Given:
Amount = Rs. 34476
Rate of compound interest = 4%
Time = [tex]2\dfrac{1}{2}=2.5[/tex] years
To find:
The principal value.
Solution:
Formula for amount is
[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]
Where, P is principal value, r is rate of interest and t is time in years.
Putting the given values, we get
[tex]34476=P\left(1+\dfrac{4}{100}\right)^{2.5}[/tex]
[tex]34476=P\left(1+0.04\right)^{2.5}[/tex]
[tex]34476=P\left(1.04\right)^{2.5}[/tex]
[tex]\dfrac{34476}{\left(1.04\right)^{2.5}}=P[/tex]
Now,
[tex]P=31256.0090[/tex]
[tex]P\approx 31256[/tex]
Therefore, the value of sum or principal value is Rs.31256.
Each of the Space Shuttle's solid rocket motors burns 680,400 kilograms of propellant in 2.5 minutes. How much propellant does each motor
Answer:
Step-by-step explanation:
Use the following information for Questions 7 - 10. Last year two sections of probability and statistics were taught by an instructor. The first section had 20 students and the second had 30 students. Each student had to complete a project. The projects were randomly ordered before grading. Consider the first 15 graded projects. Question 7: Which type of probability distribution best describes the problem
Answer:
Hypergeometric distribution
Step-by-step explanation:
The hypergeometric distribution is the type of geometric distribution that best describes this problem.
The hypergeometric distribution is a distribution function where weake selections from 2 groups and by doing so no members of the groups are replaced. The 2 groups are the two sections of probability and statistics.
What is the slope of the line? y-3=5(x-2)y−3=5(x−2)y, minus, 3, equals, 5, left parenthesis, x, minus, 2, right parenthesis Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac15 5 1 start fraction, 1, divided by, 5, end fraction (Choice B) B -\dfrac45− 5 4 minus, start fraction, 4, divided by, 5, end fraction (Choice C) C 111 (Choice D) D 55
Answer: A
Step-by-step explanation:
Answer:5
Step-by-step explanation:I got it wrong and decided to give you guys the right answer.
Put the equation into this form
Answer:
y=x(x-2)-8
Step-by-step explanation:
hope this helps :)
A, C, E
A, C, D
B, D, E
C, D, E
Answer: A C and E (1st choice)
Step-by-step explanation:
Examine the diagram. It is not drawn to scale.
What is the m_3?
m_3=
Answer:
I think 12 I don't know if it's right or not but I tried
Answer:
its 105 :)
Step-by-step explanation:
its 100% correct <3
Find the average rate of change of the function f(x) = -1x^2-7x-8 over the interval (1, 3).
Answer:
[tex]\displaystyle -11[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Interval NotationAverage Rate of Change: [tex]\displaystyle \displaystyle \frac{f(b) - f(a)}{b - a}[/tex]Step-by-step explanation:
Step 1: Define
f(x) = -x² - 7x - 8
(1, 3) → a = 1, b = 3
Step 2: Find Average Rate
Substitute in variables [Average Rate of Change]: [tex]\displaystyle \displaystyle \frac{f(3) - f(1)}{3 - 1}[/tex][Change] Substitute in function: [tex]\displaystyle \displaystyle \frac{[-(3)^2 - 7(3) - 8] - [-(1)^2 - 7(1) - 8]}{3 - 1}[/tex][Change] [Fraction] [Brackets] Evaluate exponents: [tex]\displaystyle \displaystyle \frac{[-9 - 7(3) - 8] - [-1 - 7(1) - 8]}{3 - 1}[/tex][Change] [Fraction] [Brackets] Multiply: [tex]\displaystyle \displaystyle \frac{[-9 - 21 - 8] - [-1 - 7 - 8]}{3 - 1}[/tex][Change] [Fraction] [Brackets] Subtract: [tex]\displaystyle \displaystyle \frac{[-38] - [-16]}{2}[/tex][Change] [Fraction] [Distributive Property] Distribute negative: [tex]\displaystyle \displaystyle \frac{-38 + 16}{2}[/tex][Change] [Fraction] Add: [tex]\displaystyle \displaystyle \frac{-22}{2}[/tex][Change] [Fraction] Divide: [tex]\displaystyle -11[/tex]Answer:
Step-by-step explanation:
-1x^2-7x8
-1x^2-7x+8
-1x+8-7x
+1x +1x
----- ------
X -7x
8 -7x
---- -----
+7 +7
---- -----
15 1x/x
15 1x
---- -----
1 X
X=15
Before you do the actual work you have to study your times table that way it helps you to be fast and it will help you to work good underpressure when it comes to integers.
What you do to one side you do to the other.
Given two intersecting CHORDS and their intercepted arcs, how do I determine the angles of intersection of the chords?
Answer:
Angles of Intersecting Chords Theorem
Step-by-step explanation:
If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.
Answer: If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and it's vertical angle.
Step-by-step explanation: Example: In the circle, the two chords -PR and -QS intersect inside the circle. since vertical angles are congruent, m<1=m<3 and m<2=m<4
A local yoga studio
charges a sign-up fee of
$55, plus $10 per class. A
second yoga studio
charges a sign-up fee of
$25 plus $12.50 per class.
A. Griffin
B. Gigi
Answer:
Let's call the first studio, yoga studio A.
Let's call the second studio, yoga studio B.
The equations:
Yoga Studio A: y=10x+55
Yoga Studio B: y=12.5x+25
So, for 12 classes:
Yoga Studio A: y=10(12)+55, y=175
Yoga Studio B: y=12.5(12)+25, y=175
These two numbers are equal, so Griffin is right.
For 10 classes:
Yoga Studio A: y=10(10)+55, y=155
Yoga Studio B: y=12.5(10)+25, y=150.
These two numbers are not equal, so Gigi is wrong.
Let me know if this helps!
ASIGNATURA: Matemáticos
Tema: Una respuesta inesperada
Instrucciones: Lena los espacios escribiendo el número que resulta de multiplicar el número
de la columna de la izquierda por cada uno de los números de la fila superior.
3
5
4
6
2
10
8
4
3
27
21
18
5
15
45
40
7
63
49
14
16
8
72
24
18
72
36
54
45
9
8
12
28
36
a) Los múltiplos de 3 son:
b) Todos los números pares son múltiplos de:
c) Los múltiplos de 5 son:
dos en negrita
Answer:
a) Los múltiplos de 3 son: 3,6,9,12,15,18,21,24,27
b) Todos los numeros pares son multiplos de: 2
c) Los múltiplos de 5 son: 5,10,15
Can someone pls help me? I’m confused!
Answer:
? = 24
Step-by-step explanation:
Pizzas = 3
Because of this, burgers must be 2
2³ = 8
Tacos = 8
8 + 8 + 8 = 24
24
Explanation
Pizza Slice= 3
You divide 27 by 3, which gets you 9, then divide it by 3 again, which gets you 3 once more. 3 is how much a pizza slice is.
Hamburger = 2
Since we know a pizza slice is 3, we can do 3×3 to get us 9, which we would then have to divide 18 by 9 so we get the value of the Hamburger, which is 2.
With that information in mind, 3 Hamburgers (2×2×2) equals a Taco, which would be 8. And three tacos (8+8+8) equals 24.
We roll two fair 6-sided dice. If a fair dice is rolled, the probability of it landing on any number between [1-6] is equi- probable (i.e., 1 6 ). (a) Find the probability that doubles are rolled. (Rolling doubles mean both dices land in the same number, e.g., 3 and 3.) (b) Given that the roll results in a sum of 6 or less, nd the conditional probability that doubles are rolled. (c) Find the probability that the larger of the two die's outcomes is at least 4.
Answer:
a.) [tex]\frac{1}{6}[/tex]
b.) [tex]\frac{3}{15}[/tex]
c.) [tex]\frac{27}{36}[/tex]
Step-by-step explanation:
Given - We roll two fair 6-sided dice. If a fair dice is rolled, the probability
of it landing on any number between [1-6] is equi- probable
(i.e., [tex]\frac{1}{6}[/tex]).
To find - (a) Find the probability that doubles are rolled.
(b) Given that the roll results in a sum of 6 or less, and
the conditional probability that doubles are rolled.
(c) Find the probability that the larger of the two die's outcomes
is at least 4.
Proof -
As given , two fair 6-sided dice is rolled.
The sample space is as follows :
S = { (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }
Total number of outcomes = 36
a.)
Sample space that double are rolled = { (1, 1), ( 2, 2), ( 3, 3) , ( 4, 4), ( 5, 5), ( 6, 6) }
Total number of possible outcomes = 6
So, Probability = [tex]\frac{6}{36}[/tex] = [tex]\frac{1}{6}[/tex]
b.)
Sample space that roll shown sum of 6 or less = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (4, 1), (4, 2), (5, 1)}
Now,
Total outcomes = 15
Total possible outcome that doubles are rolled = 3 ( i.e (1,1), (2, 2), (3, 3) )
So, Probability = [tex]\frac{3}{15}[/tex]
c.)
Sample space that larger of the two die's outcomes is at least 4 = { (1, 4), (1, 5), (1, 6), (2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }
Total possible outcomes = 27
So, Probability = [tex]\frac{27}{36}[/tex]
A giant panda lives in the Washington, DC zoo. What does the point shown tell you about the panda?
Answer:
he is 36 months old or 3 years old, and he ways 82 kilograms.
Step-by-step explanation:
quick mafs
The point shown in the graph tell about the panda which lives in the Washington, DC zoo that the age of panda is 36 months and the weight of panda is 82 kilograms.
How to read the data from the graph?In a graph, the line which is horizontal is known as the x-axis of the graph. The vertical line in the graph is called the y-axis of it. These axis helps to read the data from graph in following way-
The value of a point parallel to x axis in graph gives the value x-value. It is the value of parameter which is titled on x-axis.The value of a point parallel to y axis in graph gives the value y-value. It is the value of parameter which is titled on y-axis.In the given graph, the x-axis is labeled with age in months and y-axis is labeled with weight of panda.
The point with coordinates (36,82) tells that the age of panda is 36 months and the weight of the panda is 82 kilograms.
Hence, the point shown in the graph tell about the panda which lives in the Washington, DC zoo that the age of panda is 36 months and the weight of panda is 82 kilograms.
Learn more about the graph here;
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Two secretarial students, Agyemang and Ike
are used Typewriter dealers. They found that the
length of time before a major repair is required on
Typewriter sold is normally distributed with a mean
equal to 11 months and
Standard deration & 2
montes. If the dealers wand only s% of the
Cars to fail before the end of the guarantee
period, for how
many
minth should the Typewriters
be guaranteed
how me
,
Step-by-step explanation:
22
A thermally insulated vessel contains
150 g of water at 0°C. Then the air from the
vessel is pumped out adiabatically. A
fraction of water turns into ice and the rest
evaporates at 0°C itself. The mass of
evaporated water will be closest to:
(Latent heat of vaporization of
water = 2.10 x 106 Jkg - and Latent heat of
Fusion of water = 3.36 x 105J kg-1)
Evaluate the expression 2(2x-3y)-5xy where x=-2 and y=-1
Answer:
-12
Step-by-step explanation:
2 (2x-3y)-5xy
4x-6y-5xy
4(-2)-6(-1)-5*-2*-1
-8+6-10
-12
Which value is the solution to the equation 20=y+12 ? ( use substitution to find solutions to equations.)
Answer:
8 = y
Step-by-step explanation:
In order to find a solution to an algebraic equation such as this one we simply need to isolate the variable. We do this by applying the opposite operation to each side in order to get rid of the other factors and get the variable alone. Like so...
20 = y + 12 ... we need to subtract 12 from both sides to get rid of the 12 on the right side with the variable y.
20 - 12 = y + 12 - 12
8 = y
Finally, we can see that the value of the variable y is 8
I really need help on this please
Answer:
m<S = 92°
Step-by-step explanation:
Opposite angels of a cyclic quadrilateral are supplementary. That is, they sum up to 180°.
<S and <Q are opposite angles of the cyclic quadrilateral given.
m<Q = 88°
Therefore,
m<Q + m<S = 180°
88° + m<S = 180° (substitution)
m<S = 180° - 88° (substraction property of equality)
m<S = 92°
The wages
w
(in £) Gordon earns is the number of hours he works
n
multiplied by his hourly rate
r
(in £ per hour). Enter a formula for Gordon's wages and enter the wage he would earn if he worked 5 hours at a rate of £10.40 per hour
n×r=£w
That is the equation you would use. Just put 5 in place of the N, and £10.40 in place of the R
Find the slope of the line passing through the pair of points or state that the slope is undefined.
(-2,6) and (5,5)
Answer:
[tex]\displaystyle m=\frac{-1}{7}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-2, 6)
Point (5, 5)
Step 2: Identify
x₁ = -2, y₁ = 6
x₂ = 5, y₂ = 5
Step 3: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{5-6}{5+2}[/tex][Slope] [Fraction] Subtract/Add: [tex]\displaystyle m=\frac{-1}{7}[/tex]Samantha has 1/3 gallon of milk left and wants to make 55 smoothies. If she wants to use the same amount of milk in each smoothie, how much milk can she put into each smoothie?
Answer:
She can put 1/165 in one smoothie.
Step-by-step explanation:
1/3 divided by 55/1
1/3 x 1/55 = 1/165
Hope this helps! :)
plz make me the Brainiest
In Mr. Richard's class, 5/8 of the students like
to bake. Of those students, one-half prefer to
bake cookies. What fraction of the students
prefer to bake cookies?
Which formula represents how to find r in a polar coordinate?
Answer:
Here's the answer:
r = √ ( x2 + y2 )
Answer:
To convert from Cartesian Coordinates (x,y) to Polar Coordinates (r,θ):
1. r = √ ( x2 + y2 )
2. θ = tan-1 ( y / x )
I hope it's helpful!
work out the surface area of this cylinder
Answer:
A=2πrh+2πr2=2·π·2·4+2·π·22≈75.39822
Step-by-step explanation:
What is the answer for
(7-2)÷5
Answer:
1
Step-by-step explanation:
7-2=5 5/5=1The history of 100 workers who lost their employment due to technological advances is reviewed. Each worker was given an alternative job in the same​ company, found a job with another company in the same​ field, found a job in a new​ field, or has been unemployed for 1 year. In addition the union status of each worker is recorded. Complete​ (a) and​ (b).
Union Non-Union
Same Company 39 13
New Company 14 10
New Field 6 11
Unemployed 2 5
Required:
a. If the selected worker found a job with a new company in the same field, what is the probability that the worker is a union member?
b. If the worker is a union member, what is the probability that the worker has been unemployed for a year?
Based on the circumstances of the 100 workers and their union membership, the probabilities are:
Probability of worker finding new job in same field and is in union = 0.583.Probability that union worker has not been employed for a year = 0.033.What is the probability of the a new job with a union member?Number of people with jobs in new companies:
= 14 + 10
= 24
There are 24 people who have found a new job and out of them, 14 are in a union. The probability here is therefore:
= 14 / 24
= 0.583
What is the probability that a union worker has been unemployed?The number of people in a Union is:
= 39 + 14 + 6 + 2
= 61 people
Number of union people that have been unemployed is 2.
The probability here is therefore:
= 2 / 61
= 0.033.
Find out more on probabilities at https://brainly.com/question/25870256.
9(3x + 4) - 22 = 11 +5(42 - 1)
Answer:
13
Step-by-step explanation:
because I know cause my dad is adam sandler
Answer:
hello! :) have a good day!
Exact Form:
x = 202/27
Decimal Form:
x = 7.481
Mixed Number Form:
x = 7 13/27
A new building is being constructed a distance of 420 feet from the ocean, and the builder wants to have a rooftop patio
with a view of the ocean. Another building, in between the new building and the ocean, is located a distance of 180 feet
from the ocean and has a height of 15 feet. The angle of elevation from the ocean to the top of the new building, O.
represents the minimum angle for a person on the rooftop to view the edge of the ocean
rooftop
patio
15 ft.!
180 ft.
420 ft.
. To the nearest hundredth, what is the measure of in degrees?
. Construction for the new building has a maximum height restriction of 32 feet Is it possible for the builder to have a
rooftop patio with a view of the ocean? Justify your answer. In your response, make sure to define your variables
and show all your work
Enter your answers and justification in the box
Math symbols
Relations
No
Answer:
[tex]\theta = 4.8^\circ[/tex]
It is possible
Step-by-step explanation:
Given
See attachment for the construction
Solving (a): The minimum angle
This is calculated as thus:
[tex]tan(\theta) = \frac{Opposite}{Adjacent}[/tex]
[tex]tan(\theta) = \frac{15}{180}[/tex]
[tex]tan(\theta) = 0.0833[/tex]
Calculate [tex]\theta[/tex]
[tex]\theta = tan^{-1}(0.0833)[/tex]
[tex]\theta = 4.761[/tex]
[tex]\theta = 4.8^\circ[/tex] --- approximated
Solving (b):
First; calculate the height of the building using the following equivalent ratio.
[tex]h : 420 = 15 : 180[/tex]
Where h is the height of the building
[tex]\frac{h }{ 420 }= \frac{15 }{ 180}[/tex]
[tex]h= \frac{15 }{ 180}*420[/tex]
[tex]h= \frac{15*420 }{ 180}[/tex]
[tex]h= \frac{6300}{ 180}[/tex]
[tex]h= 35[/tex]
This means that it is possible that the builder builds a 32 feet high building
From the picture attached,
Angle of depression = Angle of elevation (θ) [Alternate angles]
Apply tangent rule in ΔCDP,
[tex]\text{tan}\theta=\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
[tex]\text{tan}\theta=\frac{CD}{DP}[/tex]
[tex]=\frac{15}{180}[/tex]
[tex]=\frac{1}{12}[/tex]
[tex]\theta=\text{tan}^{-1}(0.08333)[/tex]
[tex]\theta=4.76^\circ[/tex]
Similarity of two triangles:If two triangles are similar, their corresponding sides will be proportional.Use this property to get the height of the new building.
Since, ΔABP and ΔCDP are the similar triangles, their corresponding sides will be proportional.
[tex]\frac{AB}{BP}=\frac{CD}{DP}[/tex]
[tex]\frac{AB}{420}=\frac{15}{180}[/tex]
AB = [tex]\frac{420\times 15}{180}[/tex]
= 35 feet
But the construction for a new building has a maximum height restriction of 32 feet.
And the height of the building is more than the restricted height.
Therefore, it is not possible for the builder to have a rooftop patio with a view of the ocean.
Learn more about the similar triangles here,
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If WX = x + 5 and XY = 3x - 13, then what is the value of x?
Answer:
[tex]x = 9[/tex]
Step-by-step explanation:
Given
[tex]WX = x + 5[/tex]
[tex]XY = 3x - 13,[/tex]
Required
Find x
To do this, I will assume [tex]WX = XY[/tex].
So, we have:
[tex]x + 5 = 3x - 13[/tex]
Collect Like Terms
[tex]x - 3x = -5 - 13[/tex]
[tex]-2x = -18[/tex]
Divide by -2
[tex]x = 9[/tex]
Given the inequality -8 < 2, explain what happens when you multiply or divide both sides by 2 and what happens when you multiply or divide both sides by -2. Explain
Answer:
i d k
Step-by-step explanation:
Answer:
When you multiply or divide each side by 2, the signs stay the same. −16 < 4 and −4 < 1. When you multiply or divide by −2, the inequality sign reversed. 16 > −4 and 4 > −1.
You have a choice of receiving a wage of $26,000 per year, $2860 per month, $630 per week, or $14.30 per hour. Which pay choice would you take? Assume a 40-hour work week and 52
weeks of work per year
A $26,000 per year
B$2860 per month
C $630 per week
D14.30 per hour
Answer:
I think the answers is B
Step-by-step explanation:
But im so sorry if its not right...
Have a nice day