The measures of the angles of a triangle are shown in the figure below. Solve
for x.
62⁰
82⁰
(x+12)

The interest will earn is 3216

Interest Earned = Amount * Rate of Interest * Time

Interest Earned = 6700*6%*8 = [tex]6700*\frac{6}{100}*8[/tex]

Interest Earned = 3216

Interest Calculator

The term "interest" refers to the additional revenue received by the investor over and above the investment or the additional debt owed by the borrower over and above the amount borrowed. Simple interest and compound interest are the two different kinds of interest. The sorts of interests are covered in further detail in the interest formula. Let's explore the interest formula in further detail and go through several cases.

Interest Formula: What is it?

Simple interest and compound interest are both included in the interest formula. Interest is the cost a borrower pays a lender for a loan. This additional sum, or the interest, must be paid in addition to the loan itself. The Simple Interest Formula and the Compound Interest Formula are both discussed in the interest formula Compound Interest Formula. The interest formula for both is

Simple Interest = P × R × T

Compound Interest = [tex]P(1 + r/n)^{nt}- P[/tex]

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The amount borrowed at 13% interest is  $20,945.95.

The amount borrowed at 50% interest is $4,054.05.

The first step is to formulate a system of equations:

a + b = $25,000 equation 1

0.13a + 0.5b = (36,000 - 25,000

0.13a + 0.5b =11,000 equation 2

Where:

a = amount borrowed at 13% interest

b = amount borrowed at 50% interest

Take the following steps to determine the value of b:

Multiply equation 1 by 0.13

0.13a + 0.13b = 3,250 equation 3

Subtract equation 3 from equation 2

7,750 = 0.37b

b = $20,945.95

a = $25,000 - $20,945.95 = $4,054.05

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The probability that one friend is pregnant with identical twins, and one friend is pregnant with fraternal twins is 0.000045.

From the information illustrated,

Let A = event that one friend is pregnant with identical twins, and note that P(A)=0.0045.

Let B = event that the other friend is pregnant with fraternal twins, and note that P(B)=0.01.

Therefore, the probability will be gotten by using the multiplication for two independent events. This will be:

= P(A) × P(B)

= 0.0045 × 0.01

= 0.000045

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Answer:

-3

Step-by-step explanation:

question is asking, which is larger. -3 is larger than -4

Answer: He can only go 2 days

Step-by-step explanation:

Starting with the inequality:

We have two cases:

Case 1: 4x-6≥0

Since 4x-6≥0, then |4x-6| = 4x-6. Then:

Case 2: 4x-6<0

Since 4x-6<0, then |4x-6| = -4x+6. Then:

The solution set of the inequality is all the numbers x which are greater or equal to 1/2 AND lower or equal to 5/2:

The graph of the solution is a number line from 1/2 to 5/2 including the endpoints:

The interval notation of the solution, is:

The solution set S is:

Answer:A returned check

Step-by-step explanation:

Answer: D. bouncing a check

Bouncing a check

When a check is deposited in a bank, or when it is written out to a store teller to ultimately deposit in the store bank, the funds are tracing back from an origin bank account. When the check bounces a fee is then charges by both the bank out of which the check is written (for non-sufficient funds) and by the payee. If the payee is a store they will often charge fees that are charged back to them by their bank of deposit."

Sample space={ A,B,C,D,E,F}

Event of choosing A or C = {A,C}

What is sample space?

A sample space is a set which contains the set of all the possible outcomes or results that could occur while performing an experiment.

i.e. the sample space while flipping a coin is: {H,T}

The sample space while tossing a six-sided die is: {1,2,3,4,5,6}

Here it is given that:

A bag has six balls labeled: A,B,C,D,E,F

One ball will be randomly picked, and its letter will be recorded as the outcome.

This means that the sample space is given by:

Sample space={ A,B,C,D,E,F}

Now, when the event is choosing a letter from A or  C.

Then the sample space is:

Sample space= {A,C}

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Answer:

x = 11

Step-by-step explanation:

divide both sides by 7

x = 11

Answer:

The fair price of the game is $54.75

The player is expected to win $54.75

Explanation:

Here, we want to get the fair prize of the game

From the question, there are 4 prizes

When reaching into the box, we can only pick 1

Assuming that each of the prizes have the same probability oof being picked, the probability of picking any of the prize is 1/4

Now, to get the fair price of the game (it is obviously positive as we do not know if the player has anything to lose)

We have to multiply the probability by each of the price tag, then sum

Mathematically,we have this as:

Solution:

The slope-intercept form of a line with slope m and y-intercept b is given by the following formula:

On the other hand, the slope m is given by the following equation:

where (X1,Y1) and (X2,Y2) are points on the line. In this case, we can take the points:

(X1,Y1) = (1,2)

(X2,Y2) = (-1,-1)

replacing this data into the slope equation, we get:

thus, the slope of the line would be:

now, replacing this into the slope-intercept form of the line we get:

EQUATION 1

We only need to find the y-intercept b. For that, take any point on the line, for example (x,y) = (1,2), and replace it into the previous equation:

this is equivalent to:

solving for b, we get:

that is:

finally, replacing this into the EQUATION 1, we get:

then, the slope-intercept form of a line with the points (1,2) and (-1,-1) would be:

Answer: true

Step-by-step explanation:

leads to a monopoly

Answer:

Explanation:

In

The correct explanations are;

2. Given

3. By definition of complementary angles.

5. ∠1 + ∠3 = 90°

6. By definition of complementary angles.

What are complementary angles?

Sum of two or more are angles are 90 degree then, angles are called Complementary angles.

Given that;

∠1 and ∠2 are complementary angles.

And, ∠2 ≅ ∠3

Now,

  Statements                                         Reasons

1. ∠1 is a complementary of ∠2.             1.  Given

2. ∠2 ≅ ∠3                                            2.  Given

3. m ∠1 + m ∠2 = 90°                             3.  By definition of                                          

                                                                complementary angles.

4. m ∠2 = m ∠3                                      4.  Definition of congruency.

5. m ∠1 + m ∠3 = 90°                            5.   Substitution property.

6. ∠1 is a complementary of ∠3.             6.  By definition of                                          

                                                                complementary angles.

Thus, The correct explanations are;

2. Given

3. By definition of complementary angles.

5. ∠1 + ∠3 = 90°

6. By definition of complementary angles.

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(3, - 2)

1) As the rule of the function has been given to us. Let's find out which point fits in the Solution for:

y=-x/3 -1

As we can see, the y-intercept is b=-1

3) So, (3, - 2) is the solution. Since (3, -2) belongs to the blue line

Checking algebraically

y=-x/3 -1

-2= -3/3 -1

-2 = -2 TRUE!

-

=

Answer:

B

Step-by-step explanation:

Musicologists generally define the Classical period of music as ranging from 1730 to 1820. Classical era music followed the late Baroque period of music.

Solution

For this case we can create the following proportional rule:

For this case x = original price

Then solving for x we have:

Then the original price is 33.33$

By using implicit differentiation, we get dy/dx=(2x+cos⁡(xy)y)/(-xcos(xy)+2y)

What is implicit differentiation?

Implicit differentiation is the process to finding the derivative of the implicit function.

We have given,

y^2=x^2+sin⁡(xy)

Differentiate with respect to x, and using product rule

2y dy/dx=d/dx(x^2+sin⁡(xy))

2y dy/dx=(dx^2)/dx+(dsin(xy))/dx

2y dy/dx=2x+cos⁡(xy)(d(xy))/dx

2y dy/dx=2x+cos⁡(xy)[y+x dy/dx]

2y dy/dx=2x+ycos(xy)+xcos⁡(xy)dy/dx

2y dy/dx-xcos(xy)  dy/dx=2x+ycos(xy)

On simplification, we get

dy/dx=(2x+xcos(xy))/(-xcos(xy)+2y)

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{3}{8}\ of\ \dfrac{4}{5}}[/tex]

[tex]\mathsf{= \dfrac{3}{8}\times \dfrac{4}{5}}[/tex]

[tex]\mathsf{= \dfrac{3\times4}{8\times5}}[/tex]

[tex]\mathsf{= \dfrac{12}{40}}[/tex]

[tex]\mathsf{= \dfrac{12\div4}{40\div4}}[/tex]

[tex]\mathsf{= \dfrac{3}{10}}[/tex]

[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{\dfrac{3}{10}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Each response includes a thorough explanation of how it was arrived at. The student seemed to have been unsure of which approach to utilize so they hedged their chances by trying both in the hopes that one of them would work. (I don't think it was rewriting that they forgot to cross out; the student presented their response as "it is either X or Y," then in subsequent questions supplied parallel replies depending on whether X or Y was accurate.)

How can I give this question a grade?

Full points given that they provided the correct response

partial marks for being "half-right"?

Or perhaps they didn't get any points since they didn't fully comprehend the issue?

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Given data:

The given expression is -x^2-9x-9=0.

The descriminant of the given equation is,

Thus, the descriminant of the given equation is 45.

The zeros and their multiplicities are:

-2 with multiplicity 3

0 with multiplicity 1

2 with multiplicity 1

The polynomial function is therefore given as:

Therefore, the polynomial function of degree 5 is:

The domain and the range of the function f(x) = 1/4x - 2 is the all set of real values

The domain of the function is the set of input values of the graph

The range of a function is the set of output values of the graph.

This in other words mean the range of a function is the set of y values of the graph.

The function is given as

f(x) = 1/4x - 2

Next, we plot the graph of the function (see attachment)

From the graph, we can see that the graph is a linear graph

This means that the function has a domain and a range of all set of real values

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The remaining work can be completed in if 2 printing machines of a printing house can complete the printing work in 20 days, After printing the books for 8 days, if 1 more machine was added, is 8 days.

In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.

Given:

2 printing machines of a printing house can complete the printing work in 20 days,

After printing the books for 8 days, if 1 more machine was added,

Assume the total work is x,

Calculate the amount of work done in 8 days by both machines as shown below,

The amount of work done in 8 days = x / 20 × 8

The amount of work done in 8 days = 2x / 5

Calculate the remaining work = x - 2x / 5

The remaining work = 3x / 5

Calculate the time taken to complete the remaining work,

Time = (3x / 5) / (3x / 40) = 8 days

Thus, the total time is 16 days.

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From the given image, we have that:

1. The distance from A to B is of 6 units.

2. The lengths are given as follows:

3. The length of segment AD is of 5 units.

When two points have one equal coordinate, as is the case in this problem for AB, CD and BC, the distance is given by the subtraction of the different coordinate.

Hence, considering the coordinates of the vertices on the given image, the distances are given as follows:

The perimeter of a polygon is the sum of the lengths of all the outer sides of the polygon, hence:

P = AB + CD + BC + AD.

The perimeter in this problem is of 18 units, hence the length of AD is given as follows:

18 = 6 + 3 + 4 + AB

13 + AB = 18

AB = 5 units.

The figure is missing and is given by the image at the end of the answer.

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Answer:

Rose.

Step-by-step explanation:

Because the number is positive, it does not symbolize a withdrawal, it shows. deposit.

I hope this helps!

P.S, Brainliest if correct, thanks!

The amount that Lou spent in gas is $20.52.

Lou's car had 5.7 gallons in the 14 gallon tank on the coldest day of the year and he filled the tank with gas that cost $3.60 per gallon.

The cost for the amount spent in gas will be:

= Gallons filled × Cost per gallon

= 5.7 × $3.60

= $20.52

The amount is $20.52.

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Answer:

(6,0)

(-2,0)

2,-3

-3,-2

7,7

Step-by-step explanation:

The fixed $30 unlimited calls charge for Plan 1 and the initial charge as well as a charge per call of $0.03 calls in Plan 2 gives;

a. The inequality that indicates the number of calls for which Plan 1 is more economical than Plan 2 is presented as follows;

30 > 15 + 0.03•x

Which gives;

x > 500

b. The meaning of the inequality, in part a. is that Plan 1 is more economical than Plan 2 when more than 500 calls are made

An inequality makes a comparison between two values that are not equal.

The given parameters are;

The billing plan for Plan 1 is presented as follows;

Charges, C = $30

The charges of the billing plan for Plan 2 is presented as follows;

Where;

x = The number of calls made per month

a. The inequality that can be used to find the number of monthly calls for which Plan 1 is more economical than Plan 2 is found as follows;

At the start of registration for each plan, we have;

Cost of Plan 1 = $30

Cost of Plan 2 = $15 + $0.03 × 0 = $15

Therefore, Plan 2 is initially more economical than Plan 1

At the point (or number of calls) at which the expenses for both plans are the same, we have;

30 = 15 + 0.03 × x

Which gives;

From the above equation, we have that after 500 calls, the expenses of both plans will be the same

The inequality that gives the number of calls for which Plan 1 is more economical than Plan 2 is therefore;

30 > 15 + 0.03•x

Which gives;

b. The meaning of the inequality, x > 500 is that Plan 1 is becomes more economical than Plan 2 when a person makes more than 500 calls in a month

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