You have money in an account at 6% interest, compounded monthly. To the nearest year, how long
will it take for your money to double.

Answer:

381623 ft

Step-by-step explanation:

Since the airport altitude is 20000 ft and the pilot needs a 2° descent, to calculate the distance of the airplane at the start of this approach, first this is represented in the diagram attached. The distance from the runway at the start is x.

[tex]tan(3) = \frac{20000}{x} \\x=\frac{20000}{tan(3)} \\x=381623ft[/tex]

The airplane is at a distance of 381623 ft away from the airplane runaway at the start of the descent.

Answer:

36

Step-by-step explanation:

Answer: 47,520

Step-by-step explanation: 36 times 40 times 33

Answer:

Step-by-step explanation:

i don’t know the rest but i know b is 144

Answer:

B) 144 seats would be full

   Work: 72% x 200 = 144

C) the cost would be $5.4

   Work: 4.5 × 20 / 100 = 0.9

               4.5 + 0.9 = 5.4

D) 24% of the 25 different candies

  Work: 6/25 = 0.24

             Move the decimal point 2 places to the right and add

              the percent sign %.

              0.24 becomes 24%

hope this helps

Answer:

slope = -7/2x

Step-by-step explanation:

you can solve the equation in order to make it slope-intercept form.

7x + 2y = 5

2y = -7x + 5

divide everything by 2

it becomes y = -7/2x + 5/2

The required slope of the line is m = -7 / 2.

A line can be defined by the shortest distance between two points is called a line.

Method 1

7x + 2y = 5
Rearranging the equation in the standard form of the equation of a line
y = mx + c
where m is the slope of the line and c is the intercept of the line.
7x + 2y = 5
2y = -7x + 5
y = -7x/2 + 5  - - - - - -(1)
Comparing equation 1 with the standard form of the equation
m = -7/2 and c = 5

Method 2
Differentiate the given equation, with respect to x
d/dx (7x + 2 y) = d/dx (5)
7 + 2dy/dx = 0
dy/dx = -7/2
Slope = dy/dx = -7/2

Thus, the required slope of the equation is m = -7/2

Learn more about lines here:

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Answer: 4.9

Step-by-step explanation:

Answer:

I think the correct answer is 27 so option c. :)

Answer:

15

Step-by-step explanation:

102-(29 x 3)

Answer:

p=15

Step-byexplanation:

3t+p/102

3(29)+p=102

87+p=102

p=15

Answer:

the answer is B

Step-by-step explanation:

hope it help

Answer:

Look at the attachment

This question is incomplete and it lacks the attached diagram of the square based pyramid. Find attached to this answer, the square based pyramid.

Correct Question

A concrete planter is formed from a square-based pyramid that was inverted and placed inside a cube.

A. What is the slant height of the pyramid?

B. What is the surface area of the composite figure?

HINT: The surface area consists of lateral faces of the inside of the inverted pyramid and the remaining 5 faces of the cube.

C. How many cubic yards of concrete are needed to make the planter?

Answer:

A. The slant height of the pyramid = 2.24 yards.

B. The surface area of the composite figure = 12.94 square yards.

C. The cubic yards of concrete are needed to make the planter = 2.67 cubic yards.

Step-by-step explanation:

A. What is the slant height of the pyramid?

To calculate the Slant height of a pyramid we make use of the Pythagoras Theorem which is given as:

a² + b² = c²

Where a = Height of the square pyramid represent by h

b = radius of the square pyramid represented by r

c = Slant height of the square pyramid represented by s

Therefore, we have

h² + r² = s²

Looking at the attached diagram, we are given the side length = 2 yards.

The radius of the square based pyramid = side length ÷ 2

= 2÷ 2 = 1 yard.

The height of a square based pyramid = 2 yards

Since , h² + r² = s²

The slant height of the square pyramid is calculated as :

√h² + r² = s

√(2² + 1²) = s

√5 = s

s = 2.24 yards

B. What is the surface area of the composite figure?

We were given hints in the question that the the surface area consists of lateral faces of the inside of the inverted pyramid and the remaining 5 faces of the cube.

Step 1

We find the Lateral area of the faces of the insides of the inverted pyramid

We have 4 faces, Hence,

The formula is given as

a × √( a² + 4h²

a = 2 yards

h = 2 yards

So, = 2 × √( 2² + 4 ×2²

The Lateral area of the faces = 8.94 square yards.

Step 2

Area of the 5 faces of the cube

= a²

Where a = side length = 2 yards

= 2²

= 4 square yards.

Step 3

Therefore, surface area of the composite figure = 8.94 square yards + 4 square yards

= 12.94 square yards.

C. How many cubic yards of concrete are needed to make the planter?

This is calculated by find the Volume of the Square based pyramid.

The formula is given as :

V = (1/3)a²h

Where a = side length = 2 yards

h = height of the square based pyramid = 2 yards

V = 1/3 × 2² × 2

V = 2.67 cubic yards

Answer:

3/8, 2/5, 1/3

Step-by-step explanation:

From smallest to largest is 3/8 2/5 1/3

Answer:

X=6 y=3 point form (6,3)

Step-by-step explanation:

Answer:

6,3

Step-by-step explanation:

I just took the test and got 100%

Answer:

-3 is greater than or equal to s

Step-by-step explanation:

subtract 3 on both sides

then get s by itself by dividing by -4 on both sides (bc you are dividing by a negative the sign flips)

Average speed = 2.5 miles

Divide 6 from both sides.

6/6 = 1

15/6 = 2.5

So, overall Mark walks 2.5 miles per hour.

hope it helps!

Answer:

$6.75

Step-by-step explanation:

$31.25 = C + 4B C for box of candy and B for large bags of popcorn

$46.50 = 3C + 5B

3($31.25 = C + 4B)

$93.75 = 3C + 12B

-46.50. -3C. -5B

$47.25 = 7B

÷7. ÷7

$6.75. = B

Answer:

-3/4

Step-by-step explanation:

Point A is at (-4,3) and Point B is at (4,-3)

The slope is at

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

   = (-3 -3)/(4 - -4)

   = (-3-3)/(4+4)

    = -6/8

     = -3/4

Answer:

She would need 144 square feet of carpet.

Step-by-step explanation:

Since the pen is 12 feet by 12 feet you would multiply 12 by 12 for your answer of 144 square feet.

Answer:

Richard gets 15 more sweets than Natasha.

Step-by-step explanation:

Given that the ratio of Sarah's sweets is 5 and she has 75 sweets. So firstly, you have to find out how many sweets in a ratio of 1 :

Let ratio be units,

[tex]5 units = 75 sweets[/tex]

[tex]1 unit = 75 \div 5[/tex]

[tex]1 unit = 15 sweets[/tex]

Now we have to find how many sweets does Natasha and Richard has :

Richard (ratio of 3),

[tex]3 units = 15 \times 3[/tex]

[tex]3 units = 45 sweets[/tex]

Natasha (ratio of 2),

[tex]2 units = 15 \times 2[/tex]

[tex]2 units = 30 sweets[/tex]

In order to find how many sweets Richard has more than Natasha, you have to substract :

[tex]45 - 30 = 15 sweets[/tex]

Answer:

15

Step-by-step explanation:

the answer is 15

Answer:

a = state capital

b = nature center

c =  museum

d = other

Step-by-step explanation:

Answer:

other person is correct

Step-by-step explanation:

Answer:

Area: T = 0.649

Step-by-step explanation:

Sides: a = 3.5   b = 1.333   c = 2.25

Answer:

They must have lost 19 games.

Step-by-step explanation:

If you plug in 53 into the equation, you get 53 = 3w + 11. You subtract 11 from both sides, resulting in 42 = 3w. You divide 3 from both sides this time, resulting in 14 = w. Since W is the number of wins, and you're trying to figure out games lost, you subtract 14 from the number of games played, so 33-14 is equal to 19.

Answer:

A timeframe of 8 years is when there were 45 raccoons in the area.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Equality Properties

Standard Form:
[tex]\displaystyle ax^2 + bx + c = 0[/tex]

Quadratic Formula:
[tex]\displaystyle x=\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

Step-by-step explanation:

Step 1: Define

Identify given.

[tex]\displaystyle \begin{aligned}y & = 0.4x^2 + 2x + 2 \\y & = 45 \ \text{raccoons} \\\end{aligned}[/tex]

Step 2: Find Specific Year

We are trying to find the year when there were 45 raccoons present in the area. From first glance, we see we probably can't factor the quadratic expression, so let's set up to use the Quadratic Formula:

Now that we have our variables from Standard Form, we can use the Quadratic Formula to find which years when there were 45 raccoons present in the area:

Since time cannot be negative, we can isolate the other root to obtain our final answer:

[tex]\displaystyle\begin{aligned}x & = 8.16536 \ \text{years} \\& \approx \boxed{ 8 \ \text{years} } \\\end{aligned}[/tex]

∴ we have found the approximate amount of years to be 8 years when there were 45 raccoons in the area.

___

Learn more about Algebra I: https://brainly.com/question/16442214

___

Topic: Algebra I

Answer:

Center of the circle is (-9, -7)

Radius of the circle = 5 units

Step-by-step explanation:

Given question is incomplete: here is the complete question.

Certain circle can be represented by the following equation. x^2+y^2+18x+14y+105=0.

What is the center of this circle ?

What is the radius of this circle ?

Since equation of the circle has been given by the equation,

x² + y² + 18x + 14y + 105 = 0

Now we will convert this equation to the standard form of the circle.

x² + 18x + y² + 14y = -105

[x² + 2(9)x] + [y² + 2(7)x] = -105

[x² + 2(9)x + 9²] + [y² + 2(7)y + 7²] = 9² + 7² - 105

(x + 9)² + (y + 7)² = 81 + 49 - 105

(x + 9)² + (y + 7)² = 25

(x + 9)² + (y + 7)² = 5²

By comparing this equation with the standard equation of the circle → (x - h)² + (y - k)² = r²

Center of the circle is (-9, -7) and radius of the circle is 5 units.

Answer:

(-4.8)

7 unit

i just did the test

Step-by-step explanation:

Answer:

(x - 4)² + (y - 5)² = 4

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (4, 5) and r = 2, thus

(x - 4)² + (y - 5)² = 2², that is

(x - 4)² + (y - 5)² = 4 ← second option on list

The required equation represents a circle with the same center as the circle shown but with a radius of 2 units is (x-4)^2  + (y-5)^2 = 4

The standard equation of a circle is expressed as:

(x-a)^2  + (y-b)^2 = r^2

where:

(a, b) is the centre = (4, 5)

r is the radius = 3 units

Substitute to have;

(x-4)^2  + (y-5)^2 = 2^2

(x-4)^2  + (y-5)^2 = 4

Hence the required equation represents a circle with the same center as the circle shown but with a radius of 2 units is (x-4)^2  + (y-5)^2 = 4

Learn more on equation of circle here: https://brainly.com/question/14150470

Answer:

[tex] P(24< X<38)= P(X<38) -P(X<24)= F(38) -F(24)[/tex]

And replacing we got:

[tex] P(24< X<38)=\frac{38-20}{40-20}-\frac{24-20}{40-20}= 0.9-0.2= 0.7[/tex]

Step-by-step explanation:

We can define the random variable X as the thickness of a protective coating applied to a conductor designed to work in corrosive conditions. And the distribution for X is given by:

[tex] X \sim Unif (a = 20, b=40)[/tex]

And we want to find this probability:

[tex] P(24< X<38) [/tex]

And in order to find this probability we can use the cumulative distribution function given by:

[tex] F(x) = \frac{x-a}{b-a} , a\leq X \leq b[/tex]

And if we use this formula for the probability desired we have:

[tex] P(24< X<38)= P(X<38) -P(X<24)= F(38) -F(24)[/tex]

And replacing we got:

[tex] P(24< X<38)=\frac{38-20}{40-20}-\frac{24-20}{40-20}= 0.9-0.2= 0.7[/tex]

Answer:

The (population) standard deviation is 26 miles or [tex] \\ \sigma = 26[/tex] miles.

Step-by-step explanation:

We can solve this question using the concept of z-score or standardized value, which is given by the formula:

[tex] \\ z = \frac{x - \mu}{\sigma}[/tex] [1]

Where

[tex] \\ z[/tex] is the z-score.

[tex] \\ x[/tex] is the raw score.

[tex] \\ \mu[/tex] is the population's mean.

[tex] \\ \sigma[/tex] is the population standard deviation.

Analyzing the question, we have the following data to solve this question:

Therefore, using all this information, we can determine the (population) standard deviation using formula [1].

Then, substituting each value in this formula:

[tex] \\ z = \frac{x - \mu}{\sigma}[/tex]

Solving it for [tex] \\ \sigma[/tex]

Multiplying each side of the formula by [tex] \\ \sigma[/tex]

[tex] \\ \sigma*z = (x - \mu) * \frac{\sigma}{\sigma}[/tex]

[tex] \\ \sigma*z = (x - \mu) * 1[/tex]

[tex] \\ \sigma*z = x - \mu[/tex]

Multiplying each side of the formula by [tex] \\ \frac{1}{z}[/tex]

[tex] \\ \frac{1}{z}*\sigma*z = \frac{1}{z}*(x - \mu)[/tex]

[tex] \\ \frac{z}{z}*\sigma = \frac{x - \mu}{z}[/tex]

[tex] \\ 1*\sigma = \frac{x - \mu}{z}[/tex]

[tex] \\ \sigma = \frac{x - \mu}{z}[/tex]

Then, this formula, solved for [tex] \\ \sigma[/tex], will permit us to find the value for the population standard deviation asked in the question.

[tex] \\ \sigma = \frac{431.8 - 450}{-0.7}[/tex]

[tex] \\ \sigma = \frac{-18.2}{-0.7}[/tex]

[tex] \\ \sigma = 26[/tex]

Thus, the (population) standard deviation is 26 miles or [tex] \\ \sigma = 26[/tex] miles.

Answer:

x + 18 ≥ 26

Step-by-step explanation:

"greater than or equals": ≥

x + 18 ≥ 26 is your answer.

If you are trying to solve it so you isolate x, subtract 18 from both sides:

x + 18 (-18) ≥ 26 (-18)

x ≥ 26 - 18

x ≥ 8

x ≥ 8 is your answer.

~

Answer:

x+18 ≥ 26

Step-by-step explanation:

≤ is the less than or equals sign

≥ is the greater than or equals sign

x+18 ≥ 26

(This also means x must be ≥ 8)

Answer & Step-by-step explanation:

If each fruit tree produces an average of 590 pounds of fruit, then that means we are going to multiply. For the apples, we are going to multiply 120 by 590. For the pears, we are going to multiply 90 by 590. After we multiply these numbers, we are going to add the products so we can find the total amount of pounds of fruit.

Apples:

120 × 590 = 70800

Pears:

90 × 590 = 53100

Now, we add 70800 to 53100.

70800 + 53100 = 123900

So, the orchard produces 123900 pounds of fruit in one year.

Answer:

1/3

Step-by-step explanation:

There are 6 possible outcomes when you roll this die: 1,2,3,4,5 and 6. Of these, only 5 and 6 are greater than 4, which is 2 successful outcomes. Probability is successful outcomes/total outcomes = 2/6 = 1/3. Hope this helps!