©
Make x the subject of the formula
y = mx – C

Answer:

26, 28

Step-by-step explanation:

2n , 2n + 2

2n + 2n + 2 = 54

4n + 2 = 54

4n = 52

n = 13

2n = 26

2n + 2 = 28

Answer:

Step-by-step explanation:

The sum of two consecutive even numbers is 54 find the answer

(54 - 2) : 2 = 26

26 + 2 = 28

----------------------

check

26 + 28 = 54

Using compound interest, it is found that Blake receives an annual rate of 4.27%.

Compound interest:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

Ivan's parameters are given by:

Hence:

[tex]A_i(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A_i(t) = 500000\left(1 + \frac{r}{4}\right)^{32}[/tex]

[tex]A_i(t) = 500000(1 + 0.25r)^{32}[/tex]

Blake's parameters are given by:

Thus:

[tex]A_b(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A_b(t) = 700000(1 + 0.125r)^{32}[/tex]

These amounts are equal, hence:

[tex]A_i(t) = A_b(t)[/tex]

[tex]500000(1 + 0.25r)^{32} = 700000(1 + 0.125r)^{32}[/tex]

[tex]\left(\frac{1 + 0.25r}{1 + 0.125r}\right)^{32} = \frac{700000}{500000}[/tex]

[tex]\left(\frac{1 + 0.25r}{1 + 0.125r}\right)^{32} = \frac{7}{5}[/tex]

[tex]\sqrt[32]{\left(\frac{1 + 0.25r}{1 + 0.125r}\right)^{32}} = \sqrt[32]{\frac{7}{5}}[/tex]

[tex]\frac{1 + 0.25r}{1 + 0.125r} = \left(\frac{7}{5}\right)^{\frac{1}{32}}[/tex]

[tex]\frac{1 + 0.25r}{1 + 0.125r} = 1.01057023172 [/tex]

[tex]1 + 0.25r = 1.01057023172 + 0.12632127896r[/tex]

[tex]0.12367872103r = 0.01057023172 [/tex]

[tex]r = \frac{0.01057023172}{0.12367872103}[/tex]

[tex]r = 0.0854[/tex]

Blake's rate is:

[tex]\frac{r}{2} = \frac{0.0855}{2} = 0.0427[/tex]

Blake receives an annual rate of 4.27%.

A similar problem is given at https://brainly.com/question/24507395

Answer:

Step-by-step explanation:

x² = -64

   = -1 · 64

Using -1 = i²:

x² = 64 · i²

Using 64 = 8²:

x² = 8² · i²

   = (8·i)²

Taking the square root of both sides:

x = 8i

If the repayment on a loan was Php 23600, the principal amount is equal to Php 131,111.11.

Given the following data:

Conversion:

12 months = 1 year

18 months = 1.5 year

To calculate the principal amount if the interest rate is 12% a year:

Mathematically, simple interest is given by the formula:

[tex]S.I = \frac{PRT}{100}[/tex]

Where:

Making P the subject of formula, we have:

[tex]P = \frac{100S.I}{RT}[/tex]

Substituting the given parameters into the formula, we have;

[tex]P = \frac{100 \times 23600}{12 \times 1.5}\\\\P = \frac{2360000}{18}[/tex]

Principal amount, P = Php 131,111.11

Read more: https://brainly.com/question/22621039

a.

The y-coordinate of the vector with its terminal point in the second quadrant is 6.

The magnitude of the vector, r = √(x² + y²) where x = x-coorcinate of vector = -5 and y = y-coordinate of vector.

Since r = √61 and r = √(x² + y²)

Making y subject of the formula, we have

y = √(r² - x²)  

Substituting the values of the variables into the equation, we have

y = √((√61)² - (-5)²)  

y = √(61 - 25)  

y = ±√36

y = ±6

Since r is in the second quadrant, its y-coordinate is positive.

So, y = 6

So, the y-coordinate of the vector with its terminal point in the second quadrant is 6.

b.

The direction angle of the vector with its terminal point in the second quadrant is 130°

The direction angle of the vector is gotten from tanФ = y/x

Subsstituting x and y into the equation, we have

tanФ = y/x

tanФ = 6/-5

tanФ = -1.2

tan(180° - Ф) = 1.2

Taking inverse tan of both sides, we have

180° - Ф = tan⁻¹(1.2)

180° - Ф = 50.2°

Ф = 180° - 50.2°

Ф = 129.8°

Ф ≅ 130° to the neares whole number

The direction angle of the vector with its terminal point in the second quadrant is 130°.

Learn more about vectors here:

https://brainly.com/question/18478651

Answer:

first one is 6.0 and the second is 130

Step-by-step explanation:

Answer:

The right answer is 32

Step-by-step explanation:

3/4 × 32 = 24

Answer:

18

Step-by-step explanation:

divide 24 by 4 which gives you 6. Multiply 6 by 3 which gives you 18 or (3÷4) × 24 = 18

Answer:

B

Step-by-step explanation:

In a function, every x-coordinate must be a different number.

If the same number appears more than once as an x-coordinate, it is not a function.

Answer: B

Using the plot, it is found that there is a 10% probability each year that a flood of 1,000 cubic meters per second will occur.

When y = 1,000, we have that x = 10%, hence, there is a 10% probability each year that a flood of 1,000 cubic meters per second will occur.

A similar problem is given at https://brainly.com/question/25757416

Step-by-step explanation:

the way I understand the description :

C is below B. they are on a kind of straight hill, and there is a straight "road" going up from C to B.

then, at B there is an antenna or other firm of mast going straight up.

therefore, this is not a right-angled triangle with 90 degrees at B (as it would be, if this would be in a flat plane).

but because it goes downhill from B to C the angle is 105 degree.

(a)(i)

now, imagine, there would be a horizontal plane either at B or at C. AB would have a true 90 degree angle with this plane. so, what is the angle of CB with this plane ?

this angle is the "excess" of the 90 degrees, as CB angles down from the horizontal plane at B, or angles up with the same angle from the horizontal plane at C.

what is the "excess" of 105 degrees vs. the standard 90 degrees ? 105 - 90 = 15 degrees.

(a)(ii)

the extended Pythagoras for not right-angled triangles :

c² = a² + b² - 2ab×cos(B)

B being the angle opposite of the Hypotenuse c.

so, we have

c² = 15² + 10² -2×15×10×cos(105) = 225 + 100 - 300×cos(105) =

= 325 - 300×cos(105) = 402.6457135...

c = 20.06603383... ≈ 20 m

Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.

Answer:

70°

Step-by-step explanation:

Since  PTS shape is equal to QTR

and  PTQ shape is equal to STR

and Since QTP = 10

and Since  PTS = 60

Add both up 70

Therefore PQR = 70°

Answer:

The expression is not factorable with rational numbers.

10x2+11X−6

Step-by-step explanation:

PLS Brainliest

Hiiiiiiiiiiiii

The value of x is 1 & y is 2 (a).

Steps are attached.

______

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

Answer:

answer is 400060

have a good day!!

If it's help pls give me Brainliest

tysm

Answer:

4000,060

answer explanation : when you add 4 times 100,000 ypu get 400,000 and now you get 400,000 and now you are going to muptiple 4,000,6 and 10.000 which is equal to 4,000,060

Answer:

2

Step-by-step explanation:

Answer: 3pi

Step-by-step explanation:

Guessed and it was right, sorry don’t have an explanation.

The rate of change of the area of the circle at that instant in square meters per hour will be 3π.

The pace at which one quantity changes in relation to another is known as the rate of change function.

Given that the circumference of a circle is increasing at a rate of π / 2 m/h at a certain instant the circumference is 12 π meters.

The rate of change of circumference will be calculated as,

dc/dt = π/2

d (2πr)/ dt = π / 2

dr / dt = 1 / 4

The rate of change in the area,

A = πr²

dA / dt = ( 2πr )  dr / dt

dA/dt = 12π x ( 1 / 4)

dA/dt = 3π

Therefore, the rate of change of the area of the circle at that instant in square meters per hour will be 3π.

To know more about rate of change follow

https://brainly.com/question/14282291

#SPJ2

Answer:

1/16

Step-by-step explanation:

3/4 ÷ 12

3/4 x 1/12

3/48 or 1/16

Hope this helps!

Answer:

1/16

Step-by-step explanation:

recipe uses 3/4 cup of sugar for one dozen cookies

3/4 cup ------ 12 cookies

x          -------  1 cookie

x * 12 = 3/4

x = 3/4 / 12

x = 3 / (4*12)

x = 1 / 4*4

x = 1/16

Answer:

13 AND 14

Step-by-step explanation:

THERE IS NO PICTURE OR ANY ANSWERS

Answer:

[tex]\LARGE\mathsf{f(x)\:=-\frac{3}{4}x\:+\:-\frac{5}{4}}[/tex]

Step-by-step explanation:

Given the two points from the graph, (-3, 1) and (1, -2). Use these points to solve for the slope using the following formula:

[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]

Let (x₁, y₁) = (-3, 1)

     (x₂, y₂) = (1, -2)

Substitute these points into the formula:

[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]

[tex]\LARGE\mathsf{m = \frac {-2\: -\: 1}{1\: -\: (-3)}\:=\:\frac {-2\: -\: 1}{1\: +\:3}\:=\frac{-3}{4}}[/tex]

m = -¾

Therefore, the slope of the given line is -¾.

Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis.  In order to solve for the y-intercept, we must use the slope, m = -¾, and one of the given points, (1, -2), and substitute these values into the slope-intercept form,  f(x) = mx + b:

f(x) = mx + b

-2 = -¾( 1 ) + b

-2 = -¾ + b

Add ¾ to both sides to solve for b:

-2 + ¾ = -¾ + ¾ + b

[tex]\LARGE\mathsf{y-intercept\:(b)\:=\:-\frac{5}{4} }[/tex]

Given the slope, m = -¾, and y-intercept, b = [tex]\LARGE\mathsf{-\frac{5}{4}}[/tex], the equation of the line in function notation is:

[tex]\LARGE\mathsf{f(x)\:=-\frac{3}{4}x\:+\:-\frac{5}{4}}[/tex]

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

Explanation:

Pick any two rows you want. I'll pick the middle two rows where every value is positive. So I'll pick these two rows:

They lead to the points (0,4) and (1,1). Apply the slope formula for these rows.

m = (y2-y1)/(x2-x1)

m = (1-4)/(1-0)

m = -3/1

m = -3

The slope is -3

Answer:

is not proportional

Step-by-step explanation:

10/-2= -5

7/-1=-7

4/0=0

1/1=1

-2/2=-1

-5/3= -1 2/3

Answer:

Step-by-step explanation:

(a + bi)^2 = (a + b)(a − b) + 2abi

= a² + (bi)² + 2 * a * bi

= a² + b²i² + 2abi

= as i² = -1

= a² - b² + 2abi

= (a + b) (a - b) + 2abi

Answer: This is what I turned in and it was right :)

Step-by-step explanation:

(a + bi)^2 = (a + b)(a − b) + 2abi

= a² + (bi)² + 2 * a * bi

= a² + b²i² + 2abi

= as i² = -1

= a² - b² + 2abi

= (a + b) (a - b) + 2abi

Answer:

0

Step-by-step explanation:

if x is 3 then;

3(3-1)=2×3+c

c=0

so if c=0 then

x=3

Answer:

C. X-4

Step-by-step explanation:

x^2+x-20

=(x-4)(x+5)

Answer:

C.

Step-by-step explanation:

Sorry I Can't explain because I'm busy right now

Answer:

0

Step-by-step explanation:

42=42+9b

We move all terms to the left:

42-(42+9b)=0

We add all the numbers together, and all the variables

-(9b+42)+42=0

We get rid of parentheses

-9b-42+42=0

We add all the numbers together, and all the variables

-9b=0

b=0/-9

b=0

Answer:

Slope = -3/2

Step-by-step explanation:

[tex]Slope = \frac{Change -in -y}{Change- in -x}\\\\\\\\Slope = \frac{-8 - 4}{-6 - (-14)}[/tex]

[tex]Slope = \frac{-12}{8}\\\\\\Slope = \frac{-3}{2}\\\\[/tex]

-Chetan K

Answer:

14

Step-by-step explanation:

First fond 40% of 20

20×40/100 = 8

So now there is a total of 20+8 =28

At the store you spend exactly half

28×50/100 =14

So now you are left with 28-14 =14

Step-by-step explanation:

A.

The incorrect statement in Triangle A is B

It is not a equilateral triangle. It is a isosceles triangle

B.

The incorrect statement in Triangle B is C

The missing angle is not 158. It is 68

C.

The incorrect statement in Triangle C is C

The missing angle is not 72 it is 36

Answer:

Type of variation

1) Direct variation

Simple equation y=Kx

Y varies directly with x

Practical example-

Radius of the circle lit by a car's

Light decreases (y) as the distance away from the garage decreases (c)

2) Inverse variation

Simple equation y=k/x

Y inversely with c

Example- the brightness of a car's light increase (y) as the distance away from the garage decreases (x)

3) Joint variation

Simple equation y=kxz

Y varies jointly with x and z

Example-The heat lose through a glass window (y) varies jointly with the area of the window (x) and the temperature differences between inside and outside

Step-by-step explanation:

Based on the information given, the amount of money that Mary will spend more for the headband will be $1.

Since Julie spent $15 on 3 headbands, the amount per headband will be:

= $15/3 = $5

Since Mary spent $48 on 8 headbands, the amount per headband will be:

= $48/8 = $6

Therefore, we can then calculate the difference between the values that are gotten. This will be:

= $6 - $5 = $1

Therefore, the difference is $1.

Learn more about division on:

https://brainly.com/question/24429956