Dale has $1,000 to invest. He has a goal to have $2,400 in this investment in 12 years. At what annual rate compounded continuously will Dale reach his goal?

Answer:

a. 1.6

b. 16

c. 0.16

d. 1.6

Answer:

The difference in costs including tax between the two nights is $53

Step-by-step explanation:

To find the cost of the hotel suite on Monday including tax, we first calculate the amount of tax by multiplying the room rate by 6% (0.06):

$299.00 * 0.06 = $17.94

So the total cost of the room on Monday including tax is:

$299.00 + $17.94 = $316.94

Next we find the cost of the hotel suite on Friday including tax:

$349.00 * 0.06 = $20.94

So the total cost of the room on Friday including tax is:

$349.00 + $20.94 = $369.94

Finally, to find the difference in costs between the two nights, we subtract the cost of the room on Monday including tax from the cost of the room on Friday including tax:

$369.94 - $316.94 = $53

The difference in costs including tax between the two nights is $53.

Answer:

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

The cost x including a 6% tax is:

The difference in costs including tax is:

When Olivia tries to cut a piece of metal 45 inches long, the piece of metal ends up being 43.5 inches long, then there is an approximate percent error of 3.33%  in this situation.

Therefore the answer is 3.33%.

To calculate the approximate percent error in this situation, we can use the formula:

Percent Error = (|Experimental Value - Theoretical Value| / Theoretical Value) x 100

In this case, the experimental value is 43.5 inches and the theoretical value is 45 inches. Plugging these values into the formula, we get:

Percent Error = (|43.5 - 45| / 45) x 100

= (1.5 / 45) x 100

= 0.033 x 100

= 3.33%

So the approximate percent error in this situation is 3.33%.

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The linear equation that passes through these two points is:

y = -4x

A general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that the line passes through two known points (x₁, y₁) and (x₂, y₂), then we can write the slope as:

a = (y₂ - y₁)/(x₂ - x₁)

Here we know the two points (-2, 8) and (5, -20), so the slope is:

a = (-20 - 8)/(5 + 2) = -28/7 = -4

So the line is:

y = -4*x + b

To find the value of b, we can replace the values of the point (-2, 8), so we will get:

8 = -4*(-2) + b

Now we can solve this for b.

8 = -4*(-2) + b

8 = 4*2 + b

8 = 8 + b

8 - 8 = b

0 = b

Then the linear equation is:

y = -4*x

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Answer:

453

Step-by-step explanation:

To perform long division of 11,778 by 26, we follow these steps:

452

_____

26 ) 11,778

-104

------

157

156

----

21

Therefore, 11,778 divided by 26 is equal to 452 with a remainder of 21.

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Answer:

False

Step-by-step explanation:

y < -2x -2 Substitute in -1 for x and 0 for y and see if the statement is true.

0 < -2(-1) - 2

0 < 2-2

0 < 0  

This is a false statement.                                                                                                                                                                                                                                                                  

Answer: A / No.

Step-by-step explanation:

     We will substitute the point given, (-1, 0) and see if the inequality is true after simplifying.

     Given:

y < -2x - 2

     Substitue:

0 < -2(-1) - 2

     Multiply:

0 < 2 - 2

     Subtract:

0 < 0 ✗

     0 is not less than 0, so this point is not a solution.

Answer:

∅ ≈ 48.2º

Step-by-step explanation:

cos∅ = adj/hyp = 10/15 = 2/3

Therefor

∅ = arccos 2/3

use calculator

∅ = 48.189685104221402

∅ ≈ 48.2º

Answer:

decimal: 10010110011

Step-by-step explanation:

Answer:

$0.13 to produce each box.

Step-by-step explanation:

S= ph+2b

p= 12.5+2.5+12.5+2.5=30

h=25

b= 12.5x2.5=31.25

S= (30)(25) +2 (31.25)

S= [tex]812.5cm^{2}[/tex]

812.5 x 0.00016= 0.13

Answer:

1/2

Step-by-step explanation:

You are comparing ponies to sheep, so you put the ponies on top(3)

and the sheep on the bottom(6)

3/6 reduces to 1/2

For this question u have to assume value of either x or y

For example

to find the value of x

side calculation (7000/35 = 200)

let x = 200

then 35(200) +60y = 7000

7000 + 60y = 7000

60y = 7000-7000

so y = 0

so value of x should be greater than or equal to 200

x >(or equal to) 200

to find the value of y

side calculation ( 7000/60 = 116.67)

let y = 116.67

then 35x + 60(116.67) = 7000

35x + 7000 = 7000

35x = 7000-7000

35x=0

so x = 0

so the value of y should be greater than or equal to 116.67

y >( or equal to 116.67)

Answer:

2.91 units

Step-by-step explanation:

If and only if this is a right triangle, we can apply the some fimctopm to determine the length of side BD:

                              side BC

tan 20 degrees = ---------------

                                    8

or side BC = 8 tan 20 degrees.  Since tan 20 degrees = 0.364 radians,

side BC has length 8(0.364) = 2.91 units

Answer: 700

Step-by-step explanation: at the bottom it shows the days and the top it shows how many cookies she ate so if you go up and stop at 7 it will be 700

Answer:

9.42 ft

Step-by-step explanation:

We know the diameter is equal to 1.5 ft.

The equation for circumference is [tex]2[/tex]πr.

Let's insert the numbers we already have.

2(3.14)(1.5)

= 9.42 ft

Answer:

81

Step-by-step explanation:

Find out the percentage of people who had mispriced item.

3/50 = 0.06

6% of people had mispriced items.

Find 6% of 1,350.

81

81 people would have mispriced items.

Answer:

81

Step-by-step explanation:

I did this by doing 1,350 ÷ 50, which gave me 27. I then did 27 times 3, the average amount of people with a mispriced item per 50 people, which gave me 81 as a result. And with that, I can conclude that you would expect there to be 81 people per day who have a mispriced item.

The scale factor of the two rectangles is 1.5

According to Euclidean Plane Geometry, a rectangle is a quadrilateral with equal opposed sides and four right angles. In other words, a rectangle is a parallelogram with a right angle of 90 degrees or an equiangular quadrilateral (i.e., 360°/4 = 90°). A rectangle is referred to as a square if its four sides are all the same length.

The ratio of the matching side lengths of two comparable figures is known as the scale factor. We know that the ratio of the respective side lengths of the two rectangles equals equivalent to r since Rectangle A and Rectangle B are similar to one another by the scale factor r.

We can set up the following ratio to determine the scale factor if the lengths of rectangles A and B are 1.5r+2.25 units and 3 units, respectively.

(1.5r+2.25) / 3 = r

Solving for r, we get:

r = (1.5r + 2.25) / 3

multiply both sides of the equation by 3

3r = 1.5r + 2.25

Subtract 1.5r from both sides

1.5r = 2.25

divide both sides by 1.5

r = 2.25/1.5

r = 1.5

Therefore, the scale factor of the two rectangles is 1.5.

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need pointz

Step-by-step explanation:

y = − 2 is a horizontal line that crosses the -axis at -2.

Now, According to the question:

Let's know:

What is Horizontal lines?

If we are given the equation of y equal to a number, our graph will be a horizontal line. Is this equation a function? The answer would be yes since it passes the vertical line test. The vertical line test tells us if we draw a vertical line through any point of the graph and it goes through only one point at each line, then it is a function. If it passes through more than one point, it does not. The slope of a horizontal line is zero.

The given equation is Y = -2

y = 2 is a horizontal line that crosses the -axis at 2.

=>  y = − 2 is a horizontal line that crosses the -axis at -2.

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Answer:

15:18.75:26.25

Step-by-step explanation:

4:5:7

Total=16

60/16 = 3.75

4 x 3.75 = 15

5 x 3.75 = 18.75

7 x 3.75 = 26.25

15:18.75:26.25

Answer: $15 : $18.75 : $26.25

Step-by-step explanation:

4 + 5 + 7 = 16

4/16 × $60 = $15

5/16 × $60 = $18.75

7/16 × $60 = $26.25

Answer:

answer is just a-5

Step-by-step explanation:

its is a-5 without absolute value

Answer:

Step-by-step explanation:

The average age of 18 girls is 12.

Total age of girls:

The average age of 15 boys is 17

Total age of boys:

Total age of children:

Total number of children:

Average age of children:

Answer:

x=0, -20/3.

Step-by-step explanation:

abs(3x+10)=10

3x+10=10, 3x+10=-10

3x=10-10, 3x=0, x=0/3, x=0,

3x=-10-10, 3x=-20, x=-20/3

Answer:

y = -1/2x - 11/2

Step-by-step explanation:

y2 - y1 / x2 - x1

-4 - (-5) / -3 - (-1)

1/ -2

= -1/2

y = -1/2x + b

-5 = -1/2(-1) + b

-5 = 1/2 + b

-11/2 = b

There is no sufficient evidence at the 0.05 level to substantiate the publisher's claim

Note that the significance level, also known as alpha or α, is a measure of the strength of the evidence that must be present in your sample before you will reject the null hypothesis and conclude that the effect is statistically significant

In conclusion, the advertiser failed to reject the null hypotenuse so this would mean there is not sufficient evidence at the 0.02 level of significance to say that the percentage of people who own a Rolls Royce is higher than 47%

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Answer:y=1x-7

Step-by-step explanation:

A traditional yearbook should have a few pages for the school's administrators, faculty, and other staff members, class or student portraits, several pages for clubs, teams, or other group photos, a section for special awards & superlatives, event pages typically with a collage of school events, and graduating class.

Despite possible differences in size and appearance, school yearbooks all have a similar structure and content makeup. A school yearbook is essentially a "memory book" that emphasizes the pupils, teachers, and activities that took place during the academic year.

Additionally, yearbooks give kids the chance to request the autographs of their friends and professors and give them a place to write personal notes, "inside jokes," and other remarks. Overall, a yearbook gives students a tangible memento of the academic year.

The only thing we are doing is dividing if we require that all of the rows be equal.

20/1= 20

20/2= 10

20/4=5

20/5=4

20/10=2

20/20=1.

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Pam's piece rate is $16.67 for every pot she produces.

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

Pam's piece rate is the amount of money she earns for each pot she makes. In this case, she earned $250 for making 15 pots, so her piece rate is:

$250 ÷ 15 pots = $16.67 per pot

Therefore, Pam earns $16.67 for each pot she makes. This is a way of calculating her pay based on the number of units she produces, rather than by the hour.

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the smallest angle will yield the shortest opposite side, likewise the largest angle will yield the largest side, Check the picture below.