in what time is sum of money triples itself at 5%p.a​

Answer:

k = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Equality Properties

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

5k - 2 = 2k + 4

Step 2: Solve for k

Answer:

k=2

Step-by-step explanation:

5k-2=2k+4

add 2 to both sides

5k=2k+6

subtract 2k to both sides

3k=6

divide both 3k and 6 by 3 to get k by itself

k=2

Step-by-step explanation:

12.5÷100 × 5

=0.125×5

=0.625

Answer:

34

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Substitute the coordinates of the points into the left side of the equation and if equal to the right side then the point lies on the line.

(4, 2 ) → 15(4) + 60(2) = 60 + 120 = 180 ← point on line

(12, 1 ) → 15(12) + 60(1) = 180 + 60 = 240 ← point not on line

(0, 3 ) → 15(0) + 60(3) = 0 + 180 = 180 ← point on line

(8, 1 ) → 15(8) + 60(1) = 120 + 60 = 180 ← point on line

The point (12, 1 ) is not on the line → c

Answer:

Step-by-step explanation:

Area = x² - 80x + 1500

        = x²  -30x - 50x + 1500

       = x(x - 30) - 50(x - 30)

        = (x -30) (x - 50)

Length =(x -50) ft

Answer:

Initial velocity = 25 m/s

Final velocity = 0 m/s

Step-by-step explanation:

    Initial velocity is the speed in the beginning and final velocity is the speed in the end.

    The problem says the car was traveling at 25 m/s, so that is the initial velocity. The end of the problem states the car came to a complete stop after 3 seconds. Therefore, the final velocity is 0 m/s.

Answer:

$40,516.86

Step-by-step explanation:

start by taking 35,000 and multiplying it by 0.05 to get 5% of the number. then add that number (1,750) to the original 35,000 and you should get 36,750. this would be the first year. Then multiply 36,750 by 0.05 again and add that number (1837.5) to the original 36,750 and you should get 38,587.5. Finally multiply that by 0.05 and add that number (1,929.375) to the original 38,587.5 and you should get 40516.875. Round to the hundredths since it is money.

Answer:

A = $40,516.88

Step-by-step explanation:

Assuming that interest is compounded annually:

The AMOUNT will be A = P(1 + r)^2, which here is

                                    A = $35,000(1 + 0.05)^3, or

                                     A = $40,516.88

Answer:

the probability will be 18.18%

The length of the [tex]\overline{QT}[/tex] can be determined using the given information and

the relationship between corresponding sides of similar triangles.

Reasons:

The given parameters are;

[tex]\overline{ST} \parallel \overline{PQ}[/tex]

ST = QT + 5

RT = 10

PQ = 15

Required: The length of [tex]\overline{QT}[/tex]

Solution:

Using the relationship between corresponding sides of similar triangles, ΔRST and ΔRPQ, we have;

RQ = QT + RT

Therefore;

Which gives;

[tex]\displaystyle \frac{\overline{QT} + 5}{\overline{RT}} = \frac{\overline{PQ}}{\overline{QT} + \overline{RT}}[/tex]

Plugging in the known values gives;

[tex]\displaystyle \frac{\overline{QT} + 5}{10} = \mathbf{\frac{15}{\overline{QT} + 10}}[/tex]

[tex](\overline{QT} + 5) \times (\overline{QT} + 10) = 10 \times 15[/tex]

[tex]\overline{QT}^2 + 10\cdot \overline{QT} + 5\cdot \overline{QT} + 50 = 10 \times 15[/tex]

[tex]\overline{QT}^2 + 15\cdot \overline{QT} + 50 - 150= 0[/tex]

[tex]\mathbf{\overline{QT}^2 + 15\cdot \overline{QT} -100} = 0[/tex]

Factorizing with a graphing calculator gives;

[tex](\overline{QT} -5) \cdot (\overline{QT} + 20)= 0[/tex]

[tex]\mathbf{\overline{QT} = 5} \ or \ \overline{QT} = -20[/tex]

Therefore, given that [tex]\overline{QT}[/tex] is a natural number, we have;

[tex]\underline{\overline{QT} = 5}[/tex]

Learn more about similar triangles here:

https://brainly.com/question/4268470

[tex]\\ \sf\longmapsto XY=\sqrt{x^2+y^2}[/tex]

[tex]\\ \sf\longmapsto XY=\sqrt{a^2+2^2}[/tex]

[tex]\\ \sf\longmapsto XY=\sqrt{a^2+4}[/tex]

[tex]\\ \sf\longmapsto XY=2+a[/tex]

Answer:

Step-by-step explanation:

If you like my answer than please mark me brainliest

Answer:

The numbers are : 60 , 62

Step-by-step explanation:

Let the two consecutive even numbers be 2x , 2x + 2

2x + 2x + 2 = 122

Combine like terms

4x + 2 = 122

Subtract 2 from both sides

4x = 122 - 2

4x = 120

x = 120/4

x = 30

2x = 2*30 = 60

2x + 2 = 2*30 + 2 = 60 + 2 = 62

Answer:

A and D

Step-by-step explanation:

Rational numbers that can be written as a fraction of two integers (without a denominator of 0).

The other three cannot be written as a fraction or two integers.

Answer:

Would you mind including the ratios in the comments?

You didn't post any material to solve.

Answer:

B

Step-by-step explanation:

It's a right triangle, so the pythagorean theorem will be used a lot.

First, find the side length on the left.

25^2 = 7^2 + y

y = 24

Now, knowing that 7 - 3 = 4 (the smaller side length), I can use this theorem again to find x.

4^2 + 24^2 = x^2

x = [tex]\sqrt{592}[/tex]

Just need to simplify it a little farther...

592 / 16 = 37, so B must be the answer.

what is this how so i do this

Answer:

hey, can you tell the question again? I've a prob in x, is it a variable or multiplication sign? just lmk this, I think I'm able to do it

Answer:

x=-5;-3;2

Step-by-step explanation:

all the details are in the attached picture (the answers are marked with red colour).

1) to determine the possible roots;

2) to check the possible roots, then to stop when the first one is found (it is 2);

3) to perform division of polynoms, then to re-write the given equation in comfortable form;

4) to calculate other roots.

Note, the suggested solution is not the shortest way and not the only one.

P.S. make the design according local requirements.

Answer:

Answer:

no 146.5 > 145

Step-by-step explanation:

Answer:

1390

Step-by-step explanation:

1400- 500= 900 (loaned → deduction→ meaning subtraction)

900- 310 = 590 (spent→ deduction→ meaning subtraction)

590 + 800 = 1390 (received→ gained→ addition)

Answer:

2/3

Step-by-step explanation:

rise over run is 2 over 3, and it is positive because the y increases as the x increases!

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

[tex]-3x--3+8x-24=6x+7-5x[/tex]

Two negative signs equate to a positive sign, so we can write [tex]--3[/tex] as just [tex]3[/tex]:

[tex]-3x+3+8x-24=6x+7-5x[/tex]

Add up similar terms:

[tex]5x-21=x+7[/tex]

Add 21 to both sides:

[tex]5x-21+21=x+7+21[/tex]

[tex]5x=x+28[/tex]

Subtract x from both sides:

[tex]5x-x=x+28-x[/tex]

[tex]4x=28[/tex]

Divide both sides by 4:

[tex]\frac{4x}{x} =\frac{28}{4}[/tex]

[tex]x=7[/tex]

Answer:

Step-by-step explanation:

(9-10)/(-6 - - 9) = -1/3

Answer:

b; |-4|<|-5|

Step-by-step explanation:

Absolute value is the distance from zero, so the absolute value of -5 is greater than the the absolute value of -4.

Answer:

Rate of change is 15/2

Step-by-step explanation:

Rate of change is the same as slope of a line.

( y1 - y2 ) / ( x1 - x2 )

( 30 - 15 ) / ( 4 - 2 )

15 / 2

Hopefully this helps!

Brainliest please?

Answer:

Step-by-step explanation:

Numbers: HCF of 18 and 30

18: 2 * 3 * 3

30:2 * 3 * 5

HCF: 2 and 3 = 6

a: a * a and a.

HCF = a

b: b

c: c and c*c

HCF: C

Answer: 6*a*b*c(3a + 5*c)

Note: for this question one of the factors is the HCF and the other is what remains when the HCF is taken out.

They would both have the same number of books after 6 months.

The number of books they would have is 33.

This expression can be used to determine the number of books Suzanne would have after x months: 15 + 3x

This expression can be used to determine the number of books Jack would have after x months: 57 - 4x

In order to determine the month in which both people would have the same number of books, equate both expressions.

15 + 3x = 57 - 4x

Combine similar terms

3x + 4x = 57 - 15

7x = 42

Divide both sides b y 7

x = 6

Number of books they would have : 15 + 3(6) = 15 + 18 = 33

A similar question was answered here: https://brainly.com/question/21014980?referrer=searchResults

Answer:

1 : 200

Step-by-step explanation:

To get an answer in ratio form, we must convert meters into millimeters or we can convert millimeters to meters. Then we can get our answer.

Step 1: Convert.

=> 5 millimeters : 1 meter

=> 5 millimeters : 1000 millimeters

Step 2: Simplify.

=> 5 millimeters : 1000 millimeters

=> 1 millimeter : 200 millimeters

Key Note: Answer in ratio form is always unitless.

=> 1 : 200

So therefore, 1 : 200 is our ratio. Hoped this helped.