Given info:
Compound Interest = Rs.1290
Rate of Interest = 15% p.a
Time = 2 years
Formula we have to know:-[tex] \dag{\underline{\boxed{\sf{C.I = P \bigg(1 + \dfrac{R}{100} \bigg)^{n} - 1}}}}[/tex]
Where
C.I = Compound Interest
P = Principle
R = Rate of Interest
N = Time
[tex]\textsf{ \underline{Solution-}}\\[/tex]
Here
C.I = Rs.1290
R = 15%
N = 2 years
Principle = ?
Now,Calculating the sum (Principle) borrowed by Rachna
[tex] \quad{: \implies{\sf{C.I = \Bigg[P \bigg(1 + \dfrac{R}{100} \bigg)^{n} - 1 \Bigg]}}}[/tex]
Substituting the given values
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(1 + \dfrac{15}{100} \bigg)^{2} - 1 \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{(1 \times 100) + 15}{100} \bigg)^{2} - 1 \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{115}{100} \bigg)^{2} - 1 \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{115}{100} \times \dfrac{115}{100} \bigg) - 1 \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{13225}{10000} \bigg) - 1 \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg( \cancel{\dfrac{13225}{10000}} \bigg) - 1 \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg({1.3225 - 1} \bigg) \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = P \times {0.3225}}}}[/tex]
[tex]\quad{: \implies{\sf{\dfrac{1290}{0.3225} = P}}}[/tex]
[tex]\quad{: \implies{\sf{\dfrac{1290 \times 1000}{0.3225 \times 1000} = P}}}[/tex]
[tex]\quad{: \implies{\sf{\dfrac{12900000}{3225} = P}}}[/tex]
[tex]\quad{: \implies{\sf{\cancel{\dfrac{12900000}{3225}} = P}}}[/tex]
[tex]\quad{: \implies{\sf{Rs.4000 = P}}}[/tex]
[tex]\quad{\dag{\underline{\boxed{\tt{\blue{Principle} = \purple{Rs.4000 }}}}}}[/tex]
[tex]\begin{gathered}\end{gathered}[/tex]
Hence,
The sum (Principle) is Rs.4000.
in the quadratic equation, what is the value, a, in order to form a perfect square x^2-8x+a=0;
Answer:
16
Step-by-step explanation:
x² - 8x + 16 will become ( x - 4 ) ( x - 4 ) or ( x - 4 )²
Write the equation of the parabola in vertex form.
vertex (3,1), point (2, - 4).
f(x)=
)
w
write the exponential equation given a starting value of 7.5 and a decay rate of 7.5%
Answer:
A used car has a value of $15,250 when it is purchased in 2012. The value of the car decreases at a rate of 7.5% per year.
Write an exponential function that models the value of the car, y, over x years.
To the nearest cent, what will be the value of the car after eight years?
Step-by-step explanation:
There were 110 students at a creative writing workshop last year. This year there are 132 students. What is the percent of increase in the number of students at the workshop?
Answer:
20% increase
Step-by-step explanation:
the initial number is 110 so lets take that as a 100%
the final number is 132 and it will be x
110/132=100/x
we multiply the numerator of the first fraction with the denominator of the second fraction and vice versa.
110*x=132*100
110x=13200
x=120
Then we deduct 120 by 100 to know how much the percent increase is
(120-100)%=20% :)
Employees from a local store
donated picnic supplies for the end of the
school year picnic. They donated 20 packs
of 12 forks. 10 packs of 12 spoons, 5 packs of
10 knives, and 175 paper plates. How many
picnic items were donated?
What is the value of 12+2(12-9)power 2 WITH CALCULATIONS
Answer:
30
Step-by-step explanation:
I don't know how to explain it sorry but can I still get brainliest please
Answer:
30
Step-by-step explanation:
1) Simplify 12 - 9 to 3.
12 + 2 × 3²
2) Simplify 3² to 9.
12 + 2 × 9
3) Simplify 2 × 9 to 18.
12 + 18
4) Simplify.
30
There are 20 marbles in a bag. 16 are red. The remaining are white. What is the probability of selecting a red marble
Answer:
You would have a 80% chance.
Step-by-step explanation:
16 out of 20 is equal to 80%. ( I can't really explain how I got 80% -_-. ) Let me know if I'm wrong.
not sure how to do this, could use some help. : )
Answer:
The GCF equal;
[tex] {x}^{3} y {z}^{2} [/tex]
I hope I helped you^_^
Find x
Please show your work
Answer:
I think it would be
A= 3/5
B= 7/6
May I please receive help?
Please
Answer:
put it in desmos.................
Evaluate. 2 > 8 - 4/3h
Answer: h>9/2
Step-by-step explanation:
Farid's friend can't eat wheat, so Farid is baking him a loaf of gluten-free raisin bread. He mixes the dough and leaves it in a bowl to rise. Then, Farid forms the dough into a loaf and puts it in a pan to rise for another 1 /2 of an hour. In all, the dough rises for 1 3 /4 hours.
LOOK AT PICURE!! WHOEVER IS CORRECT I WILL MARK BRAINIEST!!
Answer:
This angle is not a right angle from what it looks like, but this angle if you turn it sideways, angle JKN should be a little more than 90 which classifies it as an obtuse angle.
I need helppp plzz
i'll brainliest
Answer:
Step-by-step explanation:
Since B is the midpoint, AB must be equal to BC.
AB = BC
7x - 4 = 3x + 32
Isolate the variable
7x - 4 = 3x + 32
4x = 36
x = 9
Now solve for one side.
AB = 7x - 4
AB = 7(9) - 4
AB = 59
Since both sides are equal, finding AC just means multiplying one side by 2.
AC = AB * 2
AC = (59) * 2
AC = 118
You can double check by finding the other side and multiplying by 2.
BC = 3x + 32
BC = 3(9) + 32
BC = 27 + 32
BC = 59
AC = BC*2
AC = 59*2
AC = 118
Let me know if you have any questions!
There has been a person on here posting the same link to many answers, can you please delete their account? Thanks.
Yeah... they should.
If 34+5=36, 56+2=39, 27+6=45, 47+5=48, 28+1=33, then what is 41+5?
Answer: 56
Step-by-step explanation:
Consider the following graph of a quadratic function.
Part A: How can you quickly determine the intervals with the greatest rate of change by making observations from the graph?
Part B: Which intervals have the greatest rate of change?
Part C: Which intervals have the least rate of change?
Part D: Name two intervals that have equal rates of change.
A graph can increase or decrease at an interval or several intervals
The interval with the longest curve or line represents the greatest change.The intervals with the greatest rate of change are ab and deThe intervals with the least rate of change are bc and cdThe intervals with the equal rates of change are ab and dePart A: How to determine the longest interval
The longest interval will have a great change in the y-values, and a small change in the x-values.
An instance of such interval is interval ab
Part B: Intervals with the greatest rate
Intervals ab and de have equal rates, and they cover the same vertical and horizontal distances, as described in (a) above.
Hence, intervals ab and de have the greatest rate of change
Part C: Intervals with the least rate
Intervals bc and cd have equal rates, and they cover the same vertical and horizontal distances,
Hence, intervals ab and de have the least rate of change
Part D: Intervals with the equal rate
As said in (b) and (c),
Intervals ab and de have equal ratesIntervals bc and cd have equal ratesRead more about intervals and rates at:
https://brainly.com/question/23483858
Explain the parts of an angle
Answer:
line segments are the lines
rays are line segments that have one vertex
a vertex is the endpoint of a line(usually represented by a dot)
Step-by-step explanation:
Susan is an interior floor designer. When designing a new floor, she uses a coordinate grid to
represent the room. The client wants a rectangular tile insert in the floor of the room. The
coordinates for 3 of the corners of the insert are A (-7,-4), B (1,6), and C (6,2).
YA
A rectangle has 4 coordinates.
The coordinate of the last vertex is (-2,-8)
The points are given as:
[tex]\mathbf{A = (-7,-4)}[/tex]
[tex]\mathbf{B = (1,6)}[/tex]
[tex]\mathbf{C = (6,2)}[/tex]
Calculate distance AB
[tex]\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]
So, we have:
[tex]\mathbf{AB = \sqrt{(-7 - 1)^2 + (-4 - 6)^2}}[/tex]
Calculate distance CD
[tex]\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]
So, we have:
[tex]\mathbf{CD = \sqrt{(x - 6)^2 + (y - 2 )^2}}[/tex]
Equate AB and CD
[tex]\mathbf{ \sqrt{(x - 6)^2 + (y - 2)^2} = \sqrt{(-7 - 1)^2 + (-4 - 6)^2}}\\[/tex]
Cancel out the squares
[tex]\mathbf{ (x - 6)^2 + (y - 2)^2 = (-7 - 1)^2 + (-4 - 6)^2}[/tex]
By comparison
[tex]\mathbf{x -6 = -7-1}[/tex]
[tex]\mathbf{y-2 = -4-6}[/tex]
So, we have:
[tex]\mathbf{ x = 6-7-1 }[/tex]
[tex]\mathbf{ x = -2}[/tex]
[tex]\mathbf{y = 2-4-6 }[/tex]
[tex]\mathbf{y = -8}[/tex]
Hence, the coordinate of the last vertex is (-2,-8)
Read more about coordinates at:
https://brainly.com/question/2254540
9sin(2x) sin (x) = 9cos(x)
Answer:
[tex] \sin(2x) = 2 \sin(x) \cos(x) \\ 9( 2 \sin(x) \cos(x) ) \sin(x) = 9 \cos(x) \\ 18 { \sin}^{2} (x)9 \cos(x) - 9 \cos(x) = 0 \\ 9 \cos(x) (2{ \sin}^{2} (x) - 1) = 0 \\ 9 \cos(x) = 0 \: or \: 2{ \sin}^{2} (x) - 1 = 0 \\ \sin(x) = \pm \frac{1}{ \sqrt{2} } \\ \cos(x) = 0 \\ x = { \cos}^{ - 1} (0) \\ x = \frac{ \pi}{2} = 90 \degree \\ x = \frac{ \pi}{2} + 2\pi \: n \: \forall \: n \: \in \: \Z \\ = 90 \degree + 360\degree\: n \: \forall \: n \: \in \: \Z \\ = \pm\frac{ \pi}{4} \pm2\pi \: n \: \forall \: n \: \in \: \Z \\ x = \pm45\degree \pm 360\degree\: n \: \forall \: n \: \in \: \Z[/tex]
Solve and graph the solution.
|4x-13| = 5x+4
Answer: x = -17
Step-by-step explanation:
4x-13=5x+4
(4x-13)+(13-5x)=(5x+4)+(13-5x)
4x-13+13-5x=5x+4+13-5x
4x-5x-13+13=5x-5x+4+13
-x=17
x=-17
Answer:
x = -1
Step-by-step explanation:
/4x-13/ = 5x + 4
4x +5x = -13 +4
9 x = -9
9x = -9
x = -1
Write 5.2 . 10-2 in standard form.
Answer: 5.2×103. = 5.2×1000. = 5200
Step-by-step explanation:
8(x-2)+9<3(x-1)+5x
a. x<-7
b. x<-3
c. no solution
d. all real numbers
thanks!!
Answer:
d
Step-by-step explanation:
AM I RIGHT PLEASE HELP!!!
Calculate the slope of a line that passes through the points (6, -12) and (15,-3).
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (6, - 12 ) and (x₂, y₂ ) = (15, - 3 )
m = [tex]\frac{-3-(-12)}{15-6}[/tex] = [tex]\frac{-3+12}{9}[/tex] = [tex]\frac{9}{9}[/tex] = 1
It says find the product, then list the units. Please explain how to do this! Best explanation gets brainliest
Answer:
$72
Step-by-step explanation:
it is like how much someone earns for 8 hours of work at the rate of $9 per hour.
The rate of the answer is dollars since it's the money earned
The pages of a book are numbered 1 to 200 and each leaf is 0.15 mm thick. If each cover is 2.5 mm thick, calculate the thickness of the book. give your answer in
mm , cm , m
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Thickness of the book is ~
[tex]20 \: mm = 2 \: cm = 0.02m[/tex]Refer to the attachment for solution ~
5x + y over A equals 2, solve for x
Answer:
2+y over 5
Step-by-step explanation:
5x + y =2
5x=2+y
x=2+y over t
Given − 13 x − 23 ≥ 7x + 3,, which property is used below? 3 (−13 x − 23) ≥ 3(7x + 3)
The property used is Division property of equality to get the resulting equation since we divided both sides by 3
Given the inequality expression
3 (−13 x − 23) ≥ 3(7x + 3)
We are to know which of the property is used to arrive at − 13 x − 23 ≥ 7x + 3
We can see that both sides of the expression were divided by 3 as shown:
[tex]\frac{3(-13x-23)}{3} \geq \frac{3(7x+3)}{3}\\-13x-23 \geq 7x+3\\[/tex]
From the division, we will see that the property used is Division property of equality to get the resulting equation since we divided both sides by 3
Learn more here: https://brainly.com/question/15816805
Evaluate for b
50 = -1/3b + 20
Answer:
b= -90
Step-by-step explanation:
30= -1/3b
multiply by negative 3 on both sides to make -1/3 into 1.
-90 = b
Answer:
Solve the rational equation by combining expressions and isolating the variable bb.
Exact Form:
b= -1/90
<5 , <3 , <2, or <4 ? ^^
Answer and Step-by-step explanation:
To figure out the problem, we first need to know what supplementary means. In this question, supplementary (angles) is when two angles are next to each other, and when added together, they add up to 180 degrees.
By looking at the image, we see that angle 1 is next to angles 2 and 5.
Angles 1 and 2 don't look like they will add up to 180 degrees.
Angles 1 and 5 look like they will add up to 180 degrees.
A way to find supplementary angles is by looking at lines that go straight across, with a line intersecting the middle of the line to form the supplementary angles.
#teamtrees #PAW (Plant And Water)
I hope this helps
