Answer:
http://www.1728.org/compint2.htm
Principal = Total ÷ (1 + Rate) ^ years
Principal = $8,000 / (1.04) ^ 4
Principal = $8,000 / 1.16985856
Principal = 6,838.43
Step-by-step explanation:
Calculate the mean, median, and mode for each of the following populations of numbers: (Round your mean and median value to 1 decimal place.) (a) 30, 12, 15, 14, 15, 24, 13, 18, 15, 27 (b) 511, 503, 505, 505, 515, 491, 514
Answer:
See solutions below
Step-by-step explanation:
For the set of datas
30, 12, 15, 14, 15, 24, 13, 18, 15, 27
Mean = 30+12+15+14+15+24+13+18+15+27/10
Mean = 183/10
Mean = 18.3
Median is the number at the middle after rearrangement
12,13,14,15,(15,15),18,24,27,30
Median = 15+15/2
Median = 30/2
Median = 15
Mode the value that occurs the most. According to the data since the number that occurs the most is 15, hence the mode is 15
b) For the set of datas
511, 503, 505, 505, 515, 491, 514
Mean = 511+503+505+505+515+491+514/7
Mean = 3,544/7
Mean = 506.3
Median is the number at the middle after rearrangement
491, 503, 505, (505), 511, 514, 515
Hence the median value is 505
Mode the value that occurs the most. According to the data since the number that occurs the most is 505, hence the mode is 505
For nos. 1-4. Find the electrical consumption for the following:
D. 28 kwh
1. Previous: 2150
Present: 2188
A. 38 kWh
B. 35 kwh
C. 34 kwh
2. Previous: 7285
Present: 7810
A. 526 kWh
B. 525 kWh
C. 524 kWh
D.518 kWh
D. 332 kWh
3. Previous: 4605
Present: 4938
A. 335 kWh
B. 334 kWh
C. 333 kWh
4. Previous: 9214
Present: 9576
A. 365 kWh
B. 364 kWh
C 363 kWh
D. 362 kWh
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Answer:
ABCDStep-by-step explanation:
You have not told us the scale factor for the readings. The answer choices seem to say it is 1. That is, the consumption in kWh is equal to the difference between the Present and Previous readings. Those differences are shown in the attachment.
__
A spreadsheet is a nice tool for doing repetitive calculations without error.
In the figure, ∆BAT ≅ ∆CAT. Which statement is true by CPCTC?
Answer:
BT=CT the first one because BAT=CAT and bc cut the similar vector between these two triangle
What is the y-intercept of 3x – 4y = 24? Write your answer as a single number.
Answer:
-6
Step-by-step explanation:
y-intercept of 3x – 4y = 24
=> x=0
3(0) -4y=24
-4y=24
y = 24/(-4) = -6
the point is (0, -6)
5. If R(2.2) and S(5.4) i. Calculate the magnitude of RS ii. Express RS in the form (K,D), where K is the magnitude and Q the bearing.
Answer:
We have:
R = (2, 2)
S = (5, 4)
RS is the segment that connects R with S.
So RS is just the distance between R and S.
Remember that the distance between two points (a, b) and (c, d) is given by:
[tex]distance = \sqrt{(a - c)^2 + (b - d)^2}[/tex]
Then the distance between S and R is
[tex]distance = \sqrt{(5 - 2)^2 + (4 - 2)^2} = \sqrt{3^2 + 2^2} = \sqrt{13}[/tex]
Then:
RS = √13
ii) Now we want to express RS in the form (K, Q)
where K is the magnitude (we already know that it is √13) and Q is the bearing, which is measured with respect to the horizontal axis.
To interpret the bearing, let's look at the image below:
We can use the relation:
Tan(θ) = (opposite cathetus)/(adjacent cathetus)
where the opposite cathetus is just the difference between the y-values:
Opposite cathetus = 4 - 2 = 2
And the adjacent cathetus is the difference between the x-values:
Adjacent cathetus = 5 - 2 = 3
Then we have:
Tan(θ) = 2/3
If we apply the inverse tangent equation to both sides, we get:
Atan(tan(θ)) = Atan(2/3)
θ = Atan(2/3) = 33.69°
The bearing is 33.69°
then:
RS = (√13, 33.69°)
10
1
board/home
Solving Linear Equations. Tutorial Level
Four times the sum “n plus 10" is 34. What is the
value of n?
Multiply (n + 10) by 4.
4(x + 10) = 34
ESSICA
2
n+
2
= 34
DONE
00
P750
Answer:
-1.5 or -1 1/2
Step-by-step explanation:
I can only guess what is actually asked for. a lot of things went wrong when copying this problem description in here.
the basic question I understand is to solve the equation of
4(n + 10) = 34
=>
n + 10 = 34/4 = 8.5 or 8 1/2
n = 8.5 - 10 = -1.5 or -1 1/2
What is the scale factor from ∆ABC to ∆DEF?
Answer:
D
Step-by-step explanation:
6*8 = 48
4*8 = 32
i need help with this?
i’m so confused
Answer:
See below
Step-by-step explanation:
In #4, the angles are vertical because the angles are congruent to each other. Therefore, you would set up the equation x+8=120 where x=112.
In #5, the angles are complementary because their sum is 90°. Therefore, you would set up the equation 43+x+3=90 where x=44.
In #6, the angles are supplementary because their sum is 180°. Therefore, you would set up the equation 76+2x+4=180 where x=50.
List 2 different ways to name angle 2 shown below.
If you worked for the local CVS for $9.00 an hour and this week you worked 40 hours at regular time, and 5 hours of overtime at a rate of 1.5 how much money would you earn?
Answer:
1800
Step-by-step explanation:
First, you multiply 9 times 40 which is 360. So then since he worked for 5 more hours you multiply 360*5 which will give you 1800. :D
What is the length of the hypotenuse of the triangle below?
45°
h
5V2
45°
90°
52
The length of the hypotenuse of the triangle whose other two sides are of the length 5√2 units is given by: Option B: 10 units.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
For this case, consider the figure attached below.
Then, we are given the facts that:
Triangle ABC is a right angled triangle with right angle at vertex BThe lengths of non-hypotenuse sides AB and BC are 5√2 unitsThe length of the hypotenuse AC, denoted by h is to be found.Using the Pythagoras theorem, we get:
[tex]|AC|^2 = |AB|^2 + |BC|^2\\\\h^2 = (5\sqrt{2})^2 + (5\sqrt{2})^2 \\\\h^2 = 2(5\sqrt{2}))^2[/tex]
Taking root, we get:
[tex]h = \sqrt{2 (5\sqrt{2})^2}[/tex] (only positive root since h is denoting length, which is a non-negative quantity).
Thus, we get:
[tex]h = \sqrt{2 (5\sqrt{2})^2} = \sqrt{(5\sqrt{2})^2} \times \sqrt{2} = (5\sqrt{2}) \times \sqrt{2} = 5 \times (\sqrt{2})^2 = 5 \times 2 \\\\h= 10 \: \rm units[/tex]
(square cancelled the square root).
Thus, the length of the hypotenuse of the triangle whose other two sides are of the length 5√2 units is given by: Option B: 10 units.
Learn more about Pythagoras theorem here:
https://brainly.com/question/12105522
Answer:
10 units.
Step-by-step explanation:
just took the quiz
Evaluate:
2n=1(3n + 2) = [?]
Answer:
n = -2
Step-by-step explanation:
2n = 3n + 2
-n = 2
n = -2
Steve Ballmer, the current CEO of Microsoft, used to be the manager of his college football team. Among his duties, he had to be sure the players were hydrated. When nearby construction forced a water shut off, Steve went to the Star Market to purchase bottles of water. He needed a total of 80 liters of water. Star Market sold water in two liter bottles and in half liter bottles. What possible combinations of the small and large bottles might he purchase in order to bring 80 liters to the football team?
a. Write an equation that models the possible combinations of half liter bottles and two liter bottles that would total 80 liters. (Be sure to define the variables.)
b. What is the x-intercept and what does it represent?
c. What is the y-intercept and what does it represent?
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Answer:
a. x + 4y = 160
b. 160
c. 40
Step-by-step explanation:
a. We can define the variables as ...
x = number of 1/2-liter bottles
y = number of 2-liter bottles
For the total number of liters to be 80, we require
1/2x + 2y = 80
We can multiply this by 2 to eliminate the fraction.
x + 4y = 160
__
b. The x-intercept is 160. It is the number of 1/2-liter bottles required when no 2-liter bottles are used.
__
c. The y-intercept is 40. It is the number of 2-liter bottles required when no 1/2-liter bottles are used.
solve the system of equations y=x-7 y=x^2-9x+18
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Answer:
(x, y) = (5, -2)
Step-by-step explanation:
Equating expressions for y, we have ...
x^2 -9x +18 = x -7
x^2 -10x +25 = 0 . . . . . add 7-x to both sides
(x -5)^2 = 0 . . . . . . . . factor
The value of x that makes the factor(s) zero is x=5. The corresponding value of y is ...
y = x -7 = 5 -7 = -2
The solution is (x, y) = (5, -2).
Let U be the set of all books, N the set of all novels, and H be the set of all hardcover books. Describe, in words, the following sets:
Given:
U be the set of all books, N the set of all novels, and H be the set of all hardcover books.
To find:
The description for the sets [tex]N\cap H[/tex] and [tex]H'[/tex] in words.
Solution:
We have,
U = The set of all books
N = The set of all novels
H = The set of all hardcover books.
We know that [tex]N\cap H[/tex] means common elements of set N and set H.
Therefore, [tex]N\cap H[/tex] is set of all books that are both novels and hardcover books.
We know that [tex]H'[/tex] is the set of elements of universal set except the elements of set H.
Therefore, [tex]H'[/tex] is the set of all books that are not hardcover books.
What is the solution of the equation, n + 12 = 12?
n = ______
what's the formula of finding an area of a room?
Answer:
For a square or rectangular room you will need the length and width
Then you multiply I.e length x width gives Area
bye :-)
Barbie lives 12 miles from work. Linda
lives 1 3/4 times farther from work than
Barbie. About how far does Linda live
Answer:
21 miles
Step-by-step explanation:
12 * 1.75
I need help badly please with number 2 ...help me .. please no links or I will report you
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Answer:
$62.74
Step-by-step explanation:
The annuity formula can be used to find the payment needed. Fill in the known values and solve for the unknown.
The future balance due to a series of payments is given by ...
A = P(n/r)((1 +r/n)^(nt) -1)
where A is the account balance P is the payment made each period, n is the number of periods per year, r is the annual interest rate, and t is the number of years.
You have A = $20,000, r = 0.041, n = 12, t = 18 and you want to find P
P = A(r/n)/((1 +r/n)^(nt) -1)
P = $20,000(0.041/12)/((1 +0.041/12)^(12·18) -1) ≈ $62.74
A monthly payment of $62.74 is required.
Please help me with this (work out 10% of 13kg)
Answer:
1.3kg
Step-by-step explanation:
Answer:
its 1.3kg
Step-by-step explanation:
to work out 10% of anything just divide it by 10.
e.g 13kg÷10=1.3kg
The figures below are congruent. Which series of transformations
maps figure ABCD onto EFGH?
A
F. rotation followed by a translation
G. rotation followed by a dilation
H. reflection followed by a translation
I. reflection followed by
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Answer:
H. reflection, translation
Step-by-step explanation:
The order of vertices ABCD is clockwise. The order of vertices EFGH is counterclockwise, so a reflection must be involved.
The orientation direction of GH is nearly vertical. The corresponding direction of CD is up to the left. A reflection can make the directions be the same, but the reflection that gets the orientation correct may not put the figure in the correct location.
So, we choose the transformations ...
H. reflection followed by translation
What is the surface area of the rectangular prism shown below?
A: 159
B: 294
C: 318
D: 378
(All squared)
You have one each of $0.05, $0.10, $0.25, $1.00 and $2.00 coins in your wallet. How many different sums of money could you form by reaching into your wallet and pulling out some coins?
Answer:
The correct answer is - 26 sums for pulling few coins.
Step-by-step explanation:
Given:
coins in the wallet = 5 ($0.05, $0.10, $0.25, $1.00 and $2.00)
Different sums of money = ?
Formula: Different combination of items can be calculated with the help of a formula of combination that is -
nCr = n! / ((n – r)! r!)
where, n = total number of items
r = number of item in a set
solution:
In this question number of set is not given only few mention so the sets could be 2 coins, 3 coins, 4 coins and 5 coins.
a. for set of 2 coins
= 5! / ((5 – 2)! 2!)
= 20/2
= 10 combination of sums
b. for the set of 3 coins
= 5! / ((5 – 3)! 3!)
= 10
C. for 4
= 5! / ((5 – 4)! !)
= 5
d. for 5 coins
only 1 sum
thus, the total types of different sums = 10+10+5+1
= 26.
the measure the measure of the angle of Pentagon are x minus 5 x minus 6 2 x minus 7 x and 2 x minus 2 find the value of x
Answer:
x = 56°
Step-by-step explanation:
Applying,
Sum of the interior angles in a polygon = (n-2)180
Where n = number of sides.
From the question,
Given: n = 5 sides (Pentagon)
Therefore, sum up all the given interior angle of the polygon
(x-5)+(5x-6)+(2x-7)+x+(2x-2) = (5-2)180
10x-20 = 540
10x = 540+20
10x = 560
x = 560/10
x = 56°
6 (b - 83) =10
Answer by steps?
Answer:
b = 84 2/3.
Step-by-step explanation:
6 (b - 83) =10
6b - 6*83 = 10
6b - 498 = 10
6b = 508
b = 508/6
b = 84 2/3
[tex]\longrightarrow{\green{84.666}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]6 \: (b - 83) = 10 \\ ➡ \: 6 \: b - 498 = 10 \\ ➡ \: 6 \: b = 1 0 + 498 \\ ➡ \: 6 \: b = 508 \\ ➡ \: b = \frac{508}{6} \\ ➡ \: b = 84.666 [/tex]
[tex]\boxed{To\:verify:}[/tex]
[tex]6 \:( b -83) = 10 \\ ➝ \: 6 \: (84.666 - 83) = 1 \\ ➝ \: 6 \times 1.666 = 10 \\ ➝ \: 9.996 = 10 \\ ➝ \:10 \: (round ing \: \: to \: \: closest \: \: whole \: \: number) = 10 \\ ➝ \: L. H.S.=R. H. S[/tex]
Hence verified.
[tex]\pink{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]
Suppose that there are 25 students in a class, each either a freshman, a sophomore, or a junior. How many students must be in the same cohort
Answer:
at least 9 students in each cohort.
Step-by-step explanation:
Given that :
In a class, there are 25 students and each of them is either a sophomore, a freshman or a junior. We have to determine the number students in the same cohort.
Let us suppose there are equal number of students in each of the cohort.
Now let us assume that the number of the students in each cohort be 8, i.e. each as a freshman, a junior or a sophomore. Therefore, the total number in the all the cohorts will be 24 students only.
Thus, we can say that there are at least [tex]9[/tex] freshman, at least [tex]9[/tex] sophomore or at least [tex]9[/tex] junior in each of the cohort.
Which graph has a slope of 4/5?
Answer:
I think its the last option i think option D the one one the bottom
Step-by-step explanation:
If helps mark as brainllest
If 90 people were at a game and one-sixth bought programs for $1.50 each,
how much did they spend on programs all together?
Answer:
I'm pretty sure they spent $22.50
Step-by-step explanation:
do (1÷6)×(90) then multiply 15 and 1.50
Which domain would make the list of ordered pairs a function? {(-2, 5), (3, -1), (_, 4), (_, -9), (5, 6)}
Hope this help!!!
Have a nice day!!!
The required domain would make the list of the ordered pairs are-4 and 5.
Given that,
Which domain would make the list of ordered pairs a function, {(-2, 5), (3, -1), (_, 4), (_, -9), (5, 6)} is to be determined.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
here,
The domain of the function follows the pattern of increasing the number by unit with the alternate sign change,
So the domain of function after 3 is given as -4 and 5.
Thus, the required domain would make the list of the ordered pairs are -4 and 5.
learn more about function here:
brainly.com/question/21145944
#SPJ5
Can Snap say your somewhere when your not with someone????
Answer:
In my choice yes, it helped me I mean snap showed me where I am.
Step-by-step explanation:
if you want to know how then just be online and turn on location
Answer:
if it says that your somewhere when you're not with someone or did not allow snap to know your location someone other than you may access to your account somehow.
id advise you to put extra security for your safety and your account.
Step-by-step explanation:
