15 POINTS & BRAINLIEST MARK!!!!!!
1. Find the amount in an account where $500 in invested at 2.5% compounded quarterly for a period
of 10 years.
2. Find the amount in an account where $500 is invested at 2.5% compounded continuously for a period
of 10 years.
Each answer must include the intermediate steps used to arrive at the answer.

Answer:

D. The data point is 2.5 standard deviations away from 0.5.

Step-by-step explanation:

Z-score is the measure of how many number of standard deviations, the data point, is away from the mean. It also measures how many standard deviations below or above the population mean, a raw score is.

Given, a set of data has a mean (μ) of 0.5 and a standard deviation (σ) of 0.01 with a data point of the set has a z-score of 2.5.

i.e the data point is 2.5 standard deviations away from the mean 0.5.

Hope this helped!

-30(E+H=50)

-30E-30H=-1500

30E+60H=1950

(add the 2 equations)

0E+30H=450

H=15

(plug H into first equation)

E+15=50

E=35

Answer:

1. 88 degrees

2. x=8

Step-by-step explanation:

1.

In a hexagon, all of the interior angles must add up to 720 degrees. Therefore:

x+125+120+95+120+172=720

x=88

2.

Since opposite sides of a parallelogram are equal:

2x=x+8

x=3x-16

Let's go with the first equation.

2x=x+8

Subtract x from both sides:

x=8

You can plug this into the second equation to ensure it works:

3(8)-16=8

24-16=8

8=8

Hope this helps!

Answer:

1. 88

2. 48

Step-by-step explanation:

1. The total of the inner angles of the hexagon is 720

95+120+120+172+125=632

720-632=88

2. 2x=x+8

x=8

If we put all the x's in place and add them, the result is: 48

Answer:

The digit goes to the right of the decimal point

Step-by-step explanation:

If you had [tex]\frac{1}{10}[/tex], you would convert that to 0.1, which is equivalent to the fraction form. The one goes on the right of the decimal point.

Answer:

Two algebraic expressions are equivalent if they always lead to the same result when you evaluate them, no matter what values you substitute for the variables. For example, if you substitute x := 3 in x + x + 4, then you get 3 + 3 + 4, which works out to 10; and if you substitute it in 2x + 4, then you get 2(3) + 4, which also works out to 10.

Step-by-step explanation:

Answer:

Look at the attachment

Answer:

1.32

Step-by-step explanation:

3 gallon = 1

12 quarts = 4

12 quarts =1

$15.84=  1.32

Answer:

$1.32 per quart

Step-by-step explanation:

To find the price per quart, we must divide the price by the number of quarts.

price / quarts

We are told that a 3 gallon container costs $15.84. First, we must find out how many quarts are in 3 gallons.

We know that 1 gallon is equal to 4 quarts.

Let’s set up a proportion.

quarts/ gallons = quarts/ gallons

4 quarts /1 gallon = x quarts/ 3 gallons

4/1= x/3

Multiply both sides by 3

3*4/1= x/3*3

3*4/1=x

3*4=x

12=x

There are 12 quarts in 3 gallons.

Now we know how many quarts are in 3 gallons. We can find the price per quart.

price / quarts

It costs $15.84 for 12 quarts.

$15.84/12 quarts

Divide 15.84 by 12

$1.32 / quart

It costs $1.32 per quart of window cleaner.

Answer:

D.

Step-by-step explanation:

They are parallel and therefore has the same slope.

Answer:

the horse walked 20 feet away i think

Step-by-step explanation:

i say this because it shows an arrow from a horse to the 20 square feet

Answer:

Step-by-step explanation:

it is a three quarter circle with radius=7.1 ft

reqd. area=3/4 πr²

=3/4×π×7.1²

≈3/4×3.14×7.1²

≈118.72 ft²

Answer:

A

Step-by-step explanation:

There is 2 of the same number on the Y

Answer:

B)

Step-by-step explanation:

Common ratio = a2/a1 = 3/1 = 3

[tex]a_{n}=ar^{n-1}\\\\a_{4}=1*3^3\\\\ = 27[/tex]

Answer:

-1/5x -4/5 = y

Step-by-step explanation:

f(x) = -5x -4

y = -5x-4

Switch x and y

x = -5y -4

Solve for y

Add 4

x+4 = -5y

Divide by -5

-1/5x - 4/5 = -5y/-5

-1/5x -4/5 = y

Answer:

f(x) = -5x - 4

let f(x)= y

y = -5x -4

x = -5y - 4

-5y = x+4

y = - (x +4)/5

The inverse of f(x) is -(x +4)/5

Hope this helps.

Answer:

8 times a number plus 7

Step-by-step explanation:

Answer:

1 hour and 24 min

Step-by-step explanation:

Jane does 3/4 job done in 21 min

Eleanor does 1/4 job done in 21 min

21*4=84

60+24

1 hour and 24 min

The work rate when they work together is much higher than when Eleanor

does the job herself.

Reasons:

Jane's work rate = 3 × Eleanor's work rate

The time it takes both Jane and Eleanor to do a job = 21 minutes

Required:

The time it would take Eleanor to do the job herself.

Solution:

Let x represent the portion of the job performed by Eleanor in the 21

minutes, we have;

The portion performed by Jane = 3 × x

Therefore;

The job done when they work together for 21 minutes = x + 3·x = 4·x

The time it takes Eleanor to do the job portion, x = 21 minutes

Therefore;

The time it will take Eleanor to do a job of 4·x = 4 × 21 minutes = 84 minutes

Learn more about work word problems here:

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Answer:

2

Step-by-step explanation:

7 1/2 - 5 1/2

7.5 - 5.5

2

Answer:

18 feet 3 inches

Step-by-step explanation:

4 feet 7 inches + 6 feet 11 inches + 6 feet 9 inches =

10 feet 18 inches + 6 feet 9 inches =

16 feet 27 inches =18 feet 3 inches

Answer: 9.25 Feet

Step-by-step explanation:

Step 1: Take all the feet add them together = 7Ft or 84 inches

Step 2: Now add all the inches together to = 27 inches

Step 3: Add 27 + 84 = 111

Step 4: Divide that by 12 cause 1 foot = 12 inches

Step 5: should equal 9.25 :)

Answer:

-22/3 =x

Step-by-step explanation:

(4x-4) /(x+4) = 10

Multiply each side by (x+4)

(4x-4) /(x+4) * (x+4) = 10 * (x+4)

(4x-4) = 10 * (x+4)

Distribute

4x-4 = 10x+40

Subtract 4x from each side

4x-4-4x = 10-4x+40

-4 = 6x+40

subtract 40 from each side

-4 -40 = 6x+40-40

-44 = 6x

Divide each side by 6

-44/6 = -6x/6

-22/3 =x

Answer:

x = -22/3

Step-by-step explanation:

4x - 4 / x + 4 = 10

=> 4x - 4 = 10(x + 4)

=> 4x - 4 = 10x + 40

=> 4x - 10x = 40 + 4

=> -6x = 44

=> x = -44/6

=> x = -22/3

Answer:

the difference would be 28 degrees.

Step-by-step explanation:

The question says difference so we subtract the two following temperatures 30 and -2 which would be 28 degreees.

Answer: The difference between the high and low temperature in the thermometer is 32°F.

Step-by-step explanation:

Given information: Highest temperature = 30°F and the lowest temperature = -2°F.

We need to find the difference between the high and low temperature in the thermometer.

Difference between the high and low temperature is

Difference = Highest temperature - Lowest temperature

Difference = 30°F - (-2°F)

Difference = 30°F + 2°F

Difference = 32°F

Answer: the answer is A

Step-by-step explanation:

1st:subtract 42-14=28(the difference)

2nd: divide 42÷14=3

OPTION NUMBER D IS CORRECT

D.Both B and C.

Step-by-step explanation:

function is the relation from set A to B such that every element of set A(domain) should have only 1 image in Set B(co domain).

Answer:

[tex]f(x) = x + 3[/tex]

Step-by-step explanation:

Given

Points (−5,−2) and (−3,0)

Required

Find a linear function that passes through the given points

The question implies that we solve for the equation for the line;

First, the slope of the line must be calculated;

This is calculated as thus:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where [tex](x_1,y_1) = (-5,-2)\ and\ (x_2,y_2) = (-3,0)[/tex]

So, [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes

[tex]m = \frac{0 - (-2)}{-3 - (-5)}[/tex]

[tex]m = \frac{0 + 2}{-3 + 5}[/tex]

[tex]m = \frac{2}{2}[/tex]

[tex]m = 1[/tex]

The equation of the line can then be calculated using any of the given points;

Using

[tex]m = \frac{y - y_1}{x - x_1}[/tex]

[tex]Where\ (x_1,y_1) = (-5,-2)\ and\ m =1[/tex]

We have

[tex]1 = \frac{y-(-2)}{x-(-5)}[/tex]

[tex]1 = \frac{y+2}{x+5}[/tex]

Multiply both sides by x + 5

[tex](x+5)*1 = \frac{y+2}{x+5} * (x+5)[/tex]

[tex]x + 5 = y + 2[/tex]

Subtract 2 from both sides

[tex]x + 5 - 2 = y + 2 - 2[/tex]

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

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

Replace y with f(x)

[tex]f(x) = x + 3[/tex]

Hence, from the list of given options; Option B is correct

Answer: B. f(x) = x + 3

Step-by-step explanation:

Hello, please consider the following.

PART 2

Let's note [tex](x_i)_{1\leq i\leq 11}[/tex] the 11 numbers.

We can write the following

[tex]x_1^2+...+x_{11}^2=(x_1+1)^2+...+(x_{11}+1)^2\\\\=x_1^2+...+x_{11}^2+2(x_1+...+x_{11})+11\\\\\text{So } 2(x_1+...+x_{11})+11 = 0\\\\(x_1+2)^2+...+(x_{11}+2)^2=x_1^2+...+x_{11}^2+4(x_1+...+x_{11})+4*11\\\\\text{As we know that }2(x_1+...+x_{11})+11 = 0\\4(x_1+...+x_{11})+4*11=-11*2+4*11=22[/tex]

So the sum of squares changes by

[tex]\boxed{ \ 22 \ }[/tex]

PART 4

Let's say that we have n points at the beginning.

We will add n-1 points the first time, we will get n + n  - 1 = 2n -1 points.

And then, the second time we add 2n - 1 - 1 points and we get

2n - 1 +2n - 2 = 4n - 3.

Finally, we do it a last time, we add 4n - 3 - 1 points and we get 4n - 3 + 4n - 4 points = 8n - 7  and it must be 65.

So, 8n -7 = 65 <=> 8n = 65+7=72  <=> n = 72/8=9

[tex]\boxed{= \ 9}[/tex]

Thank you

Answer:

So to start, the first number in the set is usually on the x axis. The x axis is the line going to the right. You go two ticks on there. Next is the second number, so what you do is just go up 5 ticks from there andd there ya go, you graphed it!

Um, I'm not very good at explaining but I hope that makes sense haha. I don't really understand the point of marking brainliest, but if you want you can mark mine it

Taking 1 cm = 1 unit we draw the x-axis and y-axis and plot (2,5) at a distance of 2 from x-axis and distance  of 5 from y-axis.

A point has two inputs namely the x-coordinate and y-coordinate. The  x-coordinate and y-coordinate is the perpendicular distance from y axis and x axis respectively.

Given point is (2,5)

Plot x=2 at a perpendicular distance from y axis measured along positive x axis

plot y=5 at a perpendicular distance from x axis measured along positive y axis

and we get the required point.

The point (2,5)  is plotted in the graph attached with the answer.

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Answer:3,-7

Step-by-step explanation:

Answer:

y = 7x

y = 2x -3

y = 3

x = -2

Step-by-step explanation:

a)Parallel to y=7x+2 through the point (0,0)

This line will have a form:

Considering the given point of (0,0), to find the value of b:

The line is:

b)Slope of 2 through the point (0,−3)

Solving as above:

c)A horizontal line through the point (0,3)

A horizontal line will have constant value for y for any value of x:

d)A vertical line through the point (−2,0)

A vertical line will have constant value of x for any value of y:

Answer:

Step-by-step explanation:

x, y, z   -  numbers to find

The difference between 4 times the first number and the second number is negative 3:

4x - y = -3

  - y = -3 - 4x

    y = 3 + 4x

The sum of three numbers is 16:

x + y + z = 16

x + 4x + 3 + z = 16

 5x + z = 13

  z = 13 - 5x

The sum of twice the first​ number, 5 times the second​ number, and 6 times the third number is 85:

2x + 5y + 6z = 85

2x + 5(3 + 4x) + 6(13-5x) = 85

2x + 15 + 20x + 78 - 30x = 85

      -8x + 93 = 85

        -8x = -8

          x = 1

y = 3 + 4•1 = 7

z = 13 - 5•1 = 8

Veryfying:

1 + 7 + 8 = 16

2•1 + 5•7 + 6•8 = 2 + 35 + 48 = 85

Answer: 360 / 24 = 15

Step-by-step explanation :

Since the sum of the exterior angles is always 360 degrees, if you divide 360 degrees by 24 degrees you get 15 which is the number of equal exterior angles and therefore 15 vertices and sides to the polygon.

15 sides

The polygon has 15 sides

360/24=15

Answer:

Step-by-step explanation:

No because rulers measure distance not angles. Rulers also do not have all the angles on them as they are not a protractor