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
cestrela7 [59]
2 years ago
7

A person borrows $50000 loan from bank at a rate of 10% for 5 years compounded yearly.

Mathematics
1 answer:
Hatshy [7]2 years ago
7 0
<h3>Given:</h3>
  • P= $50,000
  • R= 10%
  • T= 5 years
<h3>Note that:</h3>
  • P= Principal amount
  • R= Rate of interest
  • T= Time period
<h3>Solution:</h3>

\large\boxed{Formula: A= P(1+ \frac{R}{100}{)}^{T}}

Let's substitute according to the formula.

A= 50000(1+ \frac{10}{100}{)}^{5}

<em>A=</em><em> </em><em>$80525.5</em>

Now, we can find the interest paid

\large\boxed{I= A-P}

We'll have to deduct the total amount from the principal amount.

Let's substitute according to the formula.

I= 80525.5-50000

<em>I=</em><em> </em><em>$30525.5</em>

<u>Hence</u><u>,</u><u> </u><u>the</u><u> </u><u>total</u><u> </u><u>amount</u><u> </u><u>paid</u><u> </u><u>after</u><u> </u><u>5</u><u> </u><u>years</u><u> </u><u>is</u><u> </u><u>$</u><u>80525.5</u><u> </u><u>and</u><u> </u><u>$</u><u>30525.5</u><u> </u><u>was</u><u> </u><u>paid</u><u> </u><u>as</u><u> </u><u>interest</u><u>.</u>

You might be interested in
....................
nadezda [96]

Answer:

.

Step-by-step explanation:

4 0
1 year ago
Read 2 more answers
How many 1/2 cup servings are in a box of oatmeal that contains 6 3/4
anzhelika [568]

6 and 3/4 divided by 1/2

27/4 divided by 1/2

27/4 * 2/1 = 27/2 = 13 and 1/2

7 0
3 years ago
Calvin is mixing colored gravel for the bottom of his fish tank. He mixes 12 pounds of blue gravel with 3 pounds of purple grave
Flura [38]

Answer:

B.4

Step-by-step explanation:

I did 12 divided by 3 = 4

8 0
3 years ago
2/21 times 7/8 in simplest form
Angelina_Jolie [31]

2/21 * 7/8

14/168

divide top and bottom by 14

1/12

8 0
3 years ago
How many integers in the set {n ∈ Z | 1 ≤ n ≤ 700} are divisible by 2 or 7?
sukhopar [10]
\large\begin{array}{l}\\\\ \textsf{This question gives us a set}\\\\ \mathsf{S=\{n \in\mathbb{Z}:~1\le n\le 700\}}\\\\ \mathsf{S=\{1,\,2,\,3,\,\ldots,\,699,\,700\}}\\\\\\ \bullet~~\textsf{Set of integers that are divible by 2 (even integers):}\\\\ \mathsf{A=\{n\in \mathbb{Z}:~n=2k,\,k\in\mathbb{Z}\}}\\\\ \mathsf{A=\{\ldots,\,-4,\,-2,\,0,\,2,\,4,\,\ldots\}}\\\\\\ \bullet~~\textsf{Set of integers that are divible by 7:}\\\\ \mathsf{B=\{n\in \mathbb{Z}:~n=7k,\,k\in\mathbb{Z}\}}\\\\ \mathsf{A=\{\ldots,\,-14,\,-7,\,0,\,7,\,14,\,\ldots\}} \end{array}

___________


\large\begin{array}{l}\\\\ \textsf{We want to know how many elements there are in the}\\\textsf{following set:}\\\\ \mathsf{S\cap (A\cup B)=(S\cap A)\cup(S\cap B)\qquad(i)} \end{array}

____________

\large\begin{array}{l}\\\\ \bullet~~\mathsf{S\cap A=\{n\in\mathbb{N}:~n=2k~~and~~1\le n\le 700,\,k\in\mathbb{Z}\}}\\\\ \mathsf{S\cap A=\{2,\,4,\,6,\,\ldots,\,698,\,700\}}\\\\ \mathsf{S\cap A=\{1\cdot 2,\,2\cdot 2,\,3\cdot 2,\,\ldots,\,349\cdot 2,\,350\cdot 2\}}\\\\\\ \textsf{So, there are 350 elements in }\mathsf{S\cap A:}\\\\ \mathsf{\#(S\cap A)=350.} \\\\\\ \bullet~~\mathsf{S\cap B=\{n\in\mathbb{N}:~n=7k~~and~~1\le n\le 700,\,k\in\mathbb{Z}\}}\\\\ \mathsf{S\cap B=\{7,\,14,\,21,\,\ldots,\,693,\,700\}}\\\\ \mathsf{S\cap B=\{1\cdot 7,\,2\cdot 7,\,3\cdot 7,\,\ldots,\,99\cdot 7,\,100\cdot 7\}} \\\\\\ \textsf{So, there are 100 elements in }\mathsf{S\cap B:}\\\\ \mathsf{\#(S\cap B)=100.} \end{array}

____________


\large\begin{array}{l}\\\\ \textsf{Therefore,}\\\\ \mathsf{\#\big[S\cap (A\cup B)\big]}\\\\ =\mathsf{\#\big[(S\cap A)\cup(S\cap B)\big]}\\\\ =\mathsf{\#(S\cap A)+\#(S\cap B)-\#\big[(S\cap A)\cap(S\cap B)\big]}\\\\ =\mathsf{350+100-50}\\\\ =\mathsf{450-50}\\\\ =\mathsf{400~elements.}\\\\\\ \textsf{There are 400 integers in S that are divisible by 2 or 7.} \end{array}


If you're having problems understanding the answer, try to see it through your browser: brainly.com/question/2105863


\large\begin{array}{l}\\\\ \textsf{Any doubts? Please, comment below.}\\\\\\ \textsf{Best wishes! :-)} \end{array}


Tags: <em>set theory divibilility divisible integers union intersection</em>

3 0
3 years ago
Other questions:
  • Help me! :)
    13·2 answers
  • Tyler and Katie started a lemonade stand to raise money. They donated 2/10 of their profits to their school library,1/10 to the
    8·2 answers
  • -4(-11+4n) -3( -2n+9)
    12·2 answers
  • Four more than a number is no more than thirteen
    8·2 answers
  • What is fifty five plus seventy two divided by three
    15·2 answers
  • 9. DOG WALKING Evan, a dog walker, charges $3 every block that he walks a dog. He also charges a $5 pick up fee when he comes to
    9·1 answer
  • The table below shows data from a survey about the amount of time high school student spent reading in amount of time spent watc
    8·2 answers
  • Which of these amounts would NOT be a "y" coordinate for The Jeans Source?
    8·2 answers
  • 1)The sum of two numbers is 43, and their differences is 7. Find the smaller number.
    8·1 answer
  • Which angle has a measure equal to the sum of m∠SQR and m∠QRS?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!