Answer:
$1,018.39
Step-by-step explanation:
Interest formula is I = Prt/100
where P = principal
r = interest rate (in percent)
t = number of time periods
Here we have P = 740
interest = 0.66% per day
t = 57 days
I = 740 x 0.66 x 57 /100 = 278.39 (rounded)
Total amount to pay back = 740 + 278.39 = $1,018.39
Please help what’s the answer??
Answer:
Its correct answer is sin65°/125.
The product of three consecutive integers is 210. What is their sum?
Answer:
3 consecutive no.s are
5×6×7=210
sum of them is= 5+6+7
=18
So, I hope. it helps !!
a side of a square is 83/2 inches. using the formula A=s^2 determine the area of a square
Answer:
47
Step-by-step explanation:
Please Help Me!!! √36/169 = ?
Answer:
Step-by-step explanation:
0.03550295857
can someone post the back of the paper on Quiz 3-1 Parallel Lines, Transversals, and Special Angle Pairs
The following statements are true:
Segment DEF is parallel to ABC
The line segment AB is parallel to DE
Line FC is parallel to AD
the line that is skewed to DE is BC
What is geometry?One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.
The given diagram is a triangular prism. From the diagram, some of the sides are parallel to each other (that is facing each other directly)
Some of the lines are also parallel to each other. From the given diagram, the sides that are parallel to each other are;
DEF is parallel to ABC
CADF is parallel to CBEF
For the lines, the lines that are parallel to each other are:
AD is parallel to BE
AB is parallel to DE
FC is parallel to AD
Skew lines are straight lines that do not intersect and are not in the same plane. Hence the line that is skewed to DE is BC
The missing image is attached with the answer below.
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Gabe is the human resources manager for the Advanced Scientific Research Lab. He has to record
the heights (in centimeters) and weights (in pounds) for each of the scientists in the lab.
Height distribution (cm): 178, 163, 174, 186, 154, 167, 167, 181, 159, 165, 177, 191, 158
Weight distribution (lbs): 157, 163, 190, 187, 183, 173, 184, 189, 193, 192, 177, 173, 168
What is the shape of the height and weight distribution?
Last option: The height and weight distributions, respectively, show positive and negative skews.
We know that,
Graphs are used to represent information in bar charts. To depict values, it makes use of bars that reach various heights. Vertical bars, horizontal bars, clustered bars (multiple bars that compare values within a category), and stacked bars are all possible options for bar charts.
we have,
There isn't a lot of data, but it shows that the weights have a negative skew and the heights have a positive skew, with the long tails pointing in opposite directions.
change/ starting point * 100
2.5 millions of books were sold in 1991.
Millions of books sold in 1992 equaled 3.4.
Change = 0.9 (in millions).
0.9/2.5 * 100
= 36%
The height and weight distributions, respectively, show positive and negative skews.
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5 green marbles 5 red marbles 10 yellow marbles
What is the probability that the first marble is not yellow and the second one is a yellow
Answer:
5/19
Step-by-step explanation:
Marbles=20
So the probability of choosing not yellow is 10/20=1/2.
Marbles are not replaced.
The total number is 19
The probability of choosing yellow is 10/19
So the final answer is (1/2)*(10/19)=5/19.
hope this helps
If m∠AED = 35°, what is m∠ABC?
The measure of angle ABC is given as follows:
m < ABC = 145º.
What are supplementary angles?Two angles are defined as supplementary angles when the sum of their measures is of 180º.
In a parallelogram, we have that the opposite angles are supplementary.
The opposite angles for this problem are given as follows:
<AED.<ABC.Hence the measure of angle ABC is given as follows:
m < ABC + 35º = 180º.
m < ABC = 145º.
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Which statement accurately describes the vector shown?
Answer:
magnitude of √61 and a direction angle equal to approximately 40°
Step-by-step explanation:
I inserted the x,y axis into a vector calculator to get the magnitude and angle :D
The magnitude of the vector is √61 and the direction of the angle is 40 degrees option (C) magnitude of √61 and a direction angle equal to approximately 40° is correct.
What is a vector?It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.
We have a vector shown in the picture.
The coordinate of the vector are:
The tail coordinate = (0, 0)
The head coordinate = (6, 5)
We can find the magnitude of the vector using the distance formula:
The distance formula can be given as:
\(\rm M=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
\(\rm M=\sqrt{(6-0)^2+(5-0)^2}\)
M = √61
The direction of the angle:
tanA = 5/6
tanA = 0.8333
A =39.80 ≈ 40 degrees
Thus, the magnitude of the vector is √61 and the direction of the angle is 40 degrees option (C) magnitude of √61 and a direction angle equal to approximately 40° is correct.
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Tina sends 12 text messages each day in June. A mobile phone company offers two packages. Package A: The first 100 texts each month cost 3 paisa each, the second 100 texts cost 2p each and after this the cost of each text is 1paisa. Package B: All texts cost 2paisa. Which package offers her the better value for money in 30 days? Justify your answer.
Two options are given to Tina. We find how much she pays for each option, and the one in which she pays less offers the better value.
Tina sends 12 text messages each day in June
June has 30 days, so in June, Tina sent 12*30 = 360 text messages.
Package A:
First 100 messages cost 3p, the next 100 cost $2 and after that each costs $1.
She sends 360 messages, with:
The first 100 costing 3p.
The next 100 costing 2p.
The final 360 - 200 = 160 costing 1p.
She pays:
\(100*3 + 100*2 + 160*1 = 660\)
Package B:
2p for each message, 360 messages, so:
360*2p = 720p.
Which package is better?
Package A costs less, thus, it offers her the better value for money in 30 days.
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Brainliest for correct awnser
Which of the following lists of ordered pairs is a function?A.(1, 1), (2, 3), (1, 5), (4, 7)B.(0, 2), (4, 2), (0, –4), (4, –2)C.(2, 4), (3, 9), (4, 16), (5, 25)D.(2, 4), (–2, 4), (3, 9), (–2, –4)
Solve the following equations:
a)
4b = 20
Answer:
b = 5
Step-by-step explanation:
You want to get b on one side alone so you divide by 4.
20 divided by 4 is 5.
Answer:
b = 5
Step-by-step explanation:
4b = 20
Whatever we do to one side of the equation, we have to do to the other.
To "isolate the variable", or get "b" by itself, we have to divide both sides by 4
4b divided by 4 is b, since "4b = 4 times b"
20 divided by 4 is 5
4b = 20
b = 5
1/4a-3=1/4a(a-?) I need to finish this quick can someone repy fast!
Answer:
12
Step-by-step explanation:
Factoring out a 1/4 from 1/4a - 3, you get 1/4 (a - 12) as 12 * 1/4 = 3. Thus, ? = 12.
A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days:
f(n) = 10(1.02)n
Part A: When the scientist concluded his study, the height of the plant was approximately 11.04 cm. What is a reasonable domain to plot the growth function?
Part B: What does the y-intercept of the graph of the function f(n) represent?
Part C: What is the average rate of change of the function f(n) from n = 1 to n = 5, and what does it represent?
The average rate of change of the function from n = 1 to n = 5 is 3.36 plants per day
The reasonable domainThe function is given as:
f(n) = 10(1.02)^n
The maximum height is 11.04
So, we have:
10(1.02)^n = 11.04
Divide by 10
1.02^n = 1.104
Take the log of both sides
n * log(1.02) = log(1.104)
Divide by log(1.02)
n = 5
Hence, the reasonable domain is 0 ≤ n < 5
The y-interceptWe have:
f(n) = 10(1.02)^n
Set n to 0
f(0) = 10(1.02)^0
Evaluate
f(0) = 10
Hence, the y-intercept is 10
The average rate of changeWe have:
f(n) = 10(1.02)^n
Calculate f(1) and f(5)
f(1) = 10(1.02)^1 = 10.2
f(5) = 10(1.02)^5 = 10.2
The average rate is then calculated as:
m = (f(5) - f(1))/(5 - 1)
This gives
m =(11.04 - 10.2)(5 - 1)
Evaluate
m = 3.36
Hence, the average rate of change of the function f(n) from n = 1 to n = 5 is 3.36
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Jemmy throws the dice twice. What is the probability of getting 3 on the top for both dice?.
The probability of getting 3 on both of the dice is 1/36.
What is probability?
Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. An event's possibility is a number between 0 and 1, where, practically speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Main Body:
The probability of getting 3 on a dice = 1/6
As Jemmy throws the dice twice
P( 3 on both dice) =(1/6)*1/6
P ( 3 on both dice) = 1/36.
Hence the probability of getting 3 on both dice = 1/36.
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A box contains only green, red, blue and yellow counters. There is always at least one green counter amongst any 27 counters chosen from the box; always at least one red counter amongst any 25 counters chosen; always at least one blue amongst any 22 counters chosen and always at least one yellow amongst any 17 counters chosen. What is the largest number of counters that could be in the box?
(A) 27 (B) 29 (C) 51 (D) 87 (E) 91
Don't you dare say 91.
The largest number of counters that could be in the box is 91.
Since a box contains only green, red, blue and yellow counters, and there is always at least one green counter amongst any 27 counters chosen from the box; always at least one red counter amongst any 25 counters chosen; always at least one blue amongst any 22 counters chosen and always at least one yellow amongst any 17 counters chosen, to determine what is the largest number of counters that could be in the box among the options in the list, the following calculation must be performed :
27/27 = 1 29/27 = 1.07 51/27 = 1.88 87/27 = 3.22 91/27 = 3.37
Therefore, the largest number of counters that could be in the box is 91.
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(5+9i)+(4-5i) simplify
Answer:
9 + 4i
Step-by-step explanation:
5 + 4 + 9i - 5i
=> 9 + 4i
A bond has a coupon of 5.5% and it pays interest semiannually. With a face value of $1000, it will mature after 10 years. If you require a return of 10% from this bond, how much should you pay for it? Group of answer choices
655.90
684.58
719.6
750.76
The amount you should pay for a bond with a face value of $1000 is $719.6.
Find the price of the bond using the formula for the present value of an annuity with semi-annual payments:
P = [C x (1 - (1 / (1 + r/n)^(nt))) x (1 + r/n)^t] / (r/n)
where,
P = price of the bond
C = coupon payment
r = required rate of return
n = frequency of interest payments (in this case 2 for semi-annual)
t = time to maturity (in this case 20 semi-annual periods)
Substituting the given values in the formula:
P = [55 x (1 - (1 / (1 + 0.10/2)^(2*10)))) x (1 + 0.10/2)^20] / (0.10/2) = 719.6
Therefore, the price of the bond that pays a semi-annual coupon of 5.5% with a face value of $1000 and matures in 10 years, with a required rate of return of 10% is $719.6.
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Select the correct answer. what is the value of the third quartile of the data set represented by this box plot? a box plot with lower quartile, median and upper quartile values as 21, 26, and 29, respectively. the whiskers on both the ends end at 19 (minimum) and 33 (maximum). a. 19 b. 21 c. 26 d. 29
Answer:
D. 29
Step-by-step explanation:
just did the test and got it correct. Edmentum, Plato.
II The small capillaries in the lungs are in close contact with the alveoli. A red blood cell takes up oxygen during the 0.5s that it squeezes through a capillary at the surface of an alveolus. What is the diffusion time for oxygen across the 1-um thick membrane separating air from blood? Assume that the diffusion coefficient for oxygen in tissue is .2x10^-11m^2/s Give your answer to 1 significant figure.
The diffusion time of the red blood cell to take oxygen through the membrane is 25uS.
The small capillaries in the lungs are in close contact and it takes a red blood cell 0.5 seconds to squeeze through the capillary.
The diffusion time for the oxygen across the 1 um thick membrane separating the air is given by,
t = x²/2D
Where,
t is the diffusion time,
x is the thickness of the membrane,
D is the diffusion coefficient.
Putting values,
t = (1 x 10⁻⁹)²/2 x 2 x 10⁻¹¹
t = 10⁻⁷/4
t = 25 x 10⁻⁹ seconds.
t = 25 uS.
so, the diffusion time is 25uS.
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E line plot below shows the amount of water Rickayla drinks in 10 days. Part a: how many cups of water did Rickayla drink in 10 days?
Answer:
\(Total = 23\frac{1}{4}\) cups
Step-by-step explanation:
Incomplete question.
See attachment for line plot
Required
Total cups drank in 10 days
The number of x at the top of each dataset represent the frequency (i.e. number of cups) drank on that day.
To get the total, we simply multiply this frequency by the accompanying dataset.
So, we have:
\(Total = 2 * 1\frac{1}{2} + 1 * 1\frac{3}{4} + 2 * 2 + 2 * 2\frac{3}{4} + 3 * 3\)
Express fractions as improper fraction
\(Total = 2 * \frac{3}{2} + 1 * \frac{7}{4} + 2 * 2 + 2 * \frac{11}{4} + 3 * 3\)
Evaluate each product
\(Total = 3 + \frac{7}{4} + 4 + \frac{11}{2} + 9\)
Take LCM
\(Total = \frac{12+ 7+16+22+36}{4}\)
\(Total = \frac{93}{4}\)
\(Total = 23\frac{1}{4}\)
please helpppppp!!!!!!!!!
Answer:
64w^2
Step-by-step explanation:
Because 8w is in parentheses, you must apply the exponent to both the 8 and w.
So, it becomes (8*8)(x*x) which equals (64)(x^2).
Which then gives you your final answer, 64x^2.
How do you do multiple long?
Main answer:Long multiplication is a method of multiplying two difficult-to-multiply numbers.
supporting answer:
what is multiple long?
Finding the product is not always this simple. In such cases, the long method of multiplication is used.
body of the answer:
let us understand long multiplication by taking an example
Write the two numbers one beneath the other in the order of their digits. On top, write the larger number, and on the left, a multiplication sign.Multiply the top number's one digit by the bottom number's one digit.Put a 0 below the ones digit,Multiply the top number's ones digit by the bottom number's tens digit.Multiply the top number's tens digit by the bottom number's tens digit.6.Add the two partial products
final answer: by following above steps we can perform long multiplication
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Long multiplication is a method of multiplying two difficult-to-multiply numbers.
What is multiple long?
Finding the product is not always this simple. In such cases, the long method of multiplication is used.
Let us understand long multiplication by taking an example
1. Write the two numbers one beneath the other in the order of their digits. On top, write the larger number, and on the left, a multiplication sign.
2. Multiply the top number's one digit by the bottom number's one digit.
3. Put a 0 below the one's digit,
4. Multiply the top number's ones digit by the bottom number's tens digit.
5. Multiply the top number's tens digit by the bottom number's tens digit.
6. Add the two partial products
By following the above steps we can perform long multiplication
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A trapezoid is shown
What is the area of the trapezoid?
A)
21 m2
ing
B)
27 m2
O
34 m2
D)
42 m2
Answer:
what are the letters and numbers by the trapezoid i need them to solve it
Step-by-step explanation:
Answer:
answer 21 m2
Step-by-step explanation:
Area of a trapezoid
side a
5
parallel a,b
side b
9
height h
3
22 digit
area S
21
e
Amount spent: X= $38.54, S = $7.26.
Eighteen customers purchased dessert.
a. Construct a 95% confidence interval estimate for the population
mean amount spent per customer in the restaurant.
b. Construct a 90% confidence interval estimate for the population
proportion of customers who purchase dessert.
Jeanine, the owner of a competing restaurant, wants to conduct a
similar survey in her restaurant. Jeanine does not have access to the
information that Scarlett and Heather have obtained from the survey
they conducted. Answer the following questions:
c. What sample size is needed to have 95% confidence of estimat-
ing the population mean amount spent in her restaurant to within
$1.50, assuming that the standard deviation is estimated to
be $8?
d. How many customers need to be selected to have 90% confi-
dence of estimating the population proportion of customers who
purchase dessert to within ±0.04?
e. Based on your answers to (c) and (d), how large a sample should
Jeanine take?
- does anyone know this problem? Please help
PLSSSSSS HELP GIVING 10 POINTS
Two pizza delivery drivers compared the mean numbers of deliveries they completed in one day. Mean number of deliveries Mean Absolute Deviation (MAD) Driver A 12 3 Driver B 15 الي Which statement about the data is true? A. On average, driver A delivers more pizzas in one day than driver B. OB. The mean number of deliveries for driver A is less than the mean for driver B by 3 MADS. O C. The mean number of deliveries for driver A is less than the mean for driver B by 1 MAD. D. The MAD for driver A is less than the MAD for driver B.
Answer:
I'm pretty sure that it's C.
Answer:
The mean number of deliveries for driver A is less than the mean for driver B by 1 MAD.
Step-by-step explanation:
Test appoved
The graph represents the system of inequalities shown below. Determine whether the statement that follows the
graph is true or false.
y greater than or equal to 6
5x+3y ≤ 15
f(x,y) - 12x+3y
Assuming that x ≥ 0 and y ≥ 0, the situation is infeasible: True.
What are the rules for writing an inequality?In Mathematics, these rules are generally used for writing and interpreting an inequality or system of inequalities that are plotted on a coordinate plane:
The line on a graph is a solid line when the inequality symbol is (≥ or ≤).The inequality symbol is greater than or equal to (≥) when a solid line is shaded above.The inequality symbol is less than or equal to (≤) when a solid line is shaded below.In this context, we can logically deduce that the given system of inequalities 5x+3y ≤ 15 and y ≥ 6 would not have a feasible solution set if they are subjected to x ≥ 0 and y ≥ 0:
Assuming the ordered pair (1, 2), we have:
y ≥ 6
2 ≥ 6 (False).
5x+3y ≤ 15
5(1) +3(2) ≤ 15
5 + 6 ≤ 15
11 ≤ 15 (True).
Therefore, it is not a feasible solution.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
A study investigated about 3000 meals ordered from Chipotle restaurants using the online site Grubhub. Researchers calculated
the sodium content (in milligrams) for each order based on Chipotle's published nutrition information. The distribution of
sodium content is approximately normal with mean 2000 mg and standard deviation 500 mg.
(a) What proportion of the meals ordered exceeded the recommended daily allowance of 2400 mg of sodium?
Round your answer to 4 decimal places.
I got 21.18, and then tried 21.19 and both were incorrect.
The proportion of the meals ordered that exceeded the recommended daily allowance of 2400 mg of sodium is 0.2119.
How to calculate the proportion?z = (x-μ)/σ,
where
x is the raw score = 2400mg
μ is the population mean = 2000mg
σ is the population standard deviation = 500mg
z = 2400 - 2000/500
z = 0.8
Probability value from Z-Table:
P(x<2400) = 0.78814
P(x>2400) = 1 - P(x<2400) = 0.21186
Converting to percentage:
0.21186 × 100
= 21.186%
= 0.2119
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Pls give simple working out
Answer:
x = 33
Step-by-step explanation:
∡ CBE = ∡DBA = 57°
The sum of the interior angles of a triangle results 180°
∡BDA = it´s a right angle = 90°
Then:
57° + 90° + x = 180°
147° + x = 180°
x = 180° - 147°
x = 33°
Can you guys please help me with this. It is graded. Thanks.
Answer:
\(\huge\boxed{\$ \ 8.15}\)
Step-by-step explanation:
DVD Player = $49.95
DVD Holder = $19.95
Personal Stereo = $21.95
Total Cost of all the things:
=> $49.95 + $19.95 + $21.95
=> $91.85
Left Money:
=> $100 - $91.85
=> $8.15