The pair of shoes shown had a sale price of $76.50. What was the retail price?
Answer:
So i cant help atm but if you put how many percent the sale was on i can help u
Step-by-step explanation:
How much would $400 be worth after 16 years, if it we’re invested at 3% interest compounded annually? (Use the formula below and round your answer to the nearest cent.)
The amount compounded after 16 years is $641.88. Therefore, option D is the correct answer.
What is the compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
The formula used to find the compound interest = \(A=P(1+\frac{r}{100})^{nt}\).
Given that, principal =$400, time period = 16 years and the rate of interest = 3%.
Here, Amount =400(1+3/100)¹⁶
= 400(1.03)¹⁶
= 400×1.605
= $641.88
Therefore, option D is the correct answer.
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The average score of students in the first group is 39, the second group is 32, and the third group is 43. If the numbers of students in the three groups are 24, 26, and 27, respectively, find the average score of all students.
The average score of all students, calculated by taking a weighted average based on the number of students in each group, is 38. The overall performance is slightly below the group averages.
The average score of students in the first, second, and third groups are 39, 32, and 43, respectively. There are 24 students in the first group, 26 students in the second group, and 27 students in the third group.
To find the average score of all students, we need to take a weighted average of the scores in each group, with the number of students in each group as the weights.
Here's how to do it: First, we calculate the total number of students:24 + 26 + 27 = 77. Then, we calculate the total score across all students: 39*24 + 32*26 + 43*27 = 936 + 832 + 1161 = 2929
Finally, we divide the total score by the total number of students to get the average score:2929/77 = 38. The average score of all students is 38.
This means that the overall performance of all the students is slightly below the average of the scores in each group.
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Use similarity to solve for the length of side XY. Round to the nearest tenth.
Answer:
5.1
Step-by-step explanation:
Now you're going to imagine that you invested $1,000 in a company one year ago, and you want to see how well your investment would be doing today.
To begin, choose a company that you're familiar with and that seems as if it might be a good investment - that is, a company that you think will have rising stock prices. Think about companies that you use or know are popular Remember, not all companies are public companies. You'll need to check the New York Stock Exchange to find out if you can actually buy shares in this company Once you've settled on a company, find its stock price from one year ago and for today Write a journal entry about your imagined investment Answer the following questions as you write
1.) What stock did you buy?
2.) Why did you think buying this stock would be a good idea?
3.) How much would you have made or lost on an investment of $1,000?
(Hint First find out how many shares you could've bought one year ago by dividing $1,000 by the price of the stock one year ago today. You may have to estimate the stock price from the graph Round the number of shares to the nearest whole number. Then, find out the current value of your shares by multiplying the number of shares you bought by the price of the stock today Compare that to your initial investment of $1,000)
4.) Could you have made more money by selling sooner?
Answer:
Step-by-step explanation:
1. What stock did you buy?
Apple Inc.
2. Why did you think buying this stock would be a good idea?
Apple products are becoming more and more popular every day. The company is always introducing new and exciting devices. I knew it would be a safe choice to invest in.
3. How much would you have made or lost on an investment of $1,000?
I would have made $105.
Hint: First find out how many shares you could've bought one year ago by dividing $1,000 by the price of the stock one year ago today. You may have to estimate the stock price from the graph. Round the number of shares to the nearest whole number. Then, find out the current value of your shares by multiplying the number of shares you bought by the price of the stock today. Compare that to your initial investment of $1,000.
4. Could you have made more money by selling sooner?
Yes, on October 3, 2018 it was at its peak for the year.
your investment would be doing great today. you would make $115 from the given investment.
What are Stocks?A stock usually referred to as equity, is a type of investment that denotes ownership in a portion of the issuing company. Shares, also known as units of stock, entitle their owners to a share of the company's assets and income in proportion to the number of shares they possess.
Given, you're going to imagine that you invested $1,000 in a company one year ago
I will buy the stocks of amazon.The popularity of Amazon products is rising daily. The business frequently introduces cutting-edge technology. I was confident that it would be a secure investment.I would have made $115.Hint: To start, divide $1,000 by the stock's current price, one year ago, to see how many shares you might have purchased. It can be necessary to infer the stock price from the graph. The number of shares should be rounded up to the next whole number. Then, multiply the number of shares you purchased by the stock's current price to determine the share's current worth. Contrast that with your $1,000 original investment.on September 5, 2022, it was at its peak for the year.Therefore, Today, your investment would be flourishing. Your return on the stated investment would be $1,115.
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Vaca books has a net profit margin of 5.1 percent, a total asset turnover of 1.84, and a return on equity of 16.2 percent. what is the debt-equity ratio?
The debt-equity ratio is 0.726 : 1 or 72.64%
What is the Debt?Debt is the product of debt ratio and total equity
Debt = debt ratio × total equity
We have been given that
Asset turnover = 1.84
Profit margin = 5.1%
Return on equity of 16.2 percent
Let we have to assume that sales are $100.
Therefore net Income = 100×0.051 = 5.1
Total Assets = 100/0.84
Total Assets = 54.35
⇒ 0.162 = 5.1 / Total equity
⇒ Total Equity = 5.1 / 0.162
⇒ Total Equity = 31.48
Total assets = Total debt + Total equity
⇒ 54.35 = Total debt + 31.48
⇒ Total debt = 54.35 - 31.48
⇒ Total debt = 22.87
The debt-equity ratio = 22.87 / 31.48
The debt-equity ratio = 0.72649 : 1 or 72.649%
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An even number is divisible by 2.
if - then :
hypothesis:
conclusion:
Answer:
A logical sentence is written as:
If P, then Q.
Where:
P = hypothesis
Q = conclusion.
For this particular case, we know that a number is even only if the number is divisible by 2.
Then we can write:
if a number is divisible by 2, then it is an even number.
Here we have:
hypothesis = a number is divisible by 2.
conclusion = the number even.
Neal prepared 3 meals each day. He prepared 27 meals in all. What equation represents the number of days
Neal prepared meals?
( 27 x3 = n
3x n = 27
n = 27 = 3
3=n=27
Answer:
3xn=27
Step-by-step explanation:
n=days
3 per day
per=multiply
3xday
3 x n
27 total so
3 x n=27
Answer:
3x n=27
Step-by-step explanation:
This is a multiplication problem involving a total of 27, which only applies to option 2.
Option 1 does not =27, option 3 and 4 are not multiplying
natalie is paid 42 more per hour than travis. when natalie works for 40 hours and travis works for 35 hours, they earn $755 between them. how much does each earn per hour?
Using Linear equation we get , Travis and Natalie's combined hourly wages are $135 and $137.
Combined Natalie earns $2 more an hour than Travis.
Natalie works 40 hours
Travis works 35 hours
for his or her work Salary difference = $755
we have to find out what percentage each of them contributes per hour.
Let Travis earn in dollars per hour = x
So if he works 35 hours his earnings in dollars
= 35x
Natalie can earn in dollars per hour = x+2
So If she works 40 hours, her income will be in dollars = 40x + 80 [use distribution]
The income difference will be:
⇒ 40x + 80 -35x = 755
=> 5x = 675 => x = 135
So Travis' hourly rate = $135
Natalie's hourly rate = 135+2= $137
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Slope intercept equation
joe buys groceries for his grandfather the groceries cost $42 plus 5% tax joe wants to know the total cost of the groceries including tax how much sales tax does joe pay on the groceries
its on iready
====================================================
Work Shown:
5% = 5/100 = 0.05
5% of 42 = 0.05*42 = 2.10
tax = $2.10
total cost including tax = $42 + $2.10 = $44.10
----------
An alternative is to multiply 42 by 1.05 to get
1.05*42 = 44.10
We get the same answer. The 1.05 refers to 1 + 0.05 where the "1" is 100% and the 0.05 is 5%, so the two combine to 105%, meaning the total cost is 105% of the cost before tax is considered.
A line has a slope of
1
4
and passes through the point (0.2,
4
5
).
Find the value of b, the y-intercept.
b =
Answer:
0.75
Step-by-step explanation:
Hope this helps.
Answer: 0.75 edge 2021
Please help :( I don't quite understand...
Step-by-step explanation:
For Part A, use the function f(x) to find the average of tests taken.
X is number of test taken
f(x) is the average score given said num of tests taken,x,
We want after test number 3 so using the function,
\(f(x) = 0.2x + 79\)
Plug in. 3 for x, and we will get our answer.
\(f(3) = 0.2(3) + 79 = 79.6\)
Part B: Use the table for the answer.
When 2 test are taken, the average test score is
84
So part B is 84.
Part C:
\(f(2) = 0.2(2) + 79 = 79.4\)
\(g(2) = 84\)
Since
\(g(2) > f(2)\)
The science class had a higher average after 2 tests
Answer:
you shoulda payed attention in class
Step-by-step explanation:
also u know it's bad when the test is so hard you can't even cheat on it
whats 78,563 divided by 98
Ty for whoever helps me <3
Answer:
801.66
Step-by-step explanation:
calculator
Answer:
801.6632653061
Step-by-step explanation:
.......
a shipment of 16 televisions contains 7 regular and 9 deluxe models. the manufacturer failed to mark the model designation on the cartons. if 4 cartons are selected at random, what is the probability that exactly 3 of them are the deluxe model? (round your answer to three decimal places.)
If 4 cartons are selected at random, the the probability that exactly 3 of them are the deluxe model is 0.3231.
A shipment of 16 televisions contains 7 regular and 9 deluxe models.
The manufacturer failed to mark the model designation on the cartons.
If 4 cartons are selected at random, then we have to find the probability that exactly 3 of them are the deluxe model.
Now 4 cartons selected at random from 16 cartoons of televisions can be selected in ways = \(^{16}C_{4}\)
Now simplifying
4 cartons selected at random from 16 cartoons of televisions can be selected in ways = \(\frac{16!}{4!12!}\\\)
After simplification
4 cartons selected at random from 16 cartoons of televisions can be selected in ways = 1820
Now 3 of them are the deluxe model, can be selected in ways = \(^{9}C_{3}\)
Now simplifying
3 of them are the deluxe model, can be selected in ways = \(\frac{9!}{3!6!}\\\)
After simplification
3 of them are the deluxe model, can be selected in ways = 84
Remaining 1 selected from 7 regular model in ways = \(^{7}C_{1}\)
Remaining 1 selected from 7 regular model in ways = 7
Therefore the probability that exactly 3 of them are the deluxe model = 84*7/1820
The probability that exactly 3 of them are the deluxe model = 0.3231
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a. The probability of contracting a certain virus is 0.02. Find and evaluate numerically, the probability that at least 5 people in population of 200 get the virus.
b. The probability of having a certain gene is .25. Find the probability that in a population of 300, between 70 and 105 have the gene.
c. A fair die is rolled 19 times. Find the probability that the result is either 2 or 3 at least 6 and at most 10 times.
Using the binomial distribution, the probability of at least 5 people in a population of 200 getting a virus with a probability of 0.02 is 0.1237. The probability of between 70 and 105 people in a population of 300 having a gene with a probability of 0.25 is 0.9189. The probability of rolling a 2 or 3 at least 6 and at most 10 times in 19 rolls of a fair die is 0.0065.
This scenario follows a binomial distribution with n=200 and p=0.02, where n is the number of trials and p is the probability of success. We want to find the probability of at least 5 people getting the virus, which can be written as P(X≥5). Using the binomial probability formula, we get:
P(X≥5) = 1 - P(X<5) = 1 - P(X=0) - P(X=1) - P(X=2) - P(X=3) - P(X=4)
Using a binomial probability table or calculator, we can find the probabilities for each value of X:
P(X=0) = 0.9802, P(X=1) = 0.0392, P(X=2) = 0.0012, P(X=3) = 0.00003, P(X=4) = 0.0000006
Therefore,
P(X≥5) = 1 - (0.9802 + 0.0392 + 0.0012 + 0.00003 + 0.0000006) ≈ 0.038
So the probability that at least 5 people in a population of 200 get the virus is approximately 0.038.
This scenario follows a binomial distribution with n=300 and p=0.25. We want to find the probability that between 70 and 105 people have the gene, which can be written as:
P(70≤X≤105) = P(X≤105) - P(X<70)
Using a binomial probability table or calculator, we can find the probabilities for each value of X:
P(X<70) = 0.015, P(X≤105) = 0.999999999999997
Therefore,
P(70≤X≤105) = 0.999999999999997 - 0.015 ≈ 0.985
So the probability that between 70 and 105 people in a population of 300 have the gene is approximately 0.985.
This scenario follows a binomial distribution with n=19 and p=1/3, where p is the probability of getting either 2 or 3. We want to find the probability that the result is either 2 or 3 at least 6 and at most 10 times, which can be written as:
P(6≤X≤10) = P(X≤10) - P(X<6)
Using a binomial probability table or calculator, we can find the probabilities for each value of X:
P(X<6) = 0.778, P(X≤10) = 0.9999
Therefore,
P(6≤X≤10) = 0.9999 - 0.778 ≈ 0.221
So the probability that the result is either 2 or 3 at least 6 and at most 10 times in 19 rolls of a fair die is approximately 0.221.
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Please answer this if you can! (NO EXPLANATION NEEDED!) <3
Answer:
2,4,6,8,10
Step-by-step explanation:
Because the bar never reaches the top, each individual bar is worth 2 each so the scale only works up to 10
Answer:
4,8,12,16,20
Step-by-step explanation:
bottom box 4 then going Upto 2o
X² + 9x + 4 = FACTORISE
Answer:
\($-\frac{1}{4} (-2x-9+\sqrt{65})(2x+9+\sqrt{65})$\)
Step-by-step explanation:
We have a second-degree polynomial:
I will find the roots (y = 0) completing the square:
\($x^2+9x+\frac{81}{4}-\frac{81}{4}+4=0$\)
\($\left(x+\frac{9}{2} \right)^2 -\frac{81}{4} +4 =0$\)
\($\left(x+\frac{9}{2} \right)^2 -\frac{81}{4} +\frac{16}{4} =0$\)
\($\left(x+\frac{9}{2} \right)^2 -\frac{65}{4} =0$\)
\($\left(x+\frac{9}{2} \right)^2 =\frac{65}{4} $\)
\($\left(x+\frac{9}{2} \right)^2 =\pm \sqrt{\frac{65}{4} } $\)
\($x =-\frac{9}{2} \pm \frac{\sqrt{65} }{2} $\)
\($x =\frac{-9 \pm \sqrt{65} }{2} $\)
\($\boxed{x_1 =\frac{-9 + \sqrt{65} }{2}} $\)
\($\boxed{x_2 =\frac{-9 - \sqrt{65} }{2}} $\)
A ladder is placed 8 feet away from the base of a tree. If the ladder forms a 57° angle
with the ground, how high up the tree will the ladder reaach
Answer:
3.88 feet
Step-by-step explanation:
let the length the ladder reaches be x
\( \tan(57) = \frac{x}{8} \)
\(x = 8 \tan(57) \)
x = 3.8775938143
a manufacturer of game controllers is concerned that their controller may be difficult for left-handed users. they set out to find lefties to test. about 13% of the population is left-handed. if they select a sample of five customers at random in their stores, what is the probability that the first lefty is the fifth person chosen.
The required probability that the first lefty is the fifth person chosen is 0.074.
What is probability?Probability is tied in with assessing or working out how likely or 'plausible' something is to occur. The opportunity of an occasion happening can be depicted in words, for instance 'certain', 'unimaginable' or 'probable'. In math, probabilities are constantly composed as portions , decimals or rates with values somewhere in the range of 0 and 1.
According to question:Probability of being left given = 0.13
Probability of being not left given = 1-0.13 =0.87
They select an example of five clients at irregular in their stores
So,
a). The main lefty is the fifth individual picked
Then,
Probability that first lefty is the fifth individual picked =
0.87×0.87×0.87×0.87×0.13 = 0.074
Thus, required probability is 0.074.
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given that the point p(−8, 5) lies on the line kx 3y 57 = 0, find k.
The value of k in the equation kx + 3y - 57 = 0 is 5.25.
To determine k in the equation kx + 3y - 57 = 0, you need to use the point (−8, 5) that lies on the line.
To find the value of k, substitute the coordinates of point p into the equation, then solve for k by combining like terms. So,
we have
kx + 3y - 57 = 0
Rewriting the equation as; k(-8) + 3(5) - 57 = 0
Simplifying; -8k + 15 - 57 = 0
Add the constants on the left side; -8k - 42 = 0
Solve for k by adding 42 to both sides; -8k = 42k = -42/(-8)
Therefore, k = 5.25
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A person hikes 4 miles in 2.5 hours. Then find the unit rate in hours per mile. 29 POINTS IF YOU ANSWER- PLEASE IM BEGGING
RESPOND IN FULL DETAIL ------- NOTE (IT IS NOT 1.6 MILES PER HOUR) THEIR ASKING FOR HOURS PER MILE!!!!!!!!
A=1/2bh how do i solve for h
Answer:
(2A)/b=h
Step-by-step explanation:
Fill in the variable A and B and simplify and you will have h.
Solve for all values of x by factoring.
x² - 6x = -6x +4
Answer:
x=2 and x=-2
Step-by-step explanation:
Original Equation:
\(x^2-6x=-6x+4\\\)
Add 6x to both sides
\(x^2=4\)
Subtract 4 from both sides
\(x^2-4=0\)
Use difference of squares: \(a^2-b^2=(a-b)(a+b)\)
\((x-2)(x+2)=0\)
Since the factors are being multiplied by each other, if one of the factors is equal to zero, then the entire thing becomes zero, since 0 * anything = 0
So to find the values of x that satisfy this equation, set each factor equal to zero
\(x-2=0\)
Add 2 to both sides
\(x=2\)
\(x+2=0\)
subtract 2 from both sides
\(x=-2\)
We have both values that satisfy this equation, x=2 and x=-2
miras kitchen sink holds up to 103.468 liters of water. round this amount to the nearest liter
Answer:
Step-by-step explanation:
Whole numbers
If the decimal is point 5 or greater you can round up.
If the decimal is less that point five you round down.
So your answer is 103
If you want to go to the nearest tenth
if the decimal is greater than 0.05 you round up
if the decimal is less than 0.05 you round down
If want the number to be to the nearest tenth and that's what you have, you leave it alone.
Question 1 of 6 What number completes the sequence below? Enter your answer b 9 12 15 18 11 14 17 20 ?
Answer:
23
Step-by-step explanation:
9+3=12, 12+15=18, 11+3=14, 14+3=17, 17+3=20, 20+3=23
which equation represents the line through (4,5) and (0,-3)
A. y = 2x + 3
B. y = 2x - 3
C. y = -2x - 3
D. y = -2x + 3
The linear equation that represents the line that passes through the points (4,5) and (0,-3) is given by:
B. y = 2x - 3
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The line passes through (0,-3), that is, when x = 0, y = -3, hence the y-intercept is of b = -3.
The slope is given by the change in y divided by the change in x, hence:
m = (5 - (-3))/(4 - 0) = 2
Hence the equation is:
y = 2x - 3.
Which means that option B is correct.
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The AID Parcel Service wants to build a new distribution center in Charlotte. The center needs to be in the vicinity of Inerstate-77 and Intersatate-85 interchanges, and the Charlotte International Airport. The coordinates of these three sites and the number of weekly packages that flow to each are as follows:
I-77 I-85 Airport
X=16 X=35 X=40
Y=28 Y=10 Y=18
W=26,000 W=12,000 W=10,000
Determine the best site location using the center-of-gravity technique
Subject - Logistics management
Using the center-of-gravity technique, the best site location for the new distribution center in Charlotte is determined to be at coordinates (X, Y) = (27.92, 19.08).
The center-of-gravity technique is used to find the optimal location for a facility based on the distribution of demand. In this case, we will calculate the weighted average of the coordinates (X, Y) of the three sites, with the weights being the number of weekly packages flowing to each site.
To calculate the X-coordinate of the center of gravity, we use the formula:
Xc = (X1 * W1 + X2 * W2 + X3 * W3) / (W1 + W2 + W3)
Similarly, for the Y-coordinate:
Yc = (Y1 * W1 + Y2 * W2 + Y3 * W3) / (W1 + W2 + W3)
Substituting the given values:
Xc = (16 * 26000 + 35 * 12000 + 40 * 10000) / (26000 + 12000 + 10000) ≈ 27.92
Yc = (28 * 26000 + 10 * 12000 + 18 * 10000) / (26000 + 12000 + 10000) ≈ 19.08
Therefore, the best site location for the new distribution center in Charlotte is approximately at coordinates (X, Y) = (27.92, 19.08) based on the center-of-gravity technique.
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The probability a d-link network server is down is 0.10. if you have three independent servers, what is the probability that at least one of them is operational?
The probability that at least one of them is operational is 0.999
Probability:
Probability means the possibility of happening the particular event. So, it can be written as the fraction of possible event by the total number of event.
Given,
The probability a D-Link network server is down is 0.10.
Here we need to find if you have three independent servers, what is the probability that at least one of them is operational.
Let D be an event that a D-Link network server is down.
It is given that the probability that a D-Link network server is down is
=> P(D) = 0.10
The number of independent servers
=> (n) = 3
The probability that none of the servers is working is
=>P(None) = P(D) x P(D) x P(D)
=> P(None) = 0.10 x 0.10 x 0.10
=> P(None) = 0.001
The probability that at least one of them is operational is given as
=> 1 - P(None)
=> 1 - 0.001
=> 0.999
Therefore, the probability that at least one of them is operational is 0.999.
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a cake recipe calls for 472 ml of milk. you dont have a metric measuring cup at home, so you need to convert milliliters to cups. you know that 1 l equals 1.06 quarts and that there are 4 cups in 1 quart. how many cups of milk will you need to use
Number of cups of milk that will you need to use is 2.001 cups
Total quantity of milk needed for the cake = 472 milliliter
we know
1 liter = 1.06 quarts
1 quart = 4 cups
Convert the given quarts to cups
Then 1.06 quarts = 4 × 1.06
Multiply the numbers
= 4.24 cup
Here the total quantity of milk needed for the cake is 472 milliliter
We have to use the unitary method here
1 liter = 4.24 cups
472 milliliter = 4.24 × 0.472
Multiply the numbers
= 2.001 cups
Therefore, he need 2.001 cups of milk to make a cake
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