1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bogdanovich [222]
3 years ago
5

What sum will amount to rupees 4000 in 3 years at 6% p.a. compound interest​

Mathematics
1 answer:
natali 33 [55]3 years ago
8 0

Answer:

\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline{\color{purple}{Given:}}}}}}}\end{gathered}

  • ⇢ Principle = Rs.4000
  • ⇢ Rate = 6%
  • ⇢ Time = 3 year

\begin{gathered}\end{gathered}

\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline{\color{purple}{To Find:}}}}}}}\end{gathered}

  • ⇢ Amount

\begin{gathered}\end{gathered}

\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline{\color{purple}{Using Formula:}}}}}}}\end{gathered}

{\dag{\underline{\boxed{\sf{Amount  ={P{\bigg(1 + \dfrac{R}{100}{\bigg)}^{T}}}}}}}}

\dag{\underline{\boxed{\sf{Compound \: Interest = Amount- Principle }}}}

\begin{gathered}\end{gathered}

\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline{\color{purple}{Solution:}}}}}}}\end{gathered}

{\bigstar \:{\underline{\pmb{\frak{\red{Firstly,Finding  \: the  \: Amount }}}}}}

\quad {:\implies{\sf{Amount  = \bf{P{\bigg(1  +  \dfrac{R}{100}{\bigg)}^{T}}}}}}

  • Substituting the values

\quad {:\implies{\sf{Amount  = \bf{4000{\bigg(1  +  \dfrac{6}{100}{\bigg)}^{3}}}}}}

\quad {:\implies{\sf{Amount  = \bf{4000{\bigg(1 \times 100  +  \dfrac{6}{100}{\bigg)}^{3}}}}}}

\quad {:\implies{\sf{Amount  = \bf{4000{\bigg( \dfrac{100 + 6}{100}{\bigg)}^{3}}}}}}

\quad {:\implies{\sf{Amount  = \bf{4000{\bigg( \dfrac{106}{100}{\bigg)}^{3}}}}}}

\quad {:\implies{\sf{Amount  = \bf{4000{\bigg({\cancel{\dfrac{106}{100}}{\bigg)}}^{3}}}}}}

\quad {:\implies{\sf{Amount  = \bf{4000{\bigg( \dfrac{53}{50}{\bigg)}^{3}}}}}}

\quad {:\implies{\sf{Amount  = \bf{4000{\bigg( \dfrac{53}{50} \times \dfrac{53}{50} \times \dfrac{53}{50}{\bigg)}}}}}}

\quad {:\implies{\sf{Amount  = \bf{4000{\bigg( \dfrac{148877}{125000}{\bigg)}}}}}}

\quad {:\implies{\sf{Amount  = \bf{4000 \times  \dfrac{148877}{125000}}}}}

\quad {:\implies{\sf{Amount  = \bf{4{\cancel{000}} \times  \dfrac{148877}{125{\cancel{000}}}}}}}

\quad {:\implies{\sf{Amount  = \bf{\dfrac{148877 \times 4}{125}}}}}

\quad {:\implies{\sf{Amount  = \bf{\dfrac{595508}{125}}}}}

\quad {:\implies{\sf{Amount  = \bf{\cancel{\dfrac{595508}{125}}}}}}

\quad {:\implies{\sf{Amount  = \bf{4764.064}}}}

\begin{gathered} \dag{\boxed{\textsf{\textbf{\underline{\color{green}{Amount = {Rs.4764.064}}}}}}}\end{gathered}

  • Hence, The Amount is Rs.4764.064

\begin{gathered}\end{gathered}

{\bigstar \:{\underline{\pmb{\frak{\red{ Now,Finding  \: The \:  Compound \:  Interest }}}}}}

\quad{: \implies{\sf{Compound \: Interest =  \bf{Amount- Principle }}}}

  • Substituting the values

\quad{: \implies{\sf{Compound \: Interest = \bf{4764.064- 4000 }}}}

\quad{: \implies{\sf{Compound \: Interest =\bf{764.064}}}}

\begin{gathered} \dag{\boxed{\textsf{\textbf{\underline{\color{green}{Compound Interest  = Rs.764.064}}}}}}\end{gathered}

  • Henceforth,The Compound Interest is Rs.764064

\begin{gathered}\end{gathered}

\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline{\color{purple}{Learn More:}}}}}}}\end{gathered}

\begin{gathered}\begin{gathered}\begin{gathered} \dag \: \underline{\bf{More \: Useful \: Formula}}\\ {\boxed{\begin{array}{cc}\dashrightarrow {\sf{Amount = Principle + Interest}} \\ \\ \dashrightarrow \sf{ P=Amount - Interest }\\ \\ \dashrightarrow \sf{ S.I = \dfrac{P \times R \times T}{100}} \\ \\ \dashrightarrow \sf{P = \dfrac{Interest \times 100 }{Time \times Rate}} \\ \\ \dashrightarrow \sf{P = \dfrac{Amount\times 100 }{100 + (Time \times Rate)}} \\ \end{array}}}\end{gathered}\end{gathered}\end{gathered}

You might be interested in
Find the mean of the rainfall amounts .
anygoal [31]

Answer:

2.25 inches

Step-by-step explanation:

The mean, or the average, or the rainfall amounts, can be found by adding all of the amounts together and dividing by the number of amounts. In this case, \frac{3+2+1+3}{4}=\frac{9}{4}=2.25. Hope this helps!

6 0
3 years ago
Read 2 more answers
If after 45 minutes han cycled for 6 miles and claire cycled for 9 miles what will the difference between them be after 45 minut
IceJOKER [234]

Answer:

The difference between them will be 6.

Step-by-step explanation:

When they went for their first round of cycling, which was 45 minutes, it was already a distance of 3 miles adding another 6 to Han's miles and another 9 to Claire's miles it would give you 18 and 12 and 18 minus 12 is 6.

Therefore, it was doubled from the distance only being 3 miles to 6 miles.

5 0
2 years ago
Which solution contains the correct number of significant digits for the product 2.80 mm · 0.1 mm.
BigorU [14]
2 significant digits should be represented in the product
8 0
3 years ago
Can someone please help me ASAP (Radical expressions)
natka813 [3]

Answer:

5 sqrt(6)

Step-by-step explanation:

sqrt(150)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(25) sqrt(6)

5 sqrt(6)

8 0
3 years ago
Read 2 more answers
In a survey of sixth-grade students, 70 students, or 40% of all the students surveyed, said that they liked mustard on hot dogs.
n200080 [17]

Answer: 210

<em>Step-by-step explanation: 70+70+70=210 and 40% for 210 students would add up to 120% of all students surveyed. Look if there is 70 students that's been surveyed that is 40% add 40% 3 times(40%+40%+40%)=120% of all students surveyed </em>

6 0
3 years ago
Read 2 more answers
Other questions:
  • Line AB has endpoints A(-4,5) and B(3,5). What is the x-coordinate of a point C such that B is the midpoint of line AC
    5·1 answer
  • What is the point of intersection of the x-axis and the y-axis called?
    7·2 answers
  • What is the volume of a box that will hold exactly 567 of these cubes with 1/3 inch sides?
    15·1 answer
  • PLEASE HELP!!!! I WILL GIVE BRAINLIEST AND 10 POINTS IF ITS GOOD!!
    8·1 answer
  • Choose the equation that represents the graph below.
    9·2 answers
  • Entomologists are biological scientists who study insects. Entomologists studying tree crickets have found that they chirp at di
    5·1 answer
  • The square of -4a is
    14·1 answer
  • In the Treasure, Treasure! video game, players gain and lose points by finding and losing treasure. In Level 2, Leslie earned
    12·2 answers
  • What property is -23 x 1 = -23
    9·1 answer
  • What is mKNL?<br> Enter your answer in the box.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!