Solution :
Given :
Principal amount, P = Rs. 1000
Time period = 12 months
The maturity value = Rs. 12,715
We know that,
[tex]$ SI = \frac{PTR}{100}$[/tex]
[tex]$SI = 1000 \times \frac{n(n+1)}{2 \times 12} \times \frac{R}{100}$[/tex]
[tex]$SI = 1000 \times \frac{12(12+1)}{2 \times 12} \times \frac{R}{100}$[/tex]
SI = 65 R
So we know,
maturity value = principal amount + SI
12715 = 1000 + 65 R
65 R = 12715 - 1000
65 R = 11715
R = 18%
So the rate is 18%
Answer:
[tex]R=11\%[/tex] p.a.
Step-by-step explanation:
Given:
the principal amount deposited each month, [tex]P=Rs. 1000[/tex]
amount after maturity of one year, [tex]A=Rs. 12715[/tex]
We have the formula as:
[tex]I=\frac{PR}{100}\times\frac{T(T+1)}{2\times 12}[/tex]
where:
R = rate of interest per annum
T = time in months
[tex]A-12P=\frac{PR}{100}\times\frac{T(T+1)}{2\times 12}[/tex] [since the principal is deposited each month]
[tex]715=\frac{1000\times R}{100}\times \frac{12\times 13}{24}[/tex]
[tex]R=11\%[/tex] p.a.
Write in factored form
m^2 - n^4
The answer is : [tex]\left(m+n^2\right)\left(m-n^2\right)[/tex]
Here are the steps below to help you! ^^
someone please help!!
Answer:
f(-8) = 64
Step-by-step explanation:
Since x =-8, we need to use x^2 since -8 <0
(-8)^2 = 64
When x = -8 f(-8) = 64
Answer:
B
Step-by-step explanation:
There are 2 functions, one if x > 0 and one if x < 0
The x we are given is -8, and -8 is less than 0
Plug -8 into the function for if x < 0, which is x^2
(-8)^2=64
Which best describes the relationship between the line that
passes through the points (1, -6) and (3,-2) and the line that
passes through the points (4,8) and (6, 12)?
A. parallel
B. same line
C. neither perpendicular nor parallel
D. perpendicular
Match each equation to its graph. Use the drop-
down menus to describe the equations.
Answer:
D. y=x+1 Linear
A. y=x^2 Quadratic
B. y=(3/2)^x Exponential
C. y=x^2+2/x^2-2 Rational
Step-by-step explanation:
got it right :)
The correct option for the equations are:
y=x+1 : Option Dy=x²: Option Ay=(3/2)ˣ: Option By=(x²+2)/(x²-2) : Option C What is a linear equation?The linear equation is an equation whose highest degree of the variable is 1 which represents the graph of the straight line.
For example y=2x+3
What is a quadratic equation?The quadratic equation is an equation whose highest degree of the variable is 2 and it has at most 2 solutions.
For example, y=3x²
Here given that the functions are given in the figure and we have to identify the appropriate graph.
Checking all the equations individually
y=x+1 the correct option for this equation is Option D as it is a linear equation that represents a straight line.y=x² the correct option for this equation is Option A as it is a quadratic equation that represents a parabola.y=(3/2)ˣ the correct option for this equation is Option B as it is an exponential equation that represents an exponential graph such as the graph of y=aˣ.y=(x²+2)/(x²-2) the correct option for this equation is Option C as from the equation it is clear that it is symmetrical about the y-axis and it is negative for the value x²<2⇒ -√2<x<√2 which matches with the graph in Option D.Therefore the correct option for the equations are:
y=x+1 : Option Dy=x²: Option Ay=(3/2)ˣ: Option By=(x²+2)/(x²-2) : Option CLearn more about linear equation
here: https://brainly.com/question/14323743
#SPJ2
Na
C
9
Which rule describes the transformation?
Parallelogram ABCD is rotated to create image
A'B'C'D'.
SEE
0 (x, y) - (y, -x)
O (x, y) + (-y, x)
O (x, y) + (-X, -y)
(x, y) - (x,-y)
5
VX
4
R
D
2
1
C
-5.-5.4.-3.-2.-
23
4
SIB
Х
2
D
A
C
B
no
Answer:
(x, y) → (y, -x)
Step-by-step explanation:
The coordinates of the vertices of parallelogram ABCD are; A(2, 5), B(5, 4), C(5, 2), and D(2, 3)
The coordinates of the vertices of parallelogram A'B'C'D' are; A'(5, -2), B'(4, -5), C'(2, -5), and D'(3, -2)
The rule that escribes the transformation of the rotation of parallelogram ABCD to create the image A'B'C'D' is presented, by observation, is therefore;
(x, y) → (y, -x)
The resulting transformation used will be (x, y) -> (y, -x)
Transformation of coordinatesTransformation are rules applied to an object to change its orientation
For the given parallelogram, in order to know the rule used, we need the coordinate of the image and preimage
The coordinate of A is (2, 5) while that of A' is (5, -2).
From both coordinates, you can see that the coordinate was switched and the resulting y coordinate negated.
Hence the resulting transformation used will be (x, y) -> (y, -x)
Learn more on transformation here: https://brainly.com/question/17311824
Point T is on line segment SU. Given ST = 4x – 4, TU = 4x – 10, and
SU = 5x + 1, determine the numerical length of TU.
Answer: TU =
42°
Х
please help with this
Answer:
X=48degrees.
Step-by-step explanation:
Sum of all angle of traingle=180degrees.
So, 90+42+X=180
132+X=180
X=180-132=48degrees
8a^3-36a^2+54a-27-64p^3
Answer:
8a^3-64p^3-36a^2+54a-27
Step-by-step explanation:
since it no common variable so it can not be further solved
Help asap struggling
Answer:
..D).... x = 8..
Step-by-step explanation:
..x = 8..
In triangle ABC, AC=13, BC=84, and AB=85. Find the measure of angle C
Answer:
the answer is the number 6
Someone help asappppp
Answer:
all have "bases" less than one which is a decay...
only "C" is greater than 1 (1.01)
"C" is the answer
Step-by-step explanation:
what is this please tell answer
Answer:
x=6, y=4, z=8
(c) 6I hope this is helpful!
Brianna's Bakery offers 3 flavors of bagels. Customers can choose from plain, cinnamon, or blueberry bagels. Yesterday, a customer ordered 144 bagels for a company meeting. The order was for twice as many blueberry bagels as plain bagels and 3 times as many cinnamon bagels as blueberry bagels.
How many cinnamon bagels did the customer order
Answer:
96 darling
Step-by-step explanation:
youre gonna take all the times this was teice as mich as that
like this:blueberrybagel twice as much 2
than plain bagels 1
cinnamonbags 3 times as much than
blueberry bagels 2×3= 6+
=9
EACH portion contains144:9=16 bagels
blueberry ones16×2=32
plain ones16×1=16
cinnamon ones 3×32=96
At the city museum, child admission is and adult admission is . On Wednesday, three times as many adult tickets as child tickets were sold, for a total sales of . How many child tickets were sold that day
Complete question :
At the city museum, child admission is $6.30 and adult admission is $9.80. On Wednesday, three times as many adult tickets as child tickets were sold, for a total sales of $ 1178.10 . How many child tickets were sold that day?
Answer:
33 children ticket
Step-by-step explanation:
Let :
Number of Child admission = x
Number of Adult admission = y
On Wednesday ;
y = 3x
9.80y + 6.30x = 1178.10
9.80(3x) + 6.30x = 1178.10
29.40x + 6.30x = 1178.10
35.70x = 1178.10
x = 1178.10 / 35.70
x = 33
What is the Answer to: 120 Times 2/3
Answer:
80
Step-by-step explanation:
You could multiply by 2 and then divide by 3
120*2 = 240
240/3 = 80
Or you could divide by 3 and then multiply by 2
120/3 = 40
40*2 = 80
Answer:
80Step-by-step explanation:
120 × 2/3= 120/1 × 2/3= 240/3= 80[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
PLEASE HELP ASAP !! IF I DONT FINISH THIS HOMEWORK ILL GET GROUNDED .
A group of 11 students participated in a quiz competition. Their scores are shown below:
Scores
7 8 3 6 3 14 4 3 2 3 5
Part A: Would a dot plot, a histogram, or a box plot best represent the range of scores of the students by quartiles. Explain your answer. (4 points)
Part B: Provide a step-by-step description of how you would create the graph named in Part A. (6 points)
Answer:
A) Histogram
Step-by-step explanation:
A) The first step would be to look at the purpose and use for each type of plotting method;
Dot Plot: Used to represent the distribution of data (for ex; #of Strawberries, Blueberries, and Raspberries.
Histogram: A histogram is used to summarize discrete or continuous data. In other words, it provides a visual interpretation of numerical data by showing the number of data points that fall within a specified range of values
Box Plot: Summerizes a set of data measured on an interval scale.
Best choice: Histogram- The reason why a histogram is the best representation of the student quartiles is because a histogram is used to summarize discrete or continuous data, and the given data is discrete
B)
To create your histogram you first have to create a frequency table like the one below;
On the vertical axis, place frequencies. Label this axis "Frequency".
On the horizontal axis, place the lower value of each interval. Label this axis with the type of data shown (Score, etc.)
Draw a bar extending from the lower value of each interval to the lower value of the next interval. The height of each bar should be equal to the frequency of its corresponding interval.
That's how it's done!
Answer:
this is only for part a: a histogram
Step-by-step explanation: a histogram is like a bar graph and instead of putting dots or X's just graph it its much easier
Find the value of the constant m √150 - √12m + √54 = 0
Answer:
m is √2
Step-by-step explanation:
[tex]{ \tt{ \sqrt{150} - \sqrt{12}m + \sqrt{54} = 0 }} \\ { \tt{ \sqrt{12}m } = \sqrt{150} - \sqrt{54} } \\ { \tt{ (\sqrt{4 \times 3}) m = ( \sqrt{25 \times 6} ) - ( \sqrt{9 \times 6}) }} \\ { \tt{( \sqrt{4 \times 3} )m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3}m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3} m = 2 \sqrt{6} }} \\ { \tt{ \sqrt{3} m = \sqrt{6} }} \\ { \tt{ \sqrt{3} m = ( \sqrt{3} \times \sqrt{2} ) }} \\ { \tt{m = \sqrt{2} }}[/tex]
of (3, -2) reflected across the line x = 1 is?
Answer: (-1, -2)
===========================================================
Explanation:
Plot (3,-2) on the xy grid. Then draw a vertical line through 1 on the x axis.
Note that the horizontal distance from the point to the line is exactly 2 units. We move 2 units to the left to go from (3,-2) to (1,-2). Then we move another 2 units to the left to arrive at the final destination of (-1, -2)
In short, (3,-2) reflects over the vertical line x = 1 to get to (-1, -2)
See the diagram below.
Which table represents a function?
Answer:
The last one
Step-by-step explanation:
All the other tables have repeating x values
I hope this helps!
pls ❤ and give brainliest pls
____×____=126
Fill the blank pls I need it fast
Answer:
Answer for this is 62 * 2 = 126
Step-by-step explanation:
Answer:
14×9=126
Step-by-step explanation:
how do you explain it lol
A ∆ has Č = 90°, Â = 26° and = 30, Find the Angle BC, Side AB and BC.
Answer:
B = 64°
AB = 33.378
BC = 14.632
Step-by-step explanation:
Given the right angled triangle ;
Angle B = 180 - (90 + 26) (sum of angles in a triangle)
Angle B = 180 - 116
Angle B = 64°
Side AB = c
Using trigonometry :
Sin B = opposite / hypotenus
Sin 64 = 30/AB
AB = 30 / Sin64
AB = 33.378
Side BC ;
Sin A = BC / AB
Sin 26 = BC / 33.378
BC = 33.378 * Sin 26
BC = 14.632
The Line segments are translated 2 units to the left to form A’B’ and C’D’. Which statement describes A’B’ and C’D’?
Answer:
Line segments A'B' and C'D' do not intersect and are the same distance apart as AB and CD.
Step-by-step explanation:
3x + ky = 8
X – 2ky = 5
are simultaneous equations where k is a constant.
b) Given that y = 1/2 determine the value of k.
Answer:
(a): x is 3 and ky is -1
(b): k is -2
Step-by-step explanation:
Let: 3x + ky = 8 be equation (a)
x - 2 ky = 5 be equation (b)
Then multiply equation (a) by 2:
→ 6x + 2ky = 16, let it be equation (c)
Then equation (c) + equation (b):
[tex] { \sf{(6 + 1)x + (2 - 2)ky = (16 + 5)}} \\ { \sf{7x = 21}} \\ { \sf{x = 3}}[/tex]
Then ky :
[tex]{ \sf{2ky = 3 - 5}} \\ { \sf{ky = - 1}}[/tex]
[tex]{ \bf{y = \frac{1}{2} }} \\ { \sf{ky = - 1}} \\ { \sf{k = - 2}}[/tex]
Simultaneous equations are used to represent a system of related equations.
The value of k when [tex]y = \frac 12[/tex] is -2
Given that:
[tex]3x + ky = 8[/tex]
[tex]x - 2ky = 5[/tex]
[tex]y = \frac 12[/tex]
Substitute [tex]y = \frac 12[/tex] in both equations
[tex]3x + ky = 8[/tex]
[tex]3x + k \times \frac 12 = 8[/tex]
[tex]3x + \frac k2 = 8[/tex]
[tex]x - 2ky = 5[/tex]
[tex]x - 2k \times \frac 12 = 5[/tex]
[tex]x - k = 5[/tex]
Make x the subject in [tex]x - k = 5[/tex]
[tex]x = 5 + k[/tex]
Substitute [tex]x = 5 + k[/tex] in [tex]3x + \frac k2 = 8[/tex]
[tex]3(5 + k) + \frac k2 = 8[/tex]
Open bracket
[tex]15 + 3k + \frac k2 = 8[/tex]
Multiply through by 2
[tex]30 + 6k + k = 16[/tex]
[tex]30 + 7k = 16[/tex]
Collect like terms
[tex]7k = 16 - 30[/tex]
[tex]7k = - 14[/tex]
Divide both sides by 7
[tex]k = -2[/tex]
Hence, the value of constant k is -2.
Read more about simultaneous equations at:
https://brainly.com/question/16763389
find the surface area of the cylinder and round to the nearest tenth
Answer: A = 833.66 in^2
Step-by-step explanation:
Area of the base = (7^2)(pi) = 49 pi = 153.9 in^2
Height of the cylinder = 12 in
Circumference of the base = (2)(pi)(r) = 44in
Surface area = (2)(pi)(7)(12) + (2)(pi)(7) = 833.66 in^2
ABCD is a rectangle. AB = 3x+5, AC = 7x-9, BC = 2y+5, BD = 2x+62. Solve for x. (Round your answer to one decimal place, if necessary.)
Answer:
x=14.2
Step-by-step explanation:
AC = BD
The diagonals of a rectangle are equal
7x-9 = 2x+62
Subtract 2x from each side
7x-9-2x = 2x+62-2x
5x-9 = 62
Add 9 to each side
5x-9+9 = 62+9
5x= 71
Divide by 5
5x/5 = 71/5
x=14.2
Mahmoud earns $450 per week plus a 20% commission as a car salesman. He wants his
hourly salary to be at least $35.
The inequality that relates the number of hours to the weekly sales is:
[tex]450 + 0.20x \ge 35y[/tex]
The complete question implies that we define an inequality that represents the relationship between the number of hours worked in a week and the weekly sales
We make use of the following representation:
[tex]x \to[/tex] weekly sales from cars.
[tex]y \to[/tex] hours worked in a week
His weekly salary is then calculated as:
Salary (S) = Earnings per week + Commission * Sales from car
So, we have:
[tex]S = 450 + 20\% * x[/tex]
Express percentage as decimal
[tex]S = 450 + 0.20* x[/tex]
[tex]S = 450 + 0.20x[/tex]
Assume he works for y hours in a week.
His hourly rate is:
[tex]Hourly = \frac{S}{y}[/tex] --- i.e. weekly salary divided by number of hours
[tex]Hourly = \frac{450 + 0.20x}{y}[/tex]
For this rate to be at least [tex]\$35[/tex], the following condition must be true
[tex]Hourly \ge 35[/tex] --- i.e. is hourly rate must be greater than or equal 35
So, we have:
[tex]\frac{450 + 0.20x}{y} \ge 35[/tex]
Multiply both sides by y
[tex]450 + 0.20x \ge 35y[/tex]
Learn more about inequality:
https://brainly.com/question/20383699
Need answers now. Not good with geometry or Algebra.
Answer:
x = 4.98
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 50 = x/6.5
6.5 sin 50 =x
x=4.97928
x = 4.98
Last week, Gina's art teacher mixed 9 pints of red paint with 6 pints of white
paint to make pink. Gina mixed 4 pints of red paint with 3 pints of white
paint to make pink.
Yesterday, Gina again mixed red and white paint and made the same
amount of paint, but she used one more pint of red paint than she
used last week. Predict how the new paint color will compare to the
paint she mixed last week.
Answer:
Step-by-step explanation:
First mix: 4 pints red and 3 pints white = 7 pints in 4:3 ratio.
Second mix: 5 pints red and 2 pints white = 7 pints in 5:2 ratio
Second music is redder than first mix.
The perimeter of a rectangle is 40 inches. If the width is 9 inches, what is the area of the rectangle?
Answer:
99 in²
Step-by-step explanation:
Perimeter = 2(length) + 2(width)
40 = 2(length) + 2(9)
40 = 2L + 18
40 - 18 = 2l
22 = 2l
L = 11
Area = length x width
Area = 9 x 11 = 99
99 square inches
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer: 360
Step-by-step explanation:
you multiply 40 and 9.
first you multiply 9 and 0 that is 0 then 9 to 4 and that is 36 so you get 360
A furniture store is having a sale on sofas and you're going to buy one. The advertisers know that buyers get to the store and that 1 out of 5 buyers change to a more expensive sofa than the one in the sale advertisement. Let X be the cost of the sofa. What is the average cost of a sofa if the advertised sofa is $250 and the more expensive sofa is $450
Answer:
$290
Step-by-step explanation:
We are told that 1 out of 5 buyers change to a more expensive sofa than the one in the sale advertisement.
Now we are told that the advertised sofa is $250 and the more expensive sofa is $450.
Thus;
P(x) for expensive sofa = 1/5
P(x) for sofa in sale advertisement = 4/5
Thus, expected value is;
E(X) = (1/5)450 + (4/5)250
E(x) = 90 + 200
E(x) = $290
Answer:
The average cost of a sofa = [tex]\$290[/tex]Step-by-step explanation:
Cost of advertised sofa = [tex]\$250[/tex]
Cost of more expensive sofa = [tex]\$450[/tex]
So, the average cost of sofa,
[tex]E(x) = (450*\frac{1}{5})+ (250*\frac{4}{5})\\\\E(x) = 90 + 200\\\\E(x) = 290[/tex]
Hence,
The average cost of a sofa = [tex]\$290[/tex]
For more information, visit
https://www.bartleby.com/questions-and-answers/question-13-a-furniture-store-is-having-a-sale-on-sofas-and-youre-going-to-buy-one.-the-advertisers-/61410cf1-5b19-4491-9893-42336374e48e
