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.
Which numbers represent the solutions to the inequality below? Check all that apply.
Use the division expression 8/12÷9/12.
Answer:
Step-by-step explanation:
What happens when an electrically charged pencil is placed close to water running from a faucet?
The pencil attracts the water.
The pencil becomes positively charged.
The water attracts the pencil.
The water repels the pencil.
Holly's soccer team is trying to raise $2,100 to travel to a tournament in Florida, so they decided to host a pancake breakfast. Each person must pay $30 for the breakfast. How many people need to attend their breakfast in order to raise $2,100?
Answer:
70 people
Step-by-step explanation:
30 dollars for each person, so you divide 2,100 by 30 to find how many people.
2,100/30=70
Answer:
70
Step-by-step explanation:
Target=$2,100
Money Earned from a single person=$30
Number of persons=$2,100 /$30 = 70
Thus, 70 people need to attend their breakfast in order to raise $2,100
Given the linear equation r=-2.5 t and t can only be a negative number, what quandrant will the r coordinate be located?
Answer:
quadrant 4 i think
Step-by-step explanation:
Answer:
Actually the correct answer is 2
Step-by-step explanation:
f) create a residual plot for your data.
g) does your residual plot show that the linear model from the regression calculator is a good model?
h) using your equation estimate the gpa of a student who studies for 15 hours a week.
PLSSSSS NEED HELP
Answer: Consider the plot created from the residuals of a line of best fit for a set of data. Does the residual plot show that the line of best fit is appropriate for the data? Yes, the points have no pattern.
Step-by-step explanation:
The period of the function, y=cos(4x)is how many degrees?
420 seconds to 10 minutes
Answer:
420 seconds is equal to 7 min
So 7 to 10 or 7 : 10
pls brainliest
These are the steps that you should follow in order to make the necessary calculations to convert 420 Seconds to Minutes. In order to convert from [s] to [min], we have to devide the amount of Seconds by 60.
Then the second step, is to substitute the amount of Seconds with the value of 420 and calculate the division. After successfuly calculating it the result should for 420 Seconds to Minutes should be 7
So 7 to 10 or 7 : 10
Hope this helped!
Have a great day
Write a linear equation that passes through pairs would be perpendicular to the equation the point (2, -9) and has a slope of -5 in y = 4x - 1?
A A equation that’s perpindicular to y = 4x - 1 and passes through the point (2, -9) is…
Answer: y = -3/4x - 15/2
Explanation: Opposite reciprocal slopes and plug in -9 with y and 2 with x then solve for b
-9 = -1.5 + x
x = -15/2
Compare the graph of Car A to the table of Car B to determine which car is traveling at the greates
speed and by how much. Show work.
Answer:
Car a is moving at 15 miles per hour
Its slope is 15/1
Its equation is y = 15x
Car b is moving at 7.5 miles per hour
Its slope is 7.5
Its equation is y = 7.5x
Car a is moving twice as fast as car b
Step-by-step explanation:
But here's how you solve
Chose 2 points and find the change in y and change in x, then divide in the same order.
Point 1: (1, 15)
Point 2: (2, 30)
Change in y = 15
Change in x = 1
y = miles
x = hours
15 miles/1 hour
You can also do this
Pick a point and just divide it's y by its x. For example:
(4, 60)
60 miles/4 hours
15 miles per hour
Now that we have the slope, we can get the equation for the graph:
y = 15x + 0
or just y = 15x, because there is no y-intercept
Now let's solve for car b:
Chose a point:
(3, 22.5)
Divide its y by its x
22.5/3
7.5
Car b is moving at 7.5 miles per hour
Now that we have the slope, we can get the equation for the graph:
y = 7.5x + 0
or just y = 7.5x, because there is no y-intercept
Compare the speeds
Car a: 15 mph
Car b 7.5 mph
15 > 7.5
So, Car a > Car b
15/7.5 = 2
So Car a moves twice as fast as Car b
A van travels 300 miles on 15 gallons of gas. Find how many gallons the van needs to travel 360 miles
Answer: The Van needs 18 gallons of gas to travel 360 miles.
one will get the brainliest,Help me! to do this..i have been confused of this..please help
Simplify: (5/7-1/2 ) ×2 4/5 .
Simplify : 7/12 ÷( 1 1/3-3/4 )
Simplify∶ 2/3 ÷(1/2 ×4/5)
Simplify : (1/2+1/3) ÷ 1 2/3
Simplify : 2 1/3 ×2/7+1/4
Simplify : 3/4 of ( 3/5 + 1/3 )
Simplify : 3 1/3 of ( 3/5 -1/2 )
Simplify : ( 1 3/4 -1/2 ) ×2 1/5
Simplify : ( 5/9 –1/3 ) ÷2
Simplify : 1/4 +( 2 1/3 ×2/7 )
Simplify : 1/7 of ( 6 3/8 -1/4 )
Simplify : 5/11 of ( 1/2 + 3/5 ) ( 12 ×5 marks)
(13)From the books presented to a school library, 1/3 are educational publications
1/5 are literary publications, 3/7 of the remaining are translations. The
remaining books are children’s stories.
(i) What fraction of the total number of books is the educational and lite
1) 0.6
2) 1
3)1.66666666667
4)0.5
5)0.91666666666
6)0.7
7)0.333333333
8)2.75
9)0.111111111111
10)0.91666666666
11)0.875
13) i think this is it
8/15
Jolene is creating a model of a pyramid. The model created will need to be scaled up from the blueprint. triangle ACB, point D is on segment AC between points A and C, point E is on segment BC between points B and C If segments DE and AB are parallel, which of the following expressions will help Jolene determine the length of segment AC? AC equals CB times CD all over CE AC = AB AC equals CB times AC all over CE AC = BC
Answer:
AC equals CB times CD all over CE
The lengths of the sides of the scaled drawing can be determined from the
relation between similar triangles.
The expression that will help Jolene determine the length segment AC is the option;
[tex]\displaystyle \underline{CD= \frac{CB\cdot CD}{CE}}[/tex]Reasons:
The given parameters are;
The figure Jolene is trying to create = A scaled up blue print
Given that in ΔACB and ΔABC, we have;
DE and AB are parallel
Therefore;
∠CED ≅ ∠CBA by corresponding angles
∠CDE ≅ ∠CAB by corresponding angles
∠C ≅ ∠C by reflexive properties
ΔCDE ~ ΔACB by Angle-Angle similarity postulate
Therefore, by similar triangles, and triangle proportionality, we have;
[tex]\displaystyle \frac{AC}{CD} = \mathbf{\frac{CB}{CE}}[/tex]
Therefore;
[tex]\displaystyle CD= \mathbf{ \frac{CB\cdot CD}{CE}}[/tex]
Therefore, if segments DE and AB are parallel, the expression that will help Jolene determine the length segment AC is; [tex]\displaystyle CD= \frac{CB\cdot CD}{CE}[/tex]
Learn more about similar triangles here:
https://brainly.com/question/14445094
Predict what you will see at the end of your experiment in part C. How would these results demonstrate fossilization? (Image just in case)
Answer:
The fossils would look weird and sometimes they might not be the exact shape as before because they've grown with the earth meaning they're going to come out of the ground go back under and what not, Its hard to tell how deep a fossil can be in the ground because of how many years ago it was because how much the earth has grown.
Step-by-step explanation:
Multiply
(-4-71)(3 – 52)
Enter your answer, in standard form
A 16 ounce box of a certain cereal cost $2.24 what is the cost per ounce of the cereal
Answer:
$0.14 per ounce
Step-by-step explanation:
Divide $2.24 by 16 and theres your answer
Please answer number 5 only
Answer:
y=3
x=2
Step-by-step explanation:
3 x 18 =54
2 x 12 = 24
54+24=78
Answer:
x = 2; y = 3
Step-by-step explanation:
x + y = 5
12x + 18y = 78
Do system of equation
-> x = 2; y = 3
theres 6 bags and 185 rasins how many are in each bag
Answer:
1110
Step-by-step explanation: If it was multiplication it would 1110 but you cat divide 185 by 6 so if it was 186, not 185 and you divided by 6 you would get 31 hope this helps
For each pair of shapes, decide whether or not Shape A is congruent to Shape B. Englan your meaning
First pair
Answer:
blah blah blah blah blah
H.C.F of 4,5 and 10 in Division method
Answer:
63
Step-by-step explanation:
yan po sagot ko Hindi ko po alam kung tama o Hindi basta yan po sagot ko...
Answer:
20
Step-by-step explanation:
20 ÷ 2 = 10
20 ÷ 5 = 4
20 ÷ 4 = 5
Pat's English class is located in the same quadrant as the gym. Which of the following could be the coordinates of the English classroom? (4 points) ASAP
(2, 5)
(−2, 5)
(−2, −5)
(2, −5)
Answer its (-2,5)
if its on q2
what is 4+4
This is for
ThomasBrennan1
Answer:
8
Step-by-step explanation:
1+1+1+1+1+1+1+1=8
take 4 ones and group them into 2 groups gives you 8
Abigail surveyed 40 students about their favorite kind of movie. The results are shown in the table. If there are 200 students in the school, predict how many more students prefer action movies to scary movies.
Answer:
Where is the Table?
Step-by-step explanation:
The number of students which prefer action-movies to scary movies are 25 students.
To predict how many more students prefer action movies to scary movies, we calculate difference based on proportion of students who prefer action movies from surveyed group and then apply that proportion to total number of students in school,
Number of students who prefer action movies = 14,
Total surveyed students = 40,
Total school students = 200,
Proportion of students who prefer action movies = (Number of students who prefer action movies) / (Total surveyed students),
Proportion of students who prefer action movies = 14/40 = 0.35,
Predicted number of students who prefer action movies in school = Proportion of students who prefer action movies × Total school students
Predicted number of students who prefer action movies = 0.35×200 = 70,
Predicted number of students who prefer scary movies in the school = (Number of students who prefer scary movies) / (Total surveyed students) × Total school students,
Predicted number of students who prefer scary movies = (9/40)×200 = 45
Difference = (Predicted number of students who prefer action movies) - (Predicted number of students who prefer scary movies),
Difference = 70 - 45 = 25,
Therefore, the correct prediction is that 25 more students prefer action movies to scary-movies.
Learn more about Prediction here
https://brainly.com/question/25716361
#SPJ3
The given question is incomplete, the complete question is
Abigail surveyed 40 students about their favorite kind of movie. The results are shown in the table. If there are 200 students in the school, predict how many more students prefer action movies to scary movies.
please help on number 8!! it would be much appreciated
Answer:
a.) 135 degrees
b.) 45 degrees
c.) 45 degrees
Step-by-step explanation:
Use this link to see a visual representation on how to solve for these types of angles, it lets you click on any type of angle and see how it corresponds to other angles within the parallel line and traversal, give it a try!
https://www.mathsisfun.com/geometry/alternate-exterior-angles.html
Which term of ap 30,27,24is0
Answer:
11th term is 0
Step-by-step explanation:
30, 27 , 24 ,......0
a = first term = 30
Common difference = second term - first term = 27 - 30 = -3
nth term = a+(n-1)*d
a + (n-1)d = 0
30 + (n - 1) *(-3) = 0
30 + n*(-3) -1*(-3) = 0
30 - 3n + 3 = 0
-3n + 33 = 0
-3n = -33
n = -33/-3
n = 11
In a neutral atom that has an atomic mass of 22 and atomic number of 12, how many neutrons does this element have?
Given :
In a neutral atom that has an atomic mass of 22 and atomic number of 12.To Find :-
The number of neutrons .Solution :-
As we know that,
n(neutrons) + n(protons) = A n(neutrons) + 12 = 2 2n(neutrons) = 22-12n(neutrons) = 10Hence the required answer is 10.
Answer:
10 neutrons
Step-by-step explanation:
no.of neutrons = atomic mass - Atomic number
no.of neutrons= 22-12
=10
What is 29 divided by 0174620
0.0001660749
29÷0174620= 0.0001660749
hope this helped you- have a good day bro cya)
Answer:166.0749055091055
Juan cut StartFraction 5 Over 12 EndFraction of a yard of cloth into 5 pieces of equal length. What was the length of each piece of cloth?A. StartFraction 1 Over 60 EndFraction of a yardB. StartFraction 1 Over 25 EndFraction of a yardC. StartFraction 1 Over 12 EndFraction of a yardD. One-fifth of a yard
Answer:
It is c
Step-by-step explanation:
4/5 - 3/8
plz help me might give brainlist
Answer:
17/40
Step-by-step explanation:
4/5-3/8=32/40-15/40
=17/40
Answer:
Solution:
17/40 Alternative form 0.425
Step-by-step explanation:
Explanation how:
Write all numerators above the least common denominator 40
32-15/40
hope to help
A pizza has a radius of 7 inches. If it is cut into 6 equal slices, what is the area of each slice?
14.66 square inches
25.66 square inches
7.33 square inches
49 square inches
Answer:25.66 in^2/slice. Except for mine. It is 123.34 in^2.
Step-by-step explanation:
Area = pi*r^2
Area = 153.94 in^2
(153.94 in^2)/6 = 25.66 in^2