circumference of a circle in terms of π.