A man has Rs 1900. he lent some of it at 5% p.a and rest at9% p.a. The total amount of interest which he got after4 years was Rs 580.Wwhat was the sum
ans= Rs650,Rs 1250​

Answers

Answer 1

Answer:

The sum is Rs 1,250 and Rs 650

Step-by-step explanation:

Let the amounts be represented as $x and $y

The sum of both is 1900

Thus;

x + y = 1,900 •••••(i)

Mathematically, the interest on the amount borrowed is;

I = PRT/100

where p is the principal, representing the amount borrowed

R is the rate

T is the time

for the first amount of $x ; we have interest as;

I = (x * 5 * 4)/100 = 20x/100

for the second, we have

I = (y * 9 * 4)/100 = 36y/100

The sum of both is 580

Thus;

20x/100 + 36y/100 = 580

20x + 36y = 58000 •••••(ii)

From equation i;

x = 1,900 - y

Substitute this into equation ii

We have this as;

20(1900-y) + 36y = 58,000

38000 - 20y + 36y = 58,000

16y = 58000 - 38000

16y = 20,000

y = 20,000/16

y = 1250

From equation 1;

x + y = 1900

x = 1900-y

x = 1900-1250

y = 650


Related Questions

find the length of side x using the Law of Cosines.

Answers

Answer:

The length of side x is 22.91

Step-by-step explanation:

As per law of cosine

[tex]X = \sqrt{a^2 + b^2- 2*a*bcos\gamma}[/tex]

Where

[tex]gamma = 56[/tex] degrees

a = 20

b = 27

Substituting the given values in above equation, we get -  

[tex]X = \sqrt{20^2 + 27^2 - 2*20*27*cos 56} \\X = 22.91[/tex]

Hence, the length of side x is 22.91

What’s the domain of this graph?

Answers

Answer: ( ∞ , -∞ )

Step-by-step explanation:

mb- The graph shows the relationship between time and the number of soda bottles a machine can make. Use the points (2,100) and (4,200) to find the number of soda bottles the machine can make each minute ​

Answers

Answer:

1200

Step-by-step explanation:

We can gather from what's given that y=20xy represents the total number of bottles produced in the given time in seconds, which is x. When x=1, y=20, This means that each second the machine can make 20 soda bottles. Each minute is 60 seconds, so when x=60, y=20*60 =1200 soda bottles.

Each of the figures are similar. Find the missing length

Answers

Answer:

63

Step-by-step explanation:

the first one is 9x bigger then the second one

so 7x9 is 63

ASAP someone please use the Pythagorean Theorem to solve for the missing side of these two right triangles.

Answers

Answer:

9) x = 5

10) x = 4

Step-by-step explanation:

a^2 + b^2 = c^2

9) 6^2 + x^2 = 8^2

  - 36 + x^2 = 64

  -  36            - 36

_______________

           x^2 = 28

Square root them

Squareroot x^2 is x

Square root 28 is 5.29 round is 5

so x = 5

*Correct me if im wrong*

10) 3^2 + x^2 = 5^2

     9 + x^2 = 25

  -  9              - 9

____________________

             x^2= 16

Square root them

square root of x ^2 is x and square root of 16 is 4

so x = 4

Are the ratios 18:9 and 2:1 equivalent?

Answers

Answer:

Yes

Step-by-step explanation:

[tex]\frac{18}{9} =\frac{2}{1}[/tex]

The two ratios are,

→ 18 : 9 and 2 : 1

We have to find,

→ whether the ratios are equivalent?

Now simplify the first ratio,

→ 18(÷9) : 9(÷9) = 2 : 1

→ 2 : 1 = 2 : 1

Yeah, the two ratios are equivalent.

mary says 1/8 is greater than 1/4 because 8 is greater than 4. is mary's reasoning correct

Answers

Answer:

Mary's reasoning is incorrect.

Step-by-step explanation:

1/8 < 1/4

The probability of a high school basketball team winning any game is 58%. This team is in a six-game tournament, and the games are played independently of one another. Let X represent the number of games the team might win in this tournament. What are the mean and standard deviation of X?

Mu Subscript x Baseline = 2.52, Sigma Subscript x Baseline = 2.15
Mu Subscript x Baseline = 3.48, Sigma Subscript x Baseline = 1.21
Mu Subscript x Baseline = 3.48, Sigma Subscript x Baseline = 1.46
Mu Subscript x Baseline = 5, Sigma Subscript x Baseline = 1.46

Answers

Answer:

C)

Step-by-step explanation:

I’m not sure

B.) μx =  3.48    σx = 1.21

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Answers

Answer:

B

Step-by-step explanation:

Which equation has a greater rate of change than the linear function in the table?
х
-5
-3
у
-18
-8
1
12
3
22
A
y = 5х – 3
B
y = -4x – 18
С
y = -3.2 + 2
D
y = 6x + 13

Answers

I think the answer is A

What time is shown on this clock?

six forty-three

seven forty-three

eight thirty-two

nine thirty-two

Answers

Answer:

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Step-by-step explanation:

A car company makes 5 different types of compact cars , 4 different types of mid-sized cars and 3 different types of large cars. If a rental company would like to buy one compact car, one mid-sized car and one large, how many different ways can a set of cars be bought?

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Answer:

a set of cars can be bought in one way

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Answers

Answer:

y = -5x + 4/3

Step-by-step explanation:

m is the slope and b is the y intercept. m= -5 so -5 is the slope and b= 4/3 so 4/3 is the y intercept.

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

......Answer: V = 1046.6

I write this question for no reason

Answer has to be at least 20 words long to get brainliest

Answers

Answer:

hi i need points and i dont know what to write i hope you have a great day or night :)

Step-by-step explanation:

yeoo, how are you? I hope you're doing well and having a great day g. Anyways I only need one more brainliest to pass this rank, so it would be real helpful but it's okay if not. I hope you are taking care of yourself, have a nice day/night !

37).
I have read 313 pages of my 1298 pages book. How many pages
must I read until I reach the middle?

Answers

Answer:

336

Step-by-step explanation:

Answer:

you should read 336 pages for you to reach the middle.

Step-by-step explanation:

1298/2--649

649-313--336

-4(w+1) = -24−4(w+1)=−24minus, 4, left parenthesis, w, plus, 1, right parenthesis, equals, minus, 24 w =w=w, equals

Answers

Answer:

W=5

Step-by-step explanation:

-4(w+1}=-24

-4w-4=-24

-4w=-20

w=5

Answer:

its 5

Step-by-step explanation:

i got i correct ;)

(05.03 LC)
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Answers

1 is the initial value because it started at 1 in the beginning, and it transfered up to 6,7.

Answer:

1

Step-by-step explanation:

The initial value is the y intercept or where the line crosses the y axis.

Two number cubes with sides numbered 1-6 are rolled. What is the probability that the sum of the numbers on the cubes is 12?

Answers

Answer:

1/36

Step-by-step explanation:

Attached is a chart showing the 36 possible outcomes for rolling 2 number cubes.  The sum of the two cubes is 12 in only one of the outcomes (both sixes).  The probability is 1/36.

**NOTE YOU WOULD GET 34 POINTS IF YOU ANSWER THIS**

Answers

Answer:

The answer is 25

Step-by-step explanation:

Answer: 25 Is the correct answer.

ILL MARK BRAINLIEST TO FIRST PERSON THAT ANSWERS CORRECTLY.

Explain the steps of solving the system of equations y = -x+4 and y = 3x by substitution.​

Answers

Answer:

X=1, y=3

Step-by-step explanation:

-x+ 4=3x

4=4x

1=x

insert value of x into either equation to solve for y.

Y=3x

y=3(1)

y=3

Which equation is true?
A.
43 + 24 = 38 + 30
B.
43 + 24 = 38 + 19
C.
43 + 24 = 38 + 24
D.
43 + 24 = 38 + 29

Answers

D. 43 + 24 = 38 + 29.

Answer:

43 + 24 = 67

38 + 29 = 67

This means that there equal making

D. 43 + 24 = 38 + 29

The correct answer.

Your friend thinks that the regular pentagon in the diagram has 10 lines of symmetry. Explain and correct your friend's error.

Answers

Answer:

A pentagon has 5 lines of symmetry, not 10.

Step-by-step explanation:

There are only 5 lines connecting to form a pentagon and all five lines are the same length.

A pentagon has 5 lines not 10

PLEASE HELP!! NO LINKS- I WILL MARK BRAINLIEST!!
#3) Using this picture, find the measure of J.
A. 28 square root 3
B. 14
C. 28
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#4) Using the same picture, find the measure of side K.

A. 28 square root 3
B. 14
C. 28
D. 56

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Answers

Answer:

J: 28 square root 3

K: 56

Step-by-step explanation:

not sure about J but def sure abt K

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Answers

y2-y1/x2-x1 ,so the slope is -4

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Answers

I’ve attached my work...
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Answers

Answer:

y = 2(x + 3)² - 4

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Using the method of completing the square

y = 2x² + 12x + 14 ← factor out 2 from the first 2 terms

  = 2(x² + 6x) + 14

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² + 6x

y = 2(x² + 2(3)x + 9 - 9 ) + 14

  = 2(x + 3)² - 18 + 14

  = 2(x + 3)² - 4 ← in vertex form

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Answers

Answer: -1

Step-by-step explanation:

x is the slope and the value of x is negative one.

Watch help video
Which of the following equations represents a line that passes through the points
(2,0) and (1, -4)?
I. 4.x - y = 9
II. y +4 = 4(x + 0)
Neither
I only
II only
I and II

Answers

Answer:

I think neither

Step-by-step explanation:

One of the legs of a right triangle measures 14 cm and the other
leg measures 9 cm. Find the measure of the hypotenuse. If
necessary, round to the nearest tenth.

Answers

Answer:

16.6

Step-by-step explanation:

[tex]14^{2}+9^{2}= 277\\[/tex]

[tex]\sqrt{277}[/tex]=16.6(rounded)

i think its like 126

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