A sum of Rs. 18750 is left by will by a father to be divided between two sons, 12 and 14 years of age. so that when they attain maturity at 18, the amount received by each of them at 5 percent simple interest will be the same. Find the sum allotted at present to each son?

A) Rs. 9500, Rs. 9250
B) Rs. 8000, Rs. 1750
C) Rs. 9000, Rs. 9750
D) R.s 10000, Rs. 9750

Answers

Answer 1

Answer:

C) Rs. 9000, Rs. 9750

Step-by-step explanation:

Let the sum allotted is x and 18750 - x.

Interest rate is 5%.

The interest amount is:

(18 - 12)*5% = 30% and(18 - 14)*5% = 20%

We have equation below to compare final amounts:

x + 30% = (18750 - x) + 20%1.3x = 1.2(18750 - x)1.3x = 22500 - 1.2x1.3x + 1.2x = 225002.5x = 22500x = 22500/2.5x = 9000

Correct choice is C


Related Questions

can somebody help like rn

Answers

Answer:

4

Step-by-step explanation:

(25-18+5)/4=4

(insert the variables)

Plz help me with this one

Answers

Answer:

5/6

Step-by-step explanation:

-5x-3=-9

Add 3 to both sides.

-5x=-6

Divide both sides by -5.

x=5/6

-5x - 3 = -9
+3 +3
———————-
-5x = -6
—— ——
-5 -5

x = 1.2

x = 6/5

please help easy points

Answers

Answer:

<=3 let me know if its correct or not if it's not I'm so srry in advance if it's right your welcome

HI!!! IKL GIVE U BRAINLIEST IF U CAN HELP ME!

Answers

Help with what there is no picture attached

Write the slope- intercept form of the equation

Answers

y=-3/4x+1

that’s the answer
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will give brainliest no files plz

Answers

Answer:

d

Step-by-step explanation:

Answer:

D. Step-by-step explanation:

how far does the object go
2 hours at 75km\h

Answers

Answer:

150 miles per hour

Step-by-step explanation:

Objective: finding the distance

Formula: speed × time =  distance

75 × 2 = 150

final answer: 150 mph

A butcher makes meatloaf by mixing hamburger which sells for a $1.89/lb and sausage which sells for $2.99/lb how many pounds of each should be used if he makes 30 lb of mix and sell it for $2.33/lb

Answers

Answer:

12 and 18

Step-by-step explanation:

If y varies inversely as (x-3). If y = 5 when x =7 find y when x=5

Answers

Given that y varies inversely as (x-3) .When y is 5 x is 7 . We need to find out the value of y when x is 5 .

According to the Question ,

[tex]\sf\longrightarrow y \propto \dfrac{1}{x-3}\\\\\sf\longrightarrow y =\dfrac{k}{x-3}[/tex]

where k is a constant .

And ,

[tex]\sf\longrightarrow 5 =\dfrac{k}{7}\\[/tex]

[tex]\sf\longrightarrow k = 7*5 \\ [/tex]

[tex]\bf\longrightarrow k = 35[/tex]

Now , when x is 5 ,

[tex]\sf\longrightarrow y = \dfrac{k}{x-3} \\ [/tex]

[tex]\sf\longrightarrow y =\dfrac{35}{5-3}\\ [/tex]

[tex]\sf\longrightarrow y=\dfrac{35}{2}\\ [/tex]

[tex]\sf\longrightarrow \boxed{\red{\sf y = 17.5 }} [/tex]

Write the following number in expanded form.

176,945,596​

Answers

Answer:

= 176,945,596

Step-by-step explanation:

100,000,000 + 70,000,000 + 6,000,000 + 900,000 + 40,000 + 5,000 + 500 + 90 + 6 = 176,945,596

= 176,945,596

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Consider the line y=-3x+3.
Find the equation of the line that is parallel to this line and passes through the point (-4, 5).
Find the equation of the line that is perpendicular to this line and passes through the point (-4, 5).

Equation of parallel line:
ロ=ロ
3
Equation of perpendicular line:

Answers

Answer:

[tex]y= 3x+17; y= -\frac13x +\frac{11}3[/tex]

Step-by-step explanation:

First problem. If you want a parallel to a given line, you keep the slope.

Then we use the point-slope form of a line

[tex]y-y_0=m(x-x_0)[/tex] and we plug in there everything we need.

[tex]y-5=3(x+4) \rightarrow y=3x+12+5\\y=3x+17[/tex]

The second is quite similar. This time we want the perpendicular. It means that the product of the slopes has to be -1.

[tex]3\cdot m = -1 \rightarrow m=-\frac13[/tex]

At this point we have everything, let's replace and write down the line in a better looking form

[tex]y-5=-\frac13(x+4) \rightarrow y= -\frac13 x -\frac43 +5\\y= -\frac13x -\frac43 +\frac{15}3 \rightarrow y= -\frac13x +\frac{11}3[/tex]

Find the value for x
15 points for you plus brainliest, 5 star and thanks on answer and profile

Answers

Answer:

117 units

Step-by-step explanation:

giving brainliest to someone earning it

Answers

Answer:

um... okie

Step-by-step explanation:

Arrange the following in ascending order b) 3.14, 31.4, 0.314, 3 2/4, 3.141
c) 2.0867, 0.28677, 28.067, 0.2867, 2.867

Answers

Step-by-step explanation:

b) 3.14, 31.4, 0.314, 3 2/4, 3.141

3.14, 31.4, 0.314, 3.5, 3.141

0.314, 3.14, 3.141, 3.5, 31.4

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does anyone know the answer to this? thank you!

Answers

Answer:

[tex] \alpha = \frac{arc \: length}{radius} \\ arc \: length = \alpha \times radius \\ = 50 \times \frac{\pi}{180} \times 7 \\ arc \: length = 350 \times \frac{\pi}{180} \\ = 1.94 \times \pi \\ = 6.1metre \\ thank \: you[/tex]

The length of the fence is 12 1/2 feet and the width of the fence is 10 3/4 determine the perimeter

Answers

Answer:

46 1/2 feet

Step-by-step explanation:

Perimeter is defined as 2 × length + 2 × width which is 12.5 × 2 + 10.75 × 2 which works out to 46 1/2 or 46.5 feet which is the answer.

The perimeter of rectangle with length of the fence is [tex]12\frac{1}{2}[/tex] feet and the width of the fence is [tex]10\frac{3}{4}[/tex] is 46.5 feet.

What is Area of Rectangle?

The area of Rectangle is length times of width.

Given,

The length of the fence is  [tex]12\frac{1}{2}[/tex] feet

[tex]12\frac{1}{2}[/tex] is changed to improper fraction 25/2

the width of the fence is [tex]10\frac{3}{4}[/tex]

[tex]10\frac{3}{4}[/tex]  is changed to improper fraction 43/4

Now we know that perimeter of rectangle =2(Length+width)

=2(25/2+43/4)

LCM of 2 and 4 is 4

=2(50+43)/4

=93/2

=46.5

Hence the perimeter of rectangle with length of the fence is [tex]12\frac{1}{2}[/tex] feet and the width of the fence is [tex]10\frac{3}{4}[/tex] is 46.5 feet.

To learn more on Rectangles click:

https://brainly.com/question/20693059

#SPJ5

Peter and Pam are both avid swimmers. Last week Pete swam twice as many hours s Pam. Together they swam a total of 18 hours. How many hours did each swim?

Answers

Answer:

Peter swam 12 hours, Pam swam 6

Step-by-step explanation:

Pam = x

Peter = y

y = 2x (this is because Peter swam twice as much)

y + x = 18 (this is because they both swam a total of 18 hours)

2x + x = 18 (substitute for y)

3x = 18

x = 6 (pam)

Now, I just need to substitute x = 6 into original equation.

y = 2(6)

y = 12 (peter)

Answer:

Peter- 12 hours

Pam- 6 hours

Step-by-step explanation:

You can set it up an an equation.

P = Peter

18= P + (P/2)

Solve.

36=2P+p

36=3P

P=12

Peter swam 12 hours.

Then 18-12= 6, Pam's number of hours.


Which of the following functions is graphed below?

Answers

Answer:

The answer is A. For some reason when it goes to the right, it’s a negative and vice versa. Then to go up is just +2

Step-by-step explanation:

Simplify the following expression.

-3m + (-2x) + 4m + 2x

Answers

Answer:

[tex]m[/tex]

Step-by-step explanation:

Combine like terms

[tex]-3m+(-2x)+4m+2x[/tex]

[tex](-3m+4m)+(-2x+2x)[/tex]

[tex](1m)+(0)[/tex]

[tex]m[/tex]

Answer:

m

Step-by-step explanation:

Simplify like-terms first:

-3m + (-2x) + 4m + 2x

m + (-2x) + 2x

Both x's cancel each other out, so you're left with:

m

Help maths please eeeee

Answers

Answer: row 4 is “14441’’

Step-by-step explanation: so first square is 4 second is 4 and third is 1

Answer:

1  4  6  4  1

Step-by-step explanation:

By summing the 2 numbers above them, as instructed , then

1 + 3 = 4 and 3 + 3 = 6

The row is then

1  4  6  4  1

how do u add and subtract rational numbers

Answers

Answer:

ration number such as 2 and 3

2 plus 3 is 5

3 minus 2 is 1

3 by 5 plus 2 by 5 is 5 by 5 which is 1

3 by 5 plus 2 by 4 take lcm and add the numerator .

The height of a triangle is 8 times it’s base. The area of the triangle is 784 square centimeters. Find the base and height of the triangle

Answers

Let the base be x cm,
Therefore height= 8x cm

Area of triangle = 8x(x) / 2 = 784 cm2
8x^2 = 1568
x = 14

Base = 14 cm
Height = 14x8 = 112 cm

Answer:

b = 14 cm , h = 112 cm

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Given height is 8 times base , then h = 8b and A = 784 , then

[tex]\frac{1}{2}[/tex] × b × 8b = 784

b × 4b = 784

4b² = 784 ( divide both sides by 4 )

b² = 196 ( take square root of both sides )

b = [tex]\sqrt{196}[/tex] = 14

Then base b = 14 cm and height h = 8 × 14 = 112 cm

(-1, 5) (3,y) m=5 whats the value of my and whats the slope <3

Answers

Answer:

slope: 5

y = 25

Step-by-step explanation:

slope is m, and m = 5, so slope is 5.

y-5=5(x+1)...........set up point slope form

y-5=5x+5............distribute 5

y=5x+10..............add 5 to both sides

y=5(3)+10............plug in 3

y=25.....................simplify

Step-by-step explanation:

I am not sure you posted the question correctly.

m is the slope already. this comes from the point slope form

y - y1 = m(x - x1)

where x1, y1 are the coordinates of a point on the line.

so, the slope is 5 (and cannot be <3).

so, using the first point we get

y - 5 = 5(x - -1) = 5(x + 1) = 5x + 5

therefore

y = 5x + 10

for (3, y) we put 3 in as x

y = 5×3 + 10 = 15 + 10 = 25

it is (3, 25) for m = 5.

Sam and Andre shared a number of pennies in the ratio 8:3. They received a total of 671 pennies. How many more pennies did Sam receive than Andre?

Answers

Answer:

Sam had 488

Andre had 183

488:183

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The ratio of boys to girls in a class is 3:5. There are 40 students in class.How many students are boys?

Answers

Answer:

1. 40/8 = 5

2. 3x5 : 5x5

3. 15:25

There are 15 boys to 25 girls in the class

Step-by-step explanation:

whT is the largest interger less then or equal to 30?

Answers

Answer:

30

Step-by-step explanation:

since it can be equal to 30 that means the answer is 30

Answer:

30

Step-by-step explanation:

if the interger can be equal to 30, it can be 30

Solve the equation for X:
4x2 + 15x = 4

Answers

Answer:

15x=-4

Step-by-step explanation:

Perform the indicated operation and express the result as a simplified complex number in the form a+bi. Do not put any spaces between your characters. If your answer includes a number that is not an integer type it as a decimal rounded to the nearest hundredth.
(3+4i)/(2-i)
simplifies to a+bi where:

A=

B=

Answers

9514 1404 393

Answer:

  0.40+2.20i

Step-by-step explanation:

To clear the denominator of its imaginary part, multiply numerator and denominator by the conjugate of the denominator.

  [tex]\dfrac{3+4i}{2-i}=\dfrac{(3+4i)(2+i)}{(2-i)(2+i)}=\dfrac{6-4+3i+8i}{4+1}=\dfrac{2+11i}{5}\\\\=\boxed{0.40+2.2i}[/tex]

_____

Additional comment

This "multiply by the conjugate" is also used to clear radicals from the denominator. It takes advantage of the factoring of the difference of squares:

  (a -b)(a +b) = a² -b²

Sue has 45 shells in her shell collection. Jared, who just started his collection, has
5 shells. Sue’s collection is how many times larger than Jared’s? I need the equation: and answer

Answers

Answer:

9

step by step:

sue = 45 shells

Jared= 5 shells

therefore 45÷5 =9

Answer:

9 times bigger

Step-by-step explanation:

45/5= 9 times bigger

why?

because "how many times bigger (or larger)"

Sue has 45 shells

and Jared has 5 shells

divide them and u get the answer

Blake buys a couch for $1000 and sells it for $1200. Calculate his profit as a percentage of the cost price.

Answers

Answer:

He earned 200 dollars

Step-by-step explanation:

He got a 20% profit.