Aaron took out a 30-year mortgage for $100,000 at 7%. How much will he pay over one year? (Hint: multiply the monthly mortgage payment by 12.)

Answer:

write the whole number and mixed number as improper fractions i believe

Answer:

Convert the mixed numbers into improper fractions.

Answer:

2

Step-by-step explanation:

Any multiple of 5 ends in 0 or 5.

To find the remainder when a number is divided by 5, we can find the highest number less than or equal to the given number that ends in 0 or 5, then subtract that number from the given number.

In this case, the highest number that ends in a 0 or 5 that is less than or equal to the given number is 285.

When we subtract that from the given number, 287, we get:

287 - 285 = 2

Using the Venn diagram, each set and the number of elements in each set are:

a. U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12}

b. A = {1, 3, 4, 5, 6, 8}

c. B = {4, 5, 6, 7, 9, 11}

d. C = {6, 8, 9, 12}

e. A ∪ B = {1, 3, 4, 5, 6, 7, 8, 9, 11}

f. A ∩ B = {4, 5, 6}

A Venn diagram is a pictorial representation used to visualize the relationships between different sets of objects or concepts.

a.) U is the universal set. This implies it contains all the elements in the set. Thus:

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12}

b.) A is all element (number) is set A (circle A). Thus:

A = {1, 3, 4, 5, 6, 8}

c.) B is all element is set B (circle B). Thus:

B = {4, 5, 6, 7, 9, 11}

d.) C is all element is set C (circle C). Thus:

C = {6, 8, 9, 12}

e.) A ∪ B is all element is sets A and B (circles A and B). Thus:

A ∪ B = {1, 3, 4, 5, 6, 7, 8, 9, 11}

f.) A ∩ B is all element is sets A and B (circles A and B) have in common. Thus:

A ∩ B = {4, 5, 6}

Learn more about sets on:

brainly.com/question/21850160

#SPJ1

Answer:

CD = 15

Step-by-step explanation:

We are given two quadrilaterals: CDEF and GIJH.

We know that CD = 3x - 6, and GI = x + 8.

We want to find the length of CD.

Notice how CD and GI both have one tick mark on them.
This indicates that these two are congruent, meaning that they have the same length.

Because of that, CD = GI.

If we substitute 3x - 6 for CD and x + 8 for GI, we get:

3x - 6 = x + 8

Now, we can solve this like a regular equation.

Add 6 to both sides.

3x - 6 = x + 8

    +6       +6

_________________

3x = x + 14

Subtract x from both sides.

3x = x + 14

-x    -x

_____________-

2x = 14

Divide both sides by 2.

2x = 14

÷2    ÷2

____________

x = 7

We found the value of x.

Now, substitute 7 as x in 3x-6 (the length of CD).

CD = 3x - 6 = 3(7) - 6 = 21 - 6 = 15

Therefore, CD = 15.

The variable that can be used to represent the number of points scored before is x and the algebraic expression would be equal to (3x - 2).

Algebra refers to the system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.

let the Number of points scored before = x

3 times the number of points scored before

= 3 × x

= 3x

Thus, two points fewer than 3 times the number of points scored before;

= 3x - 2

The examples of algebraic expression are:

2t - 5 + 3t

65x + y - 8y + 5x

In conclusion, the expression can be written as; 3x - 2

Read more on algebraic expression:

brainly.com/question/4344214

#SPJ1

Step-by-step explanation:

17389+23589=2469

56793+4569=15992

becoms54566+2368x

Answer:

its B (-1,170 , -23,400) and (170, 3,400)

Step-by-step explanation:

the next one is 170 purses

Polynomials have the following product: 3x5 + 2x4 + 5x3 + 2x2 - 32x + 14. An algebraic formula with variables is called a polynomial.

A polynomial is a mathematical expression consisting exclusively of additions, subtractions, multiplications, and positive integer powers of variables. It is an expression of coefficients and uncertainty. x2 4x + 7 represents a single indeterminate x polynomial. An expression in mathematics known as a polynomial is made up of variables (also known as indeterminates) and coefficients that can be added, subtracted, multiplied, and raised to negative integer powers of non-variables. A polynomial is an algebraic formula that includes variables and coefficients. Addition, subtraction, multiplication, and non-negative integer exponents are the only operations that can be included in an expression. This type of statement is known as a polynomial.

given

Multiply each combination of terms:

Combine like terms.

3x^5 + 2x^4 + (-7x^3 + 12x^3) + (8x^2 - 6x^2 ) + (-28x - 4x) +14=

3x^5 + 2x^4 + 5x^3 + 2x^2 - 32x + 14.

Polynomials have the following product: 3x5 + 2x4 + 5x3 + 2x2 - 32x + 14. An algebraic formula with variables is called a polynomial.

To know more about polynomials visit:

https://brainly.com/question/11536910

#SPJ1

Using it's concept, it is found that there is a 0.0333 = 3.33% probability of choosing a B not replacing it and then choosing a vowel.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The word basketball has 10 letters.

Thus, the probability of choosing a B not replacing it and then choosing a vowel is given by:

\(P(A \cap B) = P(A)P(B|A) = 0.1 \times 0.3333 = 0.0333\)

More can be learned about probabilities at https://brainly.com/question/14398287

Answer: 2/45

The question asks for choosing the letter B, which we know that there is two of in basketball, so 2/10, and then we multiply it by the amount of vowels, which is 2/9, and when we multiply we get 4/90 which can be simplified to 2/45.

Answer:

Mixed numbers have a whole number followed by the fraction (2 1/2). You would say "two and one half." The other format is an improper fraction where the numerator is greater than the denominator (5/2). Mathematicians would say that is five halves.

Answer:

27/5 I think um I have to fill out the question so ya

The quotient is found to be 4/5. The correct option is (B).

A fraction is a number written in the form a / b, where a and b are integers and b ≠ 0. The number a is called as the numerator and b is the denominator. In order to divide two fractions take the reciprocal of the other fraction and change the sign as multiplication. It can be shown as a/b ÷ c/d = a/b × d/c.

The given expression is -3/5 ÷ (-3/4).

It can be simplified as follows,

Take the reciprocal of the fraction (-3/4) as -4/3.

And, change the sign of division to multiplication to obtain,

-3/5 ÷ (-3/4)

⇒ -3/5 × -4/3 = 4/5

Which the value of the quotient.

Hence, the quotient for the given arithmetic operation is 4/5.

To know more about fraction click on,

https://brainly.com/question/10354322

#SPJ1

Answer:

.5x = y

Step-by-step explanation:

You can find mx by comparing two points on a graph

After 99 days, Karen is required to pay $14,436.63 in full, plus $139.63 in interest.

Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.

Given, Karen obtains a loan for home renovations from a bank that charges simple interest at an annual rate of 3.6%. Her loan is for $14,300 for 99 days.

From the formula of simple interest(SI) :

SI = P * R *  T / 100

Where p = principal amount

r = rate of interest

T = time

In our case

p = 14300

r = 3.6

time = 99/365

Simple interest = (14300* 3.6 * 99) / 36500

Simple interest = (143 * 3.6 * 99) / 365

Simple interest = 139.63

The total amount she has to pay = principal amount + SI

The total amount she has to pay = 14300 + 136.63

The total amount she has to pay = 14,436.63

therefore, Karen has to pay $139.63 interest and $14,436.63 Total amount after 99 days.

Learn more about simple interests here:

https://brainly.com/question/25845758

#SPJ1

Your answer makes sense. Though I would recommend using a different variable for each dog at the kennel. Like D. But other than that you're good!

$2010.458 is her new balance after she makes one new transaction for $51.

What does a credit balance mean?

The amount that the credit card company owes you is shown as a credit balance on your billing statement. Each payment you make results in credits being added to your account.

                                   When you return something you purchased with your credit card, you can receive an additional credit.

Credit balance  = $1,603

   APR = 28.6%

        = 28.6%  * $1,603

         =   458.458

Credit balance  = $1,603 + 458.458

                        = $2061.458

  net balance =  $2061.458 - 51

                      = $2010.458

Learn more about credit balance

brainly.com/question/14781034

#SPJ1

Using the long division method, the division operation (x³ − 8x² + 2) ÷ (x − 3) gives x² - 5x - 15 + (-43)/(x -3). The correct option is the first option

x2−5x+15−43x−3

x squared minus 5 x plus 15 minus fraction numerator 43 over denominator x minus 3 end denominator end fraction

From the question, we are to determine the quotient and the remainder of the given division operation

From the given information,

The given division operation is

(x³ − 8x² + 2) ÷ (x − 3)

The division operation can be carried out as follows:

                  x² - 5x - 15

x - 3 |  x³ − 8x² + 2              

          x³ - 3x²            

                -5x² + 0x

                -5x² + 15x          

                         -15x + 2

                         -15x + 45    

                                  - 43

From above, we can see that the quotient of the operation is x² - 5x - 15 and the remainder is -43

Hence, we can write that

(x³ − 8x² + 2) ÷ (x − 3) = x² - 5x - 15 + (-43)/(x -3)

Learn more on Division operation here: https://brainly.com/question/30573704

#SPJ1

Answer:

they pay $x*35.25

Step-by-step explanation:

this is the answer

Answer:

4.5 hours

Step-by-step explanation:

fbdjdbercyTxxivdu

Answer:

Basically You are asking how many hours we need to reach 7:00, if we are at 2:30, so: we need 4hours, to reach 6:30, and and extra 30minutes to reach 7:00pm. The answer is 4hours and 30minutes.

Answer:

9/8

Step-by-step explanation:

1/2 = 4/8

5/8 + 4/8 = 9/8

Answer:

|x   y   1|

|7  -3   1| = 0

|4  -8   1|

x*(-3*1 - (-8)*1) - y*(7*1 - 4*1) + 1*(7*-8 - 4*-3) = 0

5x - 3y - 44 = 0

Step-by-step explanation:

The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).

To solve this problem, we can use the concepts of trigonometry and related rates.

Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.

Given:

The plane is flying with a constant speed of 360 km/h.

The plane passes over the radar station at an altitude of 1 km.

The plane is climbing at an angle of 30°.

We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.

We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:

sin(30°) = 1/D.

To find dD/dt, we can differentiate both sides of this equation with respect to time:

cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.

Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:

cos(30°) * 0 = -1/D^2 * dD/dt.

We can substitute the known values:

cos(30°) = √3/2,

D = 1 km.

Therefore, we have:

√3/2 * 0 = -1/(1^2) * dD/dt.

Simplifying further:

0 = -1 * dD/dt.

This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.

for such more question on distance

https://brainly.com/question/7243416

#SPJ8

When x increases the value of f(x) decreases called decreasing function thus the interval on which the function is decreasing is  (-∞, -5] ∪ [-2, 2].

A certain kind of relationship called a function binds inputs to essentially one output.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

As per the given graph of a random function,

The value of f(x) decreasing when x is increasing is the interval on which we can say that function is decreasing.

If we look at the extreme left of the graph and come towards the right then the curve is going downward till x = -5.

Therefore, in interval (-∞, -5] function is decreasing.

The function is again going down in intervals [-2,2].

Therefore in inteval  (-∞, -5] ∪ [-2, 2] the function is decreasing.

Hence "When x increases the value of f(x) decreases called decreasing function thus the interval on which the function is decreasing is  (-∞, -5] ∪ [-2, 2]".

For more about the function,

brainly.com/question/23712366

#SPJ1

The given question is incomplete complete question is attached below ;

Answer:

-7v-1

Step-by-step explanation:

=-5v+(-2)+1+(-2v)

=-5v-2+1-2v

=-5v-2v-2+1

=-7v-2+1

=-7v-1

Answer:

1265 i think

Step-by-step explanation:

add 11 15 times

Answer:165

Step-by-step explanation:

Answer:

x = -9 ; x = 7

Step-by-step explanation:

We have to find two numbers whose product is -63 and whose sum is 2

the two numbers are 9 and -7

(x+9)(x-7) = 0

x = -9

x = 7

Answer:

Step-by-step explanation:

If the graph looks like the one attached, then East Asia is the only region showing an increase in forest cover over time.

Answer:

east asia

Step-by-step explanation:

got it right

The following excel commands would give you the critical value is T.INV(0.95,25)

What is excel commands?

The following describe the commands in Excel: They carry out tasks the same way users do. They can change Excel settings, open, close, and edit documents, start recalculations, and other actions that users may perform (within the bounds of the interface being utilized). Excel's command menu interface is called the Ribbon. It logically and visually groups together frequently used actions. These make up the Ribbon's principal components. Related groupings of commands are grouped together by tabs.

Population sd is not available so we have to use t test.

0.95 is for upper bound and 25 is df of t test.

To learn more about excel commands visit:https://brainly.com/question/10053162

#SPJ4

The incorrect statement is the reflection is over x-axis.

Given that an image has been reflected to form another image, we need to find the incorrect statement from the given options,

A reflection is known as a flip.

A reflection is a mirror image of the shape.

An image will reflect through a line, known as the line of reflection.

A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

So, here the image is reflected over y-axis so the rule (x, y) → (-x, y) can be followed,

Also, the orientation of the image is preserved.

Since, the transformation is reflection, so the image and pre-images are congruent.

Hence, the incorrect statement is the reflection is over x-axis.

Learn more about transformations, click;

https://brainly.com/question/11709244

#SPJ1

The incorrect statement is the reflection is over x-axis.

Given that,

an image has been reflected to form another image, we need to find the incorrect statement from the given options,

So, here the image is reflected over y-axis so the rule (x, y) → (-x, y) can be followed,

Also, the orientation of the image is preserved.

Since, the transformation is reflection, so the image and pre-images are congruent.

Hence, the incorrect statement is the reflection is over x-axis.

Learn more about transformations, click;

brainly.com/question/11709244

#SPJ1