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

Answer:

answer C. 3x + 9

Step-by-step explanation:

3(x + 5) - 6 =

3x + 15 - 6 =

3x + (15 - 6 ) =

3x + 9

3(x+5)-6

Multiply 3 by the inside parenthesis:

3x+15-6

Subtract

3x+9

This means our answer is C) 3x+9

I hope this helps! :)

Answer:

Cylinder and cube are three dimensional shape

Answer:

triangular prism

rectangular prism

Step-by-step explanation:

Answer:

We know that,

[tex](a^{x}) ^{y} =a^{xy}[/tex]

[tex]a^{x} *a^{y} =a^{x+y}[/tex]

[tex]\frac{a^{x} }{a^{y} } =a^{x-y}[/tex]

Let's solve now.

1) [tex](3^{8})^{4} =3^{32}[/tex]

2)  [tex]7f^{3} * 9f^{9} =63f^{12}[/tex]

3) [tex]12^{4} *12^{10} =12^{14}[/tex]

4) [tex](6m^{5} )^{3} =6m^{15}[/tex]

5)  [tex]\frac{2^{5} }{2^{-3} } =2^{8}[/tex]

6)  [tex]\frac{42g^{7} }{7g^{2} } =6g^{5}[/tex]

7)  [tex]\frac{3^{9}*3^{6} }{3^{5} } =\frac{3^{15} }{3^{5} } =3^{10}[/tex]

8)  [tex]\frac{11^{6}*11^6 }{11^2*11^3} =\frac{11^{12}}{11^5} =11^7[/tex]

9) [tex]7^{-2} =\frac{1}{7^2} =\frac{1}{49}[/tex]

10) [tex]3^{-3} =\frac{1}{3^3} =\frac{1}{27}[/tex]

Hope this helps you.

Let me know if you have any other  questions :-)

Answer: [tex]\geq[/tex] 9 lawns, assuming Fiona spends 1 hour per lawn.

Step-by-step explanation:

Let Y = the amount earned from mowing a lawn.  Let z be the number of hours worked on that lawn.

Y = $10 + $5(z)

We need to know the number of hours, z, for any particular lawn to be able to make this a valid equation.  Not having that, we really can't set up a valid equation.  

But let's assume z=1 for each and every lawn and see what we'd have.

Y = $10 + $5

Y = $15/lawn.

Fiona needs at least $135 for her Broadway ticket.

Let L be the number of lawns mowed.  We need:

L*($15/lawn) [tex]\geq[/tex] $135

L  [tex]\geq[/tex] 9 lawns

The spin of the wheel by the contestant is an illustration of a sine function whose equation is [tex]\mathbf{y =-1.25 sin(0.8x) + 0.25}[/tex]

The wheel is 1.5 m above the floor, and the peg reaches a maximum height of 2.75 m.

So, the amplitude is:

[tex]\mathbf{A = 1.5 - 2.75}[/tex]

[tex]\mathbf{A = -1.25}[/tex]

The vertical shift is the minimum height of the peg.

So, we have:

[tex]\mathbf{D = 0.25}[/tex]

The period (T) equals one circumference.

So, we have:

[tex]\mathbf{T = (max-min)\pi}[/tex]

This gives

[tex]\mathbf{T = (2.75-0.25)\pi}[/tex]

[tex]\mathbf{T = 2.5\pi}[/tex]

The frequency (B) is then calculated as:

[tex]\mathbf{B = \frac{2\pi}{T}}[/tex]

This gives

[tex]\mathbf{B = \frac{2\pi}{2.5\pi}}[/tex]

Divide

[tex]\mathbf{B = 0.8}[/tex]

A sine function is represented as:

[tex]\mathbf{y =A sin(B(x + C)) + D}[/tex]

Substitute the calculated values

[tex]\mathbf{y =-1.25 sin(0.8(x + C)) + 0.25}[/tex]

The horizontal shift (C) is 0.

So, the function becomes

[tex]\mathbf{y =-1.25 sin(0.8x) + 0.25}[/tex]

See attachment for the graph of the equation

Read more sine function at:

https://brainly.com/question/11904902

Answer: 6

Step-by-step explanation:

The typical way to solve this problem is with the Pythagorean Theorem, which states that a^2 + b^2 = c^2, where a and b are the legs of the right triangle, and c is the hypotenuse.  Unfortunately, due to a lack of a diagram, I am forced to infer.

Because the most famous Pythagorean triplet is 3, 4, 5, and 8 and 10 are multiples of the latter two terms, I can infer that the final side length is 6.

Hope it helps :) and if it is wrong, please let me know, and repost another question with the provided diagram.

the correct answer is B

hope I helped

Answer:

No solution

Step-by-step explanation:

1.Simplify

3(x+5)-3 = 2(3x+1) -3x

3x+15-3=6x+2-3x

2.Simplify

3x+12=3x+2

3. Combine like terms

3x-3x+12-2=3x-3x+-2

10 does not equal 0

No solution

Answer:

[tex]\boxed{\boxed{\sf No\:Solution}}[/tex]

Step-by-step explanation:

[tex]\sf 3\left(x+5\right)-3=2\left(3x+1\right)-3x[/tex]

Expand: Apply distributive property:

[tex]\sf 3(x+5)-3[/tex]

[tex]\sf 2(3x+1)[/tex]

[tex]\sf 3x+12=3x+2[/tex]

Subtract 12 from both sides:

[tex]\sf 3x+12-12=3x+2-12[/tex]

[tex]\sf 3x=3x-10[/tex]

Subtract 3x from both sides:

[tex]\sf 3x-3x=3x-10-3x[/tex]

[tex]\sf 0=-10[/tex]

Sides are not equal, so therefore there is no Solution.

___________________________________________

Answer:

Your answer is 150 units!

Answer:

9.96

Step-by-step explanation:

12 * .83

Answer:

10 hours

Step-by-step explanation:

83% of 12 hours = 0.83 * 12 hours = 10 hours

Answer:

304 divided by 8 in decimal = 38

304 divided by 8 in fraction = 304/8

304 divided by 8 in percentage = 3800%

Step-by-step explanation: You just simply divide.

Answer:

Step-by-step explanation:

Image result for what is the pattern you notice when dividing 10,100,1000

When dividing by ten, move the decimal point one place to the left. Place value is the value of a digit based on its location in the number. When dividing by 100, move the decimal place two places to the left. And, remember, if there's no decimal point, assume that the decimal falls at the end of the number.

Answer:

when you divide those numbers the place value shifts by 1.

Step-by-step explanation:

1000.0 to 100.00 to 10.000 to 1.0000 to .10000

Answer:

5x, -2x, and x

Step-by-step explanation:

Like terms share the same variable and powers. This means that the options with 'x' as an variable would be the like terms of 3x.

5x , -2x  , and x are like terms because they share the same variable, 'x'.

Hope this helps.

Answer:1/4

Step-by-step explanation:

15% off $30 has lowest sale price. Therefore, option C is the correct answer.

A sale price is the discounted price at which goods or services are being sold.

A) 20% off $35

20/100 ×35

= 0.2×35

=$7

Sale price =35-7=$28

B) 10% off $29

10/100 ×29

= 0.1×29

= 2.9

Sale price =29-2.9

= $26.1

C) 15% off $30

15/100 ×30

= 0.15×30

= 4.5

Sale price =30-4.5

= $25.5

D) 30% off $38

30/100 ×38

= 0.3×38

= $11.4

Sale price=38-11.4

= $26.6

Therefore, option C is the correct answer.

Learn more about the sale price here:

https://brainly.com/question/29199569.

#SPJ2

Answer:

54 degrees

Step-by-step explanation:

First, I need to find the value of t.

So, I create an equation. Angle BPK is a right angle, so I can just add the two inner angles and set it equal to 90.

(8t + 6) + (3t + 18) = 90

Now, just solve for t.

11t + 24 = 90

11t = 66

t = 6

Finally, substitute 6 in for t.

8(6) + 6

48 + 6

54

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choice is ~

Refer to attachment for solution ~

Answer:

(-6,6)

Step-by-step explanation:

Answer:

158 feet

Step-by-step explanation:

24 inches = 2 feet

79 x 2 = 158

Answer:

21

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

Twenty divided by four is five. You would divide fifteen by five to get three. so X=3.

Answer:

A. 5/6

Step-by-step explanation:

Since our denominators match, we can add the numerators.

3 + 7 = 10

So 10/12 the answer but simplified would give 5/6

Answer:

x=5

Step-by-step explanation:

i'm assuming the upper left expression is x-1 and that the 3 horizontal lines are parallel

the three horizontal lines seem to be parallel, so we have (x-1)/6 = 6/(x+4). cross multiply to get (x-1)(x+4) = 36, or x^2 +3x - 4 = 36. subtract 36 from both sides to get x^2 + 3x -40 = 0, factor or use the quadratic formula to get (x+8)(x-5)=0, so x=-8 or x=5, since we are looking for a length x can't equal -8, so x=5,

the answer is 1 because .25x4=1

Answer:

1 gallon

Step-by-step explanation:

4 / 4 = 1

(because 25% is 1/4 of 100%)

:)

Answer:

Step-by-step explanation:

You need an image for problem to be solved, please repost it with a image, so it can be solved

Answer:

0+_+0

Answer:

3.5 hours

Step-by-step explanation:

8.75/2.5=3.5

Answer:

3.5 miles

Step-by-step explanation: