2. An account is opened with $28000 earning12% interest compounded yearly. What is thebalance in the account after 4 years?

Answer:

h=11x3

Step-by-step explanation:

trust me, I have done this problem already

The expression to represent the change in elevation would be 13 - 150.

The change in elevation would be - 137 feet.

The change in elevation refers to the difference between the elevation that a person ends up in, from the elevation that they started out at.

The change in elevation for the goat would therefore be:

= Ending elevation - Starting elevation

= 13 - 150

= - 137 feet

In conclusion, the change in elevation of the goat in its travels was - 137 feet.

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Age and you can also use weight too

you can easily group people by their age and weight but not by eye color

example

age people

5 - 10 14

10 - 15 5

the table above shows that we have 14 people within the range of 5 to 10 years

and likewise the weight of the people can serve the same purpose

The other expression for this scenario is 5.25 + 5.25 + 5.25 + 5.25

From the question, we have the following parameters that can be used in our computation:

Cost of cotton candy = $5.25

Number of friends = 4

So, the expression is given as

Expression = 5.25(4)

Express 4 as 1 + 1 + 1 + 1

So, we have the following representation

Expression = 5.25(1 + 1 + 1 + 1)

Open the bracket

Expression = 5.25 + 5.25 + 5.25 + 5.25

Hence, the other expression is 5.25 + 5.25 + 5.25 + 5.25

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The function describes the motorboat's distance from the shore

y = -4x+50

Given,

In the question:

A motorboat moves across a lake as a constant speed. when it begins, it is 50 km from the shore

After 9 minutes, it is 14 km from the shore.

So, The rate of change =

                 =   [tex]\frac{Final Distance - initial distance}{time} \\\\\frac{14-50}{9} = -4[/tex]

Negative sign shows that there is decrease in distance per minute

The rate of change of distance is 4 km / minutes

General equation : y = mx+ c

Where m is the slope and c is the constant

Substitute the values in the equation :

y= -4x +50

Where y is the final distance and x is the minutes

So, Option C is true

Hence, The function describes the motorboat's distance from the shore

y = -4x + 50.

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You have the following function:

f(b) = 3b ÷ 45/60

Consider Emma put way 3 carts of books in 45 minuntes.

The factor 45/60 means the conversion to hours of the number of books Emma put way. 45 minutes in hours is the same as 45/60.

the factor 3b means that Emma put way 3 carts of books, and the division stablish the rate of time in one hour. This means b is the number of book on one cart.

Hence, the following statement is a correct interpretation of the function f(b):

b) the variable b represents the number of book on one cart.

SOLUTION

We use sin

This is because the opposite and the adjacent sides are where we have known and unknown values

You can use the code SOH/ CAH / TOA to make the right choice of trigonometric ratio to use

Answers:

We see that ∠2 and ∠3 are corresponding angles

And since the lines u and v are parallel, ∠2 and ∠3 are congruent.

So, m∠3 = 150

We see that ∠1 and ∠2 are vertically opposite angles

Thus, ∠1 and ∠2 are congruent

So, m∠1 = 150

The relationship between ∠1 and ∠3 is an example of the following rule

When parallel lines are cut by a transversal, alternate interior angles are congruent.

Explanation:

The angles formed by two parallel lines and a transversal that are on the same side of the transversal and in the same position from the parallel lines are called corresponding angles. These angles have the same measure so they are also congruent.

So, we can fill the first part as:

We see that ∠2 and ∠3 are corresponding angles

And since the lines u and v are parallel, ∠2 and ∠3 are congruent.

So, m∠3 = 150

On the other hand, two opposite angles formed by two lines that cross are called vertically opposite. So, these angles have the same measure.

So, we can fill the second part as:

We see that ∠1 and ∠2 are vertically opposite angles

Thus, ∠1 and ∠2 are congruent

So, m∠1 = 150

Finally, we can fill the third part as:

The relationship between ∠1 and ∠3 is an example of the following rule

When parallel lines are cut by a transversal, alternate interior angles are congruent.

Because alternate interior angles are the angles that are inside the parallel line and on opposite sides of the transversal.

Answer:

x = 10

Step-by-step explanation:

2(2x-14) = x+2

4x - 28 = x + 2

3x = 30

x = 10

On solving the equation [tex]v=u+at[/tex] for t the result will be [tex]t=\frac{v-u}{a}[/tex].

How to solve any mathematical equation?

1. Open all brackets by applying the distibutive property.

2. Add the same number on the both sides.

3. Subtract the same number on the both sides.

4. Multiply with the same number on the both sides.

5. Divide with the same number on the both sides.

Consider the equqtion.

[tex]v=u+at[/tex]

Subtact [tex]u[/tex] from both the sides.

[tex]v-u=u+at-u\\v-u=at[/tex]

Now, divide both the sides by [tex]a[/tex].

[tex](v-u)/a=at/a\\(v-u)/a=t\\t=(v-u)/a[/tex]

Hence, on solving the equation [tex]v=u+at[/tex] for t the result will be [tex]t=\frac{v-u}{a}[/tex].

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The number of ways the customer can select 4 appetizers , 4 main course and 4 desserts for a banquet is 220500 ways .

In the question,

it is given that ,

number of appetizers that catering service can offer = 6

number of main courses that catering service can offer = 8

number of desserts that catering service can offer = 4 ,

The number of ways 4 appetizers can be selected out of 6 = ⁶C₄

number of ways 4 main courses can be selected out of 8 = ⁸C₄

number of ways 4 desserts can be selected out of 10 = ¹⁰C₄

So , total number of ways = ⁶C₄ × ⁸C₄ × ¹⁰C₄

= 15 × 70 × 210

= 1050 × 210

= 220500 ways

Therefore , The number of ways the customer can select 4 appetizers , 4 main course and 4 desserts for a banquet is 220500 ways .

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Statement. (Reasons are in boldfaced words)

1. H is the midpoint of AD. By given.

2. AD bisects GC. By given.

3. HA = HD. By definition of midpoint.

4. GH = CH. By definition of the bisector.

5. Angles AHG and DHC are congruent. By vertical angles theorem.

6. AG = DC. They are the height of the figure.

7. Triangles GHA and CHD are congruent. By Side-Angle-Side postulate of congruence.

Answer:

length = 12 miles

width = 6 miles

Step-by-step explanation:

        length = x miles

       width = (x - 6) miles

  Area of rectangle = 72 square miles

         length * width = 72

           x * (x - 6)        = 72

          x*x - 6*x          = 72

             x² - 6x - 72 = 0

Sum = -6

Product = -72

Factors = 6 , (-12)         { 6 + (-12) = -6 and 6*(-12) =-72 }

Rewrite the middle term using the factors.

x² + 6x - 12x - 72 = 0

x(x + 6) -12(x + 6) =0

(x + 6)(x - 12) = 0

    {x + 6 = 0 is rejected as length will not have negative value}

x - 12 = 0

     [tex]\sf \boxed{\bf x = 12 \ miles}[/tex]

length = 12 miles

Width = 12 - 6 = 6 miles

divyaraval92, this is the solution:

False

x could be either 6 or -6

According to the diagram, we can conclude:

Answer:

24:14

Step-by-step explanation:

Given the function:

To graph the given function, first, we will graph the parent function [ cot x]

the function [cot x] has a period of π and has an x-intercept at x = π/2

then we will make a shift to the left side by (π/6)

the graph of the function will be as shown in the following picture:

As shown, the red dot graph is the function [cot x]

and the blue graph is the given function f(x)

Solution

We have

square will cancel out the square root

Option A

Answer:

D. trapezoids

Answer: I genuinely believe the answer is c

Solution

Total cards in a deck = 52

Total Queens = 4

Total King = 4

Total Ace = 4

P(Queen, King, or Ace). =

The answer is 3/13

If ED is the midsegment of triangle ABC, then that means that the points E and D are the midpoints of segments AC and AB since the midsegment is found by joining the midpoints of a triangle. Since E and D are midpoints then:

Also, by the midsegments theorem we have:

Also, since segments ED and BC are parallel, that means that:

What is the approximate area of this figure

Step 1

divide the figure in

Answer:

it has none

Step-by-step explanation:

Answer:

6√-729 is : 4.88147452844536

Given the equation system:

You can find the solution to this equation system using the subtitution method.

Since the first expression is written in terms of y, you can replace it into the second expression and calculate for x

-Distribute the multiplication on the parentheses term:

-Simplify the x-terms, by solving the operation between them

-Pass 21 to the right side of the equation by applying the opposite operation to both sides of the equal sign

-Finally, divide both sides of the equation by 34 to determine the value of x

Now that we have determined the value of x, we can replace it into the first equation to calculate the value of y:

This system has one solution at the point

The volume of a sphere is (4/3)(Pi)(r^3)

If the ball has a diameter of 27 cm, the radius would be 27/2 = 13.5 cm

Unsing the formula:

V = (4/3)(3.1416)(13.5)^3 = (4/3)(3.1416)(2460.375) = 10306.0188

Answer: Volume is 10,306.0188 cm^3

-6 = 3x - 6y

4x = 4 + 5y

ok

x = (4 + 5y)/4

Substitution

-6 = 3[(4 + 5y)/4] - 6y

-6 = [12 + 15y]/4 - 6y

-6 + 6y = [12 + 15y]/4

-24 + 24y = 12 + 15y

24y - 15y = 12 + 24

9y = 36

y = 36/9

y = 4

x = (4 + 5(4))/4

x = [4 + 20)/4

x = 24/4

x = 6

Solution x = 6, y = 4

Answer: TRUE

Step-by-step explanation:

12g+21 equals to 3(4g+7) because you have to multiply 3 and 4g which will equal 12g and then multiply 3 and 7 which will equal 21.

So your final answer would be 12g+21 equals to 12g+21.

Hope it helps!!

Answer:

3.88

Step-by-step explanation:

Find the number in the hundredth place (7) and look one place to the right for the rounding digit 5. Round up if this number is greater than or equal to 5 and round down if it is less than 5.

Answer: 8.953333333.

Step-by-step explanation: All I know is that a negative divided (or times) a negative is always a positive.