what is the greatest common fact of 9 and 22

Answer:

Step-by-step explanation:

Lin after 1 year has 300+2*300/100=300+6=306  $

     after 2 years has 306+2*306/100=306+6.12=312.12$

150-15*150/100=150-22.5=127.5 $ the price for the bicycle

The value after 20 years is $ 723.514

Solution:

Formula for Amount compounded annually is as follows:  

Where,

"A" is the total amount

"p" is the principal sum

"r" is the rate of interest

"n" is the number of years

From given question,

p = $ 300

r = 4.5 %

n = 20 years

Substituting the values we get,

Thus value after 20 years is $ 723.514

PART 2)

2. Given data

Cost of bicycle = $150

Depreciation = 15%

Firstly let us calculate 15% of $150

(15/100)*150 =0.15*150

= $22.5

Since the value depreciated

We will minus the the depression from the initial amount

New amount = 150-22.5=

$127.5

Answer:

Option D is correct answer.

Step-by-step explanation:

Hey, there!

Before finding a,b,c, you remember the formula of quadratic equation,

[tex]a {x}^{2} + bx + c = 0[/tex]

Where, "a" represents thecoefficient of, x^2 "b" represents the coefficient of y and "c" is a numerical value.

So, the value of a,b,c in this equation "-2x^2+4x-3=0" is:

a= -2

b= 4

and c= -3.

Hope it helps...

Answer:

D

Step-by-step explanation:

EDGE 2021

Step-by-step explanation:

( 4+ 2 ) = ( 2 - ( 6-6) * 6 )

8 = 2

6

follow me and Mark as brainlist ❤️

Answer:

40°, 95°, 105°, and 160°

Step-by-step explanation:

Let the smallest angle be x.

Measures of the 3 angles can be expressed as:

[tex] x + 55 [/tex]

[tex] x + 65 [/tex]

[tex] x + 120 [/tex]

The sum of all angles in a quadrilateral = 360°.

Therefore, [tex] (x + 55) + (x + 65) + (x + 120) = 360 [/tex]

Solve for x

[tex] x + 55 + x + 65 + x + 120 = 360 [/tex]

[tex] 3x + 240 = 360 [/tex]

[tex] 3x + 240 - 240 = 360 - 240 [/tex]

[tex] 3x = 120 [/tex]

[tex] \frac{3x}{3} = \frac{120}{3} [/tex]

[tex] x = 40 [/tex]

The smallest angle = 40°

Plug in the value of x in the earlier stated expressions to find the measure of the other angles:

[tex] x + 55 = 40 + 55 = 95 [/tex]

[tex] x + 65 = 40 + 65 = 105 [/tex]

[tex] x + 120 = 40 + 120 = 160 [/tex]

Answer

the length is 20 cm and breadth is 16cm

Step-by-step explanation:

let, 2(a+b)= 72( as its the formulae of circumference)

here a is the length and b is the breadth

now total area is ab

according to the question

a(b-6)= ab-120

or -6a= - 120

so length is 20 cm

now by putting the value in the 1st eq we get

2(a+b)=72

or(a+b)=36

or 20+b=36

so breadth is 16 cm.

length is 20cm and breadth is 16 cm

(u can verify that easily)

thank u

Answer:

x=15

Step-by-step explanation:

5x= 75 (divide)

75/5= 15

Answer: There is only one step to solve this equation; we use inverse operations to isolate the x by dividing 5 on both sides. We divide because 5 is being multiplied by x, and the inverse operation for multiplication is division.

5x/5 = x

75/5 = 15

The equation now looks like:

x = 15

x is equal to 15. This is your answer.

Answer:

The time it takes to earn an amount A with a given principal P invested for a time period t is t = (A/P - 1)/r

Step-by-step explanation:

In order to calculate the time it would take to earn a certain amount of interest on a principal amount in an investment with simple interest, we use the simple interest formula as follows;

A = P·(1  + r·t)

A = The final amount after the number of periods of investment

P = The principal or initial amount

r = The interest rate per period

t = The number of the time periods

Therefore, the time it takes to earn a certain amount of interest on a principal amount in an investment with simple interest is fount by making t the subject  of the above equation, which is given as follows;

A/P = 1 + rt

rt = A/P - 1

t = (A/P - 1)/r

Therefore, the time it takes to earn an amount A with a given principal P invested for a time period t is given by t = (A/P - 1)/r.

Answer:

16 = 1 x 16, 2 x 8, or 4 x 4. Factors of 16: 1, 2, 4, 8, 16. Prime factorization: 16 = 2 x 2 x 2 x 2,

Step-by-step explanation:

which can also be written 16 = 2⁴. Since √16 = 4, a whole number, 16 is a perfect square

if this helped please give me brainliest

Answer:

It will be:

Step-by-step explanation:

16=:

a) 1 x 16

b) 2 x 8

c) 4 x 4

All these are the product of 16 prime factors.

Prime factors are any of the number that can be multiplied to give the original number.

Hope they help.

Answer:  Answer is the steps.

Step-by-step explanation:

The table of  with   the values  

 x           y  

0             3

1              1  

2              -1

3              -3  

It represents a linear function because as the y values decrease by 2  the x values increase by 1.

Answer:

The one that does not belong has a different number of dimensions.

Step-by-step explanation:

Given list consists of:

Three of them have one dimension but the plane has two dimensions,

therefore the plane in the list does not belong with the other three.

So correct answer choice is:

Answer:

Reciprocal, Exponential and Logarithmic.

Step-by-step explanation:

x intercept is the value of x where y value is 0.

y intercept is the value of y where x value is 0.

Let us have a look at the possibility for each parent function as given.

I. Linear

[tex]y =x[/tex]

When x = 0, y = 0 and

When y = 0, x = 0

Therefore, both x and y intercept exist.

II. Absolute value

[tex]y =|x|[/tex]

When x = 0, y = 0 and

When y = 0, x = 0

Therefore, both x and y intercept exist.

III. Quadratic

[tex]y =x^{2}[/tex]

When x = 0, y = 0 and

When y = 0, x = 0

Therefore, both x and y intercept exist.

IV. Cubic

[tex]y =x^3[/tex]

When x = 0, y = 0 and

When y = 0, x = 0

Therefore, both x and y intercept exist.

V. Square root

[tex]y =\sqrt x[/tex]

When x = 0, y = 0 and

When y = 0, x = 0

Therefore, both x and y intercept exist.

VI. Cube root

[tex]y =\sqrt[3]x[/tex]

When x = 0, y = 0 and

When y = 0, x = 0

Therefore, both x and y intercept exist.

VII. Reciprocal

[tex]y =\dfrac{1}x[/tex]

When [tex]x = 0, y \rightarrow \infty[/tex]

Therefore, both x and y intercept do not exist.

VIII. Exponential

[tex]y =b^x[/tex]

where b is any base:

When [tex]x = 0, y =1[/tex] therefore y intercept exists.

When we put y = 0, which is not possible

Therefore, both x and y intercept do not exist.

IX. Logarithmic

[tex]y =logx[/tex]

When [tex]x = 0, y \rightarrow[/tex] not defined

Therefore, both x and y intercept do not exist.

Answer:

Step-by-step explanation:

6 min/4 hole = 1.5 min per hole

9/1.5 = 6 holes

It can be concluded that 6 holes were made.

Hope this helped,

Kavitha

Answer:

6 holes

Step-by-step explanation:

Answer:

3+2=5

Step-by-step explanation:

Answer:

1,243,206x

Step-by-step explanation:

Combine like terms:

[tex]28x +25x +23x+23x+45x+1234890x+6389x+1783x\\\\=\boxed{1243206x}[/tex]

The expression can no longer be simplified.

Hi there! :)

Answer:

[tex]\huge\boxed{x = -1}[/tex]

Given:

AC = 22

BC = x + 14

AB + x + 10

AC is equivalent to AB + BC, therefore:

AC = AB + BC

Substitute in the expressions:

22 = (x + 10) + (x + 14)

Combine like terms:

22 = 2x + 24

Subtract 24 from both sides:

-2 = 2x

Divide both sides by 2:

x = -1

Given : AC = 22, BC = x + 14, and AB = x + 10.

[tex]\rule{130}1[/tex]

Solution :

[tex]:\implies\sf AB + BC = AC\:\:\:\:\Bigg\lgroup \bf{Segment\: addition\: postulate}\Bigg\rgroup \\\\\\:\implies\sf (x + 10) + (x + 14) = 22\:\:\:\:\Bigg\lgroup \bf{Substitution}\Bigg\rgroup\\\\\\:\implies\sf 2x + 24 = 22\:\:\:\:\Bigg\lgroup \bf{Simplify\:(added\:like\:term)}\Bigg\rgroup\\\\\\:\implies\sf 2x = -2\\\\\\:\implies\sf x = \dfrac{-2}{2}\\\\\\:\implies\underline{\boxed{\pink{\sf x = -1}}} [/tex]

Answer:

Step-by-step explanation:

3x + 2 = 7(3 - x)

3x + 2 = 21 - 7x

3x + 7x = 21 - 2

10x = 19

 x = 1.9

[tex]26-x-4 = 26 - 1.9 -4 = 20.1[/tex]

Your question has been heard loud and clear.

First one (x+2i)(x-2i) = x^2+4

Second one (x-2+2i)(x-2-2i) = x^2-4x+8

Third one (x+1+i)(x+1-i) = x^2+2x+2

Thank you

Edit: Sorry for taking 15 minutes I was calculating lol

Answer:

k = [tex]\frac{25}{12}[/tex]

Step-by-step explanation:

Using the rules of logarithms

log x - log y = log([tex]\frac{x}{y}[/tex] )

log a = log b ⇒ a = b

Given

logk - log(k - 2) = log25, then

log ([tex]\frac{k}{k-2}[/tex] ) = log25, thus

[tex]\frac{k}{k-2}[/tex] = 25 ( multiply both sides by (k - 2)

25(k - 2) = k

25k - 50 = k ( subtract k from both sides )

24k - 50 = 0 ( add 50 to both sides )

24k = 50 ( divide both sides by 24 )

k = [tex]\frac{50}{24}[/tex] = [tex]\frac{25}{12}[/tex]

===========================================

Explanation:

Multiply both sides by 2 to clear out the fraction

y = (1/2)x+4

2y = 2[ (1/2)x + 4 ]

2y = 2*(1/2)x + 2*4

2y = x + 8

Then move the x term over to the left side

2y = x+8

2y-x = 8

-x+2y = 8

Optionally we can multiply both sides by -1

-x+2y = 8

-1*(-x+2y) = -1*8

x-2y = -8

This is in standard form Ax+By = C with A = 1, B = -2, C = -8

The reason why I multiplied both sides by -1 was to make A > 0 which is what some textbooks use as convention. Of course -x+2y = 8 is equally valid too.

Answer:

The answer is "[tex]\bold{i=0.05311 \ \ and \ \ x= \$ 2934.4670}[/tex]"

Step-by-step explanation:

2-year interest is:

[tex]\to (x)i + x(1 + i)i=320.......(i)[/tex]

The price of the discount is :

[tex]\to x(\frac{i}{1+i})=148......(ii)[/tex]

by mixing (ii) in (i), we get:    

[tex]\to 148(1+i)+148(1+i)^2=320 \\\\\to (i+1)(i+2)= \frac{320}{148} \\\\\to i = 0.05311 \\[/tex]

[tex]\to[/tex] [tex]x= 148(\frac{i+1}{i}) \\\\[/tex]

[tex]= 148(0.054311)+ \frac{1}{(0.005311)}\\\\ =$2934.4670[/tex]

The Interest rate of annual impact:  

i=0.05311  

x=$ 2934.4670

Answer: Approximately  7 hours

Step-by-step explanation:

Divide the total number of miles by the miles traveled per hour to find out how long it will take you to go from New York to Paris.

3636 / 520 = 6.99  

which is approximately 7 hours

Answer:

70√2  units²

Step-by-step explanation:

(see attached for reference notes on parallelograms)

we are given ABCD is a parallelogram where

Short Length, AB = 10 units

Long Length, BC = 14 units

Angle A = 45°

The area of the parallelogram is hence,  

= AB x BC sin 45°

= 10 x 14 x sin 45

= 140 sin 45°    (recall from special angles, that sin 45° = 1/√2)

= 140/√2   (remove radical from denominator by multiplying by √2/√2)

= (140/√2) x (√2/√2)

=70√2  units²

Answer:

[tex]\frac{53}{6}[/tex]

Step-by-step explanation:

[tex]\int\limits^4_3 {x^2-x} \, dx[/tex]

= [ [tex]\frac{x^3}{3}[/tex] - [tex]\frac{x^2}{2}[/tex] ] ← evaluate for upper limit - lower limit

= ( [tex]\frac{64}{3}[/tex] - [tex]\frac{16}{2}[/tex] ) - ( [tex]\frac{27}{3}[/tex] - [tex]\frac{9}{2}[/tex] )

= [tex]\frac{64}{3}[/tex] - 8 - 9 + [tex]\frac{9}{2}[/tex]

= [tex]\frac{155}{6}[/tex] - 17

= [tex]\frac{53}{6}[/tex]

Answer/Step-by-step explanation:

1.a)(iv). [tex] \frac{1}{6} + (-\frac{7}{8} [/tex]

Positive multiplied by negative = negative

[tex] \frac{1}{6} - \frac{7}{8} [/tex]

[tex]\frac{4 - 21}{24} = \frac{-17}{24} = -\frac{17}{24}[/tex]

2a.) 73.48 +(-37.3)

[tex] Note: + * - = - [/tex]

73.48 - 37.3 = 36.18

3c.) [tex] 3\frac{3}{4} [/tex] ÷ [tex] (-4\frac{2}{7}) [/tex]

Convert to proper fraction

[tex] \frac{15}{4} [/tex] ÷ [tex] (-\frac{30}{7}) [/tex]

Change ÷ to × and flip the fraction on your right upside down

[tex] \frac{15}{4} * (-\frac{7}{30}) [/tex]

[tex] -\frac{15*7}{4*30} [/tex]

[tex] -\frac{1*7}{4*2} = -\frac{7}{8} [/tex]

3d.) -52.25 ÷ (-5.5) = [tex] \frac{-52.25}{-5.5} [/tex]

(Note: - ÷ - = + )

[tex] \frac{-52.25}{-5.5} = 9.5 [/tex]

Answer: $17.78; 26.67; 35.56

Step-by-step explanation:

Given the following information.:

Price of cab = $2 per mile , irrespective of the number of passengers.

Alice's destination = 20 miles

Ben's destination = 30 miles

Calvin's destination = 40 miles

If the three share a cab, the cab fee will be (cost per mile * number of miles of the farthest destination).

($2 * 40) = $80

Let price = a, for 20 miles

Ben's mile = 30 miles = 1.5 times Alice's miles, then Ben's pay = (1.5a)

Calvin's mile = 40 miles = 2 times Alice's miles, then Calvin's pay = (2a)

Thus,

a + 1.5a + 2a = $80

4.5a = $80

a = $80 / 4. 5

a = $17.78

Ben's pay = 1.5a = $26.67

Calvin's pay = 2a = $35.56

Answer:

x=11

Step-by-step explanation:

The fact of x=11 makes the equation true as for if it didnt work correctly it wouldnt be true.

Answer:

113

Step-by-step explanation:

127 - 2(3+4)

127 - 2(7)

127-14

113

Answer:

12

Step-by-step explanation:

use the distance formula

(1-1)^2 + (6- (-6))^2

0+12^2

take the sqrt of 144

12

Answer:

12

Step-by-step explanation:

→To solve this, you need to use the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

→Plug in the numbers accordingly:

[tex]d=\sqrt{(1-1)^2+(6+6)^2}[/tex]

[tex]d=\sqrt{(0)^2 + (12)^2}[/tex]

[tex]d=\sqrt{144}[/tex]

→Take the square root of 144:

[tex]d=12[/tex]

Answer:

Step-by-step explanation:

1 + ( -5)     Adding a negative = subtracting:

= 1 - 5

= -4.

Think of these numbers as 'directed' numbers - the numbers depend on the direction.

If we have a thermometer and the temperature reads 1 degree and the temperature drops, the mercury travels down ( negative direction) by 5 units. . It goes down 1 degree to reach 0 then another 4 degrees to reach -4,

1 - 5 = -4.