Y=(x-2)^2+3 vertex form to standard form

Answers

Answer 1

The required vertex form of the given equation is y = x² - 4x  + 7.

What is the equation?

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

here,
y = (x - 2)² + 3

Simplifying the expression,
y = x² -4x + 4 + 3   {since (a - b)² = a² + b² -2ab}

y = x² - 4x  + 7

Thus, the required vertex form of the given equation is y = x² - 4x  + 7.

Learn more about equations here:

brainly.com/question/10413253

#SPJ1


Related Questions

express using positive exponent


[tex] {3c}^{ - 2} [/tex]

Answers

Answer: [tex]\frac{3}{c^2}[/tex]

Step-by-step explanation:

This uses the exponent rule [tex]a^{-b}=\frac{1}{a^b}[/tex].

How many full cases and additional items are needed to fulfill the order? 50 8

Answers

The computation illustrate that there'll be 13 cases and 2 additional units.

How to illustrate the information?

From the information given, it was stated that 80 units are needed, 6. units per case.

Therefore, the number of cases will be:

= 80/6

= 13 remainder 2.

Therefore, there'll be 13 cases and 2 additional units

Complete information

80 units are needed, 6. units per case. What is the number of cases and the number of additional units?

Learn more about computations on:

brainly.com/question/4658834

#SPJ1

The area of a rectangle is 44 ft², and the
Length of the rectangle is 3 ft less than twice
The width. Find the dimensions of the rectangle.

Answers

Answer:

Width = 5.5ft, Length = 8ft.

Step-by-step explanation:

Area of Rectangle = Length x Width

Let w be the Width of the rectangle.

From the information given from the question,

Length = 2w - 3 (3ft less than twice the width)

Area of Rectangle = [tex](2w-3)w\\=2w^{2} -3w[/tex] = 44

Now we can solve for w to find the dimensions.

[tex]2w^{2} -3w-44=0[/tex] (Quadratic Equations)

We can use the Quadratic formula to find w.

[tex]w=\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}[/tex]

Since a = 2, b = -3 and c = -44,

[tex]w=\frac{-(-3)+/-\sqrt{(-3)^{2}-4(2)(-44) } }{2(2)} \\= 5.5 or -4 (reject)[/tex]

We reject negative values here.

Therefore, the width of the Rectangle = 5.5ft

While the length of the rectangle = 2(5.5) - 3 = 11 - 3 = 8ft

Please help me put them in correct place

Answers

The inequalities that match the given expressions are

x ≤ 95

x > 100

5x ≤ 100

20 ≤ x ≤100

respectively

Writing linear inequalities

From the question, we are to match the statements with the corresponding inequalities

Nora's height(x) is at least 5 cm less than Stacy who is 100 cm tall

x ≤ 100 -5

x ≤ 95

Temperature(x) is greater than the boiling point of water (100 °C)

x > 100

John buys x chocolates worth $5 each but he has only $100 in his pocket

5x ≤ 100

Ronny decided not to exceed 100L of water usage and ends up using at least 1/5th of this limit every day

x ≤ 100

and

x ≥ 1/5 × 100

x ≥ 20 ≡ 20 ≤ x

20 ≤ x ≤100

Hence, the inequalities that match the given expressions are

x ≤ 95

x > 100

5x ≤ 100

20 ≤ x ≤100

respectively

Learn more on Writing inequalities here: https://brainly.com/question/1447311

#SPJ1

17. The Bricklayer needs 100 pieces of angle, each to be cut 54 3/16" long. 1 point
How many can be cut from a 20% length (do not include waste or thickness of
cut)? How many pieces of 20' angle are needed in order to have the 100
pieces?

Answers

The number of cuts from a 20% length is 2 and the number of 20' angle are needed in order to have the 100 pieces is 5

How to determine the number

From the information given;

The bricklayer needs = 100 pieces of angle

The number of cuts = 54

Length of cuts = 3/ 16'' Inches

a. To determine the number of cuts form a 20% length, we have to multiply the length by the percentage and by the initial number of cuts

= 20/ 100 × 3/ 16 × 54

= 0. 2 × 0. 1875 × 54

= 2. 0

The number of cuts would be 2

b. To determine the number of pieces of 20' angle to have 100 pieces we would divide the initial number of pieces by the angle

= 100/ 20

= 5 pieces

The number of pieces of 20' angle is 5

Thus, the number of cuts from a 20% length is 2 and the number of 20' angle are needed in order to have the 100 pieces is 5

Learn more about word problem here:

https://brainly.com/question/13818690

#SPJ1

Find the value of all trigonometric functions of 135°

Answers

Answer:

sin (- 135°)= – sin 135°= – sin (1 × 90°+ 45°) = – cos 45° = – 1√2

cos (- 135°)= cos 135°= cos (1 × 90°+ 45°) = – sin 45°= – 1√2

tan (- 135°) = – tan 135° = – tan ( 1 × 90° + 45°) = – (- cot 45°) = 1

csc (- 135°)= – csc 135°= – csc (1 × 90°+ 45°)= – sec 45° = – √2

sec (- 135°)= sec 135°= sec (1 × 90°+ 45°)= – csc 45°= – √2

cot (- 135°) = – cot 135° = – cot ( 1 × 90° + 45°) = – (-tan 45°) = 1

Step-by-step explanation:

hope this helps

for this graph, mark the statements that are true.​

Answers

Answer:

C,D

Step-by-step explanation:

C: Range refers to the y axis and all values shown on this graph (and even beyond the graph) are greater than 0

D: The domain refers to the x-axis. The line goes on forever both to the right and the left therefore meaning all x values are used.

How large a sample should be selected to provide a 95% confidence interval with a margin of error of 6? Assume that the population standard deviation is 40 . Round your answer to next whole number.

Answers

Using the z-distribution, it is found that a sample of 171 should be selected.

What is a z-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

The margin of error is:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.

For this problem, the parameters are:

[tex]z = 1.96, \sigma = 40, M = 6[/tex]

Hence we solve for n to find the needed sample size.

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]6 = 1.96\frac{40}{\sqrt{n}}[/tex]

[tex]6\sqrt{n} = 40 \times 1.96[/tex]

[tex]\sqrt{n} = \frac{40 \times 1.96}{6}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{40 \times 1.96}{6}\right)^2[/tex]

n = 170.7.

Rounding up, a sample of 171 should be selected.

More can be learned about the z-distribution at https://brainly.com/question/25890103

#SPJ1

Officially, variable names in Python can be any length and can consist of uppercase and lowercase letters ( A-Z, a-z ), digits ( 0-9 ), and the underscore character ( _ ). An additional restriction is that, although a variable name can contain digits, the first character of a variable name cannot be a digit. Python’s most-followed style guide, PEP8 also suggests we limit each line to 79 characters, so, to be extra careful, we will assume variables can be of at most 7 characters in length.How many variable names can there be in Python if we abide by these two rules?

Answers

Abiding by the two rules, the number of variable names we can have in Python are; 63

How to name variables in Python Programming?

The rules for python are given as;

1) Variable names in Python can be any length and can consist of uppercase and lowercase letters ( A-Z, a-z ), digits ( 0-9 ), and the underscore character ( _ ).

1b) An additional restriction is that, although a variable name can contain digits, the first character of a variable name cannot be a digit.

2) We limit each line to 79 characters, so, to be extra careful, we will assume variables can be of at most 7 characters in length.

Now, abiding by the two rules above, the number of variable names we can have in Python are;

26( A-Z) + 26(a-z) + 10(0-9) + 1 ( _ ) = 63 variable names

Read more about Python Programming at: https://brainly.com/question/26497128

#SPJ1

a = 2bh+6
make b subject algebraic expression ​

Answers

Answer:

b = (a - 6)/2h

Step-by-step explanation:

a = 2bh + 6 (subtract 6 from both sides)

a - 6 = 2bh (divide both sides by 2)

(a - 6)/2 = bh (divide both sides by h)

(a - 6)/2h = b

Brainliest, please :)

One-fifth of a number x is less than 8. Find the greatest possible prime number x.

Answers

Hello there, I am unable to use the “less than” symbol. Sorry :( .

1/5x "less than" 8
x “Less than” 40

Prime number is 37,41.
Therefore x is 37.


A bag contains 2 yellow balls, 3 green balls, 5 red balls and 6 black balls.
What is the probability of either a yellow ball or a red ball being drawn if
only one ball is drawn?

Answers

Answer:

7/16

Step-by-step explanation:

(2+5)/(2+3+5+6) = 7/16

The probability of either a yellow or a red ball being drawn if only one is drawn is 7/16.

What is probability?

The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event. The formula for probability is given by; P(E) = Number of Favourable Outcomes/Number of total outcomes.

According to the given question.

Numnber of yellow balls = 2

Number of green balls = 3

Number of red balls = 5

Number of black balls = 6

So,

The total number of balls in a bag = 2+ 3+ 5 + 6 = 16

And,

The sum of yellow and red ball = 2 + 5 = 7

Therefore,

The probability of either a yellow or a red ball being drawn if only one ball is drawn

= [tex]\frac{total\ number\ of \ red \ and \ yellow\ balls }{Total\ number\ of \ balls}[/tex]

[tex]= \frac{7}{16}[/tex]

Hence, the probability of either a yellow or a red ball being drawn if only one is drawn is 7/16.

Find out more inforation about probability here:

https://brainly.com/question/11234923

#SPJ2

Hector wants to laminate the tabletop in his study room. The tabletop is the shape of an isosceles trapezoid shown here. If laminating costs $4 per square foot, what is the total cost to laminate the tabletop?

A trapezoid with a height of 4 feet and bases of 6 feet and 10 feet is shown.

$136
$128
$112
$32

Answers

The total cost to laminate the table top is $128.

What is the total cost to laminate the table top?

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides.

The first step is to determine the area of the table top.

Area of a trapezoid = 0.5  x (sum of the lengths of the parallel sides) x height

0.5 x (6 + 10) x 4 = 32 square foot

Now, multiply the area by the cost per square foot

32 x 4 = $128

To learn more about trapezoids, please check: https://brainly.com/question/25748893

#SPJ1

Will give 80 points!
Method of Travel to School
Walk/Bike Bus Car Row totals
Under age 15 60 165
Age 15 and above 65 195
Column totals 152 110 98 360


What percentage of students under age 15 travel to school by car? Round to the nearest whole percent.
11%
18%
41%

Answers

Answer:

There are about 80 students age 15 and above take a car to school.

Step-by-step explanation:

1. For all the columns the total has been given.

2. Bus is taken as 60 as walk/bike has been given 65 under age 15.

3. 195 row total Age 15 and above has been provided and updated.

4. Walk/Bike 152, 65 is already given Age 15 and above difference is 87.

5. Bus 60 under age 15 is already given total 110 difference is 50.

6. Age 15 and above 65,50,195 (Total) is already given row difference is 80.

7. Car is Age 15 and above is 80 and Total column is 98 difference is 18.

8. Age 15 and above take car is 80.

Answer:

its 41%

Step-by-step explanation:

i took the test

I'm have some issues with the problem shown in the screenshot and would love some help.

Answers

The dimensions and volume of the largest box formed by the 18 in. by 35 in. cardboard are;

Width ≈ 8.89 in., length ≈ 24.89 in., height ≈ 4.55 in.

Maximum volume of the box is approximately 1048.6 in.³

How can the dimensions and volume of the box be calculated?

The given dimensions of the cardboard are;

Width = 18 inches

Length = 35 inches

Let x represent the side lengths of the cut squares, we have;

Width of the box formed = 18 - 2•x

Length of the box = 35 - 2•x

Height of the box = x

Volume, V, of the box is therefore;

V = (18 - 2•x) × (35 - 2•x) × x = 4•x³ - 106•x² + 630•x

By differentiation, at the extreme locations, we have;

[tex] \frac{d V }{dx} = \frac{d( 4 \cdot \: {x}^{3} - 106 \cdot \: {x}^{2} + 630\cdot \: {x} ) }{dx} = 0[/tex]

Which gives;

[tex] \frac{d V }{dx} =12\cdot \: {x}^{2} - 212\cdot \: {x} + 630 = 0[/tex]

6•x² - 106•x + 315 = 0

[tex]x = \frac{ - 6 \pm \sqrt{106 ^2 - 4 \times 6 \times 315} }{2 \times 6} [/tex]

Therefore;

x ≈ 4.55, or x ≈ -5.55

When x ≈ 4.55, we have;

V = 4•x³ - 106•x² + 630•x

Which gives;

V ≈ 1048.6

When x ≈ -5.55, we have;

V ≈ -7450.8

The dimensions of the box that gives the maximum volume are therefore;

Width ≈ 18 - 2×4.55 in. = 8.89 in.

Length of the box ≈ 35 - 2×4.55 in. = 24.89 in.

Height = x ≈ 4.55 in.

The maximum volume of the box, V ≈ 1048.6 in.³

Learn more about differentiation and integration here:

https://brainly.com/question/13058734

#SPJ1

solve the following portion for x/11=8/3. round to nearest tenth​

Answers

Answer is 29.3
Step by step
X/11 = 8/3
Cross multiply
3x = 88
Solve for x, divide both sides by 3
X = 29.333
Round to nearest tenth
X = 29.3

The total cost of two umbrellas and one cap is is $20 the total cost for one umbrella and two caps is $16
what is the price of each cap?
what is the price of what umbrella ?

Answers

If the total cost of two umbrellas and one cap is is $20 the total cost for one umbrella and two caps is $16 then the price of one umbrella is $8 and price of one cap is $4.

Given that the total cost of two umbrellas and one cap is is $20 the total cost for one umbrella and two caps is $16.

We have to find the price of one umbrella and one cap.

We have to form equations first to find the price of umbrella and cap.

Equation of two variables look like ax+by=c. It can be a linear equation, quadratic equation or a cubic equation.

let the price of umbrella be x and price of cap is y.

We know that total cost is equal to price of one unit multiplied by the units.

According to question.

2x+y=20----------1

x+2y=16-----------2

Multiply equation 2 by 2 and then subtract resulted equation from equation 1.

2x+y-2x-4y=20-32

-3y=-12

y=-12/-3

y=4

put the value of y in equation 2 to get the value of x.

x+2y=16

x+2*4=16

x+8=16

x=16-8

x=8

Hence the price of one umbrella is $8 and the price of one cap is $4.

Learn more about equations at https://brainly.com/question/2972832

#SPJ1

help me pls: what is
four and two eighths minus two and five eighths equals

Answers

Answer:

13/8

Step-by-step explanation:

4 2/8 - 2 5/8

34/8 - 21/8 = 13/8

1 5/8 as a mixed fraction

Question 2: Xiulin and Meifang had an equal number of postcards. Meifang gave some of her postcards to Xiulin. After that, Meifang had 76 fewer postcards than Xiulin. Given that Meifang had 72 postcards left, find the number of postcards Xiulin had at first.​

Answers

110 postcards Xiulin had at first.

What is algebric equation?

Algebric equation is a mathematical statement in which two equation set equal to each other.

Let the number of postcards belonging to Xiulin and Meifang be x.

Let the number of postcard Meifang gave to Xuilin be 'a'

Number of postcard left with meifang

=> x-a = 72                                                              

=> x = 72+a

Meifang had 76 fewer postcards than Xiulin.

so, (x+a)-72=76

   72+a+a-72=76

   2a = 76

   a = 38

meifang give 38 cards to xuilin

x = 72+38

 = 110

to know more please refer: https://brainly.com/question/4344214

#SPJ9

Which is the graph of the inequality?

5y+x>−10

Number graph ranging from negative twenty to twenty in increments of two on the x and y axes. A dotted line with a positive slope is drawn in the fourth quadrant of the graph. The area above the line is shaded gray.


Number graph ranging from negative ten to ten on the x and y axes. A solid line passes through (negative one, zero) and (zero, three). The area to the left of the line is shaded gray.


Number graph ranging from negative twenty to twenty in increments of two on the x and y axes. A solid line passes through (zero, negative fourteen) and (two, zero). The area to the right of the line is shaded gray.


Number graph ranging from negative ten to ten on the x and y axes. A dotted line passes through (zero, negative two) and (five, negative three). The area above the line is shaded gray.

Answers

We can simplify the inequality to:

y > (-1/5)*x - 2

From that, we conclude that the correct option is the last one.

Which is the graph of the given inequality?

Here we have the inequality:

5y + x > -10

If we isolate y, we get:

y > (-10 - x)/5

y > (-1/5)*x - 2

Then the inequality will be a dashed/dotted line with a negative slope, that passes through the point (0, -2), such that the region above and to the right of the line is shaded.

From that we conclude that the correct option is the last one:

"Number graph ranging from negative ten to ten on the x and y axes. A dotted line passes through (zero, negative two) and (five, negative three). The area above the line is shaded gray."

If you want to learn more about inequalities:

https://brainly.com/question/18881247

#SPJ1

Complete the frequency table:


Method of Travel to School
Walk/Bike Bus Car Row totals
Under age 15 18 165
Age 15 and above 65 195
Column totals 152 110 98 360


What percentage of students age 15 and above travel to school by bus? Round to the nearest whole percent.

Answers

The percentage of students age 15 and above travel to school by bus is 47%

How to complete the table?

The table of values is given as:

                     Method of Travel to School

                            Walk/Bike    Bus    Car Row totals

Under age 15                            18                 165

Age 15 and above    65                                 195

Column totals          152          110        98      360

Using the column total of column 1, we have:

Under age 15 + 65 = 152

This gives

Under age 15 = 87

Using the column total of column 2, we have:

Age 15 and above + 18 = 110

This gives

Age 15 and above  = 92

Using the row total of row 1, we have:

Car + 87 + 18 = 165

This gives

Car = 60

Using the row total of row 2, we have:

Car + 65 + 92 = 195

This gives

Car = 38

So, the complete frequency table is

                     Method of Travel to School

                            Walk/Bike    Bus    Car Row totals

Under age 15           87              18      60        165

Age 15 and above    65          92        38        195

Column totals          152          110        98      360

The percentage of students age 15 and above travel to school by bus is:

Percentage = 92/195 * 100%

This gives

Percentage = 47%

Read more about frequency table at:

https://brainly.com/question/12576014

#SPJ1

The Royal Fruit Company produces two types of fruit drinks. The first type is 55% pure fruit juice, and the second type is 80% pure fruit juice. The company is attempting to produce a fruit drink that contains 70% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 140 pints of a mixture that is 70% pure fruit juice?

Answers

We need 56 pints of the 55 % pure fruit juice and 84 pints of the 80 % pure fruit juice to prepare 140 pints of 70 % pure fruit juice.

How to use weighted averages to find the correct juice concentration

In this problem we have to use two kinds of juice with different concentrations. To get a certain concentration, we must adjust quantities of each kind and weighted averages offers a method that is easy to apply:

70 · 140 = 55 · x + 80 · (140 - x)

70 · 140 = 80 · 140 - 25 · x

25 · x = 10 · 140

x = 56

We need 56 pints of the 55 % pure fruit juice and 84 pints of the 80 % pure fruit juice to prepare 140 pints of 70 % pure fruit juice.

To learn more on weighted averages: https://brainly.com/question/28042295

#SPJ1

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-14x^2+1035x-10266

Answers

The price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit is 62.13

Quadratic equation

y = -14x² + 1035x - 10266

solve the quadratic equation

-14x² + 1035x - 10266 = 0

x = -b ± √b² - 4ac / 2a

= -1035 ± √1035² -4(-14)(-10266) / 2(-14)

= -1035 ± √1071225 - 574896 / -28

= -1035 ± √496329 / -28

x = 1035 / 28 ± √496329 / 28

x = 11.80 or 62.13

The maximum value of x is 62.13

Learn more about quadratic equation:

https://brainly.com/question/1214333

#SPJ1

– 42 – 54 + 96 =

what is the answer

Answers

Answer:

Answer:the answer is zero

Answer:the answer is zero Step-by-step explanation:

Answer:the answer is zero Step-by-step explanation:when we add -42 and -54 the answer we get is -96. -96and +96 cut each other and then the answer is zero

[tex] - 42 - 54 + 96 = 0[/tex]

The profit function for a certain commodity is given by () = 110 − 2 − 1000. Find the level of production that yields maximum profit and hence find the maximum profit.

Answers

Based on the profit function given, the level of production that yields the maximum profit is 55 units. The maximum profit is $2,025.

What is the maximum profits unit?

With a profit function:

=-x² + 110x - 1,000

Using a parabola function, we know:

= -b / 2a

The maximum units is:

= -110 / (-2 x 1)

= 55 units

The maximum profit is:

= -(55)² + (110 x 55) - 1,000

= $2,025

Find out more on finding the maximum profit at https://brainly.com/question/13799721

#SPJ1

Rebecca is playing a video game that involves planting and cutting down trees. She moves up an energy level for each tree she plants, and she moves down a level for each tree she cuts. If Rebecca reaches energy level 10, she will earn bonus points.

Rebecca is currently at energy level 4. The results of her next 3 turns are:
Turn 1: 6 trees cut
Turn 2: 8 trees planted
Turn 3: 1 tree cut

Answer the questions to find out whether Rebecca earned bonus points in the next 3 turns. Use the number line to help you add.

Answers

Answer:

She does not get bonus points and she ends up at level 5.

Equation: 4 - 6 + 8 -1 = 5

Equation using only addition: 4 + -6 + 8 + -1 = 5

I hope this helps!

The length of a rectangle is 1 yd more than double the width, and the area of the rectangle is 66 yd^2 . Find the dimensions of the rectangle.

Answers

The dimensions of the rectangle as described in the task is; 12.4 by 5.7 yd.

What is the dimension of the rectangle?

Since the area, length and breadth of the rectangle are as described, it follows that;

66 = x(2x+1)

66 = 2x² + 1

x² = 32.5

x = 5.7

Therefore, the dimensions are 5.7 and 12.4.

Read more on area of a rectangle;

https://brainly.com/question/25292087

#SPJ1

Is x – 5 a factor of the function f(x) = x3 – 5x2 + 7x – 35? Use the Remainder Theorem to justify your answer.

Answers

Since the value of f(5) is zero, hence x – 5 a factor of the function f(x) = x^3 – 5x^2 + 7x – 35,

Remainder theorem

In order to determine whether x – 5 a factor of the function f(x) = x^3 – 5x^2 + 7x – 35, we will show that f(5) = 0

Substitute x = 5 into the function to have;

f(5) = 5^3 – 5(5)^2 + 7(5) – 35

f(5) = 125 - 125 + 35 - 35

f(5) = 0

Since the value of f(5) is zero, hence x – 5 a factor of the function f(x) = x^3 – 5x^2 + 7x – 35,

Learn more on remainder theorem here: https://brainly.com/question/13328536

#SPJ1

A customer's stock value seems to be rising exponentially. The equation for
the linearized regression line that models this situation is log(y) = 0.30x +0.296,
where × represents number of weeks. Which of the following is the best
approximation of the number of weeks that will pass before the value of the
stock reaches $600?

Answers

Answer:

B: 8.3

Step-by-step explanation:

We will substitute 600 to the y, since our final answer will be a number that makes the value of the stock reach $600.

log (y) = 0.30x + 0.296

Replacing y with 600, the equation becomes:

log (600) = 0.30x + 0.296

2.78 = 0.30x + 0.296

To move all the x and real numbers to different sides, we take 0.296 away from both sides to form:

2.78 - 0.296 = 0.30x

2.484 = 0.30x

x = 8.28

The approximation of 8.28 will be rounded to 8.3.

Then our final answer will be B: 8.3

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $5660 and his stock in Company B was worth $2500. The stock in Company A has increased 5% since last year and the stock in Company B has increased 9%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary)

Answers

Using proportions, it is found that the total percentage increase in the investor's stock account was of 6.2%.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

The values of the stocks of Company A and Company B, after the increase are given, respectively, by:

Company A: 5660 x 1.05 = $5,943.Company B: 2500 x 1.09 = $2,725.

The total values are given as follows:

Before the increase: 5660 + 2500 = 8160.After the increase: 5943 + 2725 = 8668.

The percent increase is given by the increase divided by the initial value and multiplied by 100%, hence:

P = (8668 - 8160)/8160 x 100% = 6.2%.

The total percentage increase in the investor's stock account was of 6.2%.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Other Questions
find the value for the following Which group did the United States eventually side with in World War I?A. only BritainB. the triple ententeC. the triple allianceD. the ottoman empire Let a and b be positive integers such that the product of all positive divisors of a equals the product of all positive divisors of b. Prove that a The sum of the reciprocals of three consecutive integers is 47/60. What is the sum of the three integers Post-operative appointments should be approximately __________ in length. Find the area of the rhombus.9 m9 m9 m9 m Solve the following:-5 + 10(2 (-5) 3) + 3Give your answer in simplest form. When a person is standing upright, the weight of anything being lifted and carried in the hands is first reflected onto the: 9. Construct Arguments Write a two-columnproof for the Angle Bisector Theorem. MP.3 as mikayla prepares for her day, she reflects on her career choice as an esthetician. according to the text, her profession is particularly rewarding in that it allows her to help others feel good and make a positive impact on their The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as1L-10log where lo-10-12and is the least intense sound a human ear can hear. What is the approximate loudnessof a dinner conversation with a sound intensity of 10-7? Select the correct text In the passage.Whichthree sentences in this excerpt from Franklin D. Roosevelt's "Day of Infamy" speech make an emotional appeal by suggesting thatAmerica's Innocence was betrayed by certln enemies?Japan has,therefore, undertaken a surprise offensive extending throughout the Paclfic area. The facts of yesterday speak for themselves. Thepeople of the Unlted States have already formed their opinions and well understand the implications to the very life and safety of our nation.As Commander-In-Chlef of the Army and Navy, I have directed that all measures be taken for our defense.Always will we remember the character of the onslaught against us. No matter how long it may take us to overcome this premeditated invaslon,the American people in their righteous might will win through to absolute victory.I belleve I Interpret the will of the Congress and of the people when I assert that we will not only defend ourselves to the uttermost but will makevery certaln that this form of treachery shall never endanger us again.Hostilities exist. There is no blinking at the fact that our people, our territory and our interests are in grave danger.With confidence It our armed forces - with the unbounded determination of our people - we will galn the inevitable triumph so help us God.I ask that the Congress declare that since the unprovoked and dastardly attack by Japan on Sunday, December Seventh, 1941, a state of war hasexisted between the United States and the Japanese Empire.Reset Mrs. jones has been throwing up for several days, unable to eat or drink. you find her in bed. she is pale, lethargic, and her eyes are dull. she is likely suffering from:_______ 1. Answer the questions below to help you write your case summary. 2. Use the scroll bar on the right to move down the page. Criminal Charges What are the suspects accused of doing Company B is setting up commercial printing services on their network. Which of these are advantages of centrally managed commercial printers 22. What is the area of minor sector DFE?79.3 square cm15.2 square cm37.9 square cm66.1 square cm Avis needs some relief from the responsibilities of providing care for her husband. the social workers at aging alternatives indicates that she will most likely locate respite care through ______. What are the answers to quick check for 13-2 equivalence with customary units of capacity in savvas 4. (a)(i)Show that log4x=2log16x. (ii)Show that log x=3logb x. (iii) Show that logx=(1+log3)logix. five fundamental economic problems