What makes a function

The amount they would save on the cost of the house if they selected the 15-year mortgage rather than the 30-year mortgage is $55,398.6

Interest is the fee paid for having access to borrowed funds. While the interest rate used to compute interest is often reported as an annual percentage rate, interest expense or revenue is sometimes expressed as a dollar figure (APR). The compensation a lender or financial organization receives for giving out money is called interest.

Given a family wants to purchase a house that cost $135,000,

down payment = $20,000

mortgage = $1,15,000

Case 1: For a 15-year mortgage their monthly payment would be 776.85

there will be 12 payments in a year

total amount to be paid in 15 years = 15*12*776.85

total amount to be paid in 15 years =  $1,38,033

Case 2: For a 30-year mortgage their monthly payment would be 537.31

total amount to be paid in 30 years = 30*12*537.31

total amount to be paid in 30 years = $1,93,431.6

the amount they would save on the cost of the house if they selected the 15-year mortgage rather than the 30-year mortgage is

$1,38,033 - $1,93,431.6 = $55,398.6

Hence the amount they would save is $55,398.6.

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The correct question is,

determine the amount they would save on the cost of the house if they selected the 15 year mortgage rather than the 30 year mortgage.

The length of the diameter of the sphere is 30 cm.

The surface area of a sphere is given by the formula:

\(A = 4\pi r^2\)

where A is the surface area and r is the radius of the sphere.

We are given that the surface area of the sphere is 900π cubic cm. Therefore:

\(A = 4\pi r^2 = 900\pi\)

Dividing both sides by 4π, we get:

\(r^2 = 225\)

Taking the square root of both sides, we get:

r = 15

The diameter of the sphere is twice the radius, so:

d = 2r = 30

Therefore, the length of the diameter of the sphere is 30 cm.

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Answer:

8/12 and 9/12

Step-by-step explanation:

hope this helps loves x

Using mathematical operators, Crissy's current balance is $22480.02

To determine Crissy's current balance, we have to use mathematical operators i.e addition and subtraction and sum up all credits to the account and then subtract debits from the account. This can be represented as;

Current balance = previous balance + deposits + interest - withdrawal

current balance = 6756.21 + 28.15 + 12350.22 + 3210.57 + 3209.87 - (175 + 2900)

Current balance = 22480.02

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If Crissy's account statement showed previous balance of $6756.21, interest of $28.15. The balance in the account is: C. $22480.02.

Using this formula to determine the account balance

Account balance = Previous balance + Interest + All deposit - All withdrawals

Where:

Previous balance = $6756.21, $28.15

Interest =  $12350.2, $3210.57, $3209.87

All deposit = $175.00

All withdrawals =  $2900.00

Let plug in the formula

Account balance = $6756.21 +$28.15 + $12350.22 + $3210.57 + $3209.87 -$175.00 - $2900.00

Account balance  = $22480.02

Therefore the correct option is C.

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Answer:

5 : 9

Step-by-step explanation:

9p = 5q ( divide both sides by q )

9 × \(\frac{p}{q}\) = 5 ( divide both sides by 9 )

\(\frac{p}{q}\) = \(\frac{5}{9}\) , that is p : q = 5 : 9

Answer:

-6

Step-by-step explanation:

Answer:

251. cm

Step-by-step explanation:

2 × pi = 6.28

6.28 × 40 = 251.2

Part A :

Yes, the statement is true that  P( A and B ) = 0 .

Given,

Event A and Event B are mutually exclusive.

Thus P ( A and B ) = 0

Part B:

A and B are mutually exclusive events if they do not occur at the same time.

This means that A and B do not share any common outcomes and

P(A and B) = 0.

Part C:

Let,

The sample space W = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

Let A = {1, 2, 3, 4, 5}, Y = {4, 5, 6, 7, 8}, and B = {7, 9}.

A and B do not have any numbers in common so P(A and B) = 0.

Hence, A and B are mutually exclusive.

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Answer:

5.32 lbs

Step-by-step explanation:

add all of them together, this is common sense math you should know how to do this.

Answer:

C

Step-by-step explanation:

[(x+2)/7]/1

= 7/(x+2)

Answer:

A) 7x-2

Step-by-step explanation:

Answer:

Which one is at the bottom? if the one at the bottom is 0 then the answer is 0. If its not then its related to pemdas or something else

Step-by-step explanation:

Answer:

? = 4

4 is the answer

Step-by-step explanation:

heart = 21

rainbow = 7

unicorn horn = 9

so, we have

heart + rainbow + rainbow = 35

21 + 7 + 7 = 35

heart + unicorn horn + rainbow = 37

21 + 9 + 7 = 37

rainbow + unicorn horn + unicorn horn =25

7 + 9 + 9 = 25

unicorn horn + unicorn horn + rainbow - heart = ?

9 + 9 + 7 - 21 = 4

Miguel will need to deposit approximately $3,261.25 into the annuity each year for 8 years in order for the annuity to have a total value of $24,000.

What is the annuity?

An annuity is a contract between you and an insurance company that requires the insurer to make payments to you, either immediately or in the future. You buy an annuity by making either a single payment or a series of payments.

We can use the formula for the future value of an annuity:

FV = PMT * \(((1 + r)^n - 1) / r\)

where FV is the future value, PMT is the regular payment, r is the interest rate per compounding period, and n is the number of compounding periods.

In this problem, we want to solve for PMT, given that FV = $24,000, r = 6.6%, n = 8, and payments are made at the end of each year.

First, we need to calculate the interest rate per year, since the annuity is compounded annually:

i = r / 100 = 6.6% / 100 = 0.066

Next, we can plug in the values and solve for PMT:

24000 = PMT *\(((1 + 0.066)^8 - 1) / 0.066\)

24000 = PMT * 7.3605

PMT = 24000 / 7.3605

PMT ≈ $3,261.25

Hence, Miguel will need to deposit approximately $3,261.25 into the annuity each year for 8 years in order for the annuity to have a total value of $24,000.

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The expression "F = {(x, y) : φ(x, y, p)}" represents a set of ordered pairs (x, y) that satisfy a condition defined by the function φ. The interpretation and nature of the set F depend on the specific function φ and the parameter p, which determine the relationship between the variables x, y, and p.

The expression "F = {(x, y) :  φ(x, y, p)}" represents a set F consisting of ordered pairs (x, y) that satisfy a particular condition defined by the function  φ, which takes the variables x, y, and p as inputs.

To fully understand the meaning of F, we need to delve into the function  φ and its relationship with the variables x, y, and p. The function φ could represent a wide range of mathematical relationships or conditions that determine the inclusion of certain pairs (x, y) in the set F.

For instance, let's consider a specific example where vraphi(x, y, p) is defined  φ(x, y, p) = \(x^2 + y^2 - p^2.\)In this case, F = {(x, y) : \(x^2 + y^2 - p^2\)= 0} represents a set of ordered pairs (x, y) that satisfy the equation \(x^2 + y^2 - p^2 = 0.\) This equation represents a circle with radius p centered at the origin (0, 0). Consequently, F corresponds to all the points lying on the circumference of this circle.

It is important to note that the specific meaning and implications of F heavily rely on the nature of the function  φ and the parameter p. Different functions and parameters will yield distinct sets F with their own unique characteristics and interpretations.

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Answer:

20\(c^{6}\)

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

given

(- 4c³)(- 5c³) ← remove parenthesis

= - 4 × c³ × - 5 × c³

= - 4 × - 5 × c³ × c³

= 20 × \(c^{(3+3)}\)

= 20\(c^{6}\)

Sathish will be going to pay a total of $64.8 for the gas.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

The First 150 and last 150 km will cover by Satish only

Since 6 liters covers 100 km

So,

Cost of 300 km (18 liters) ⇒ 18×1.2 = 21.6

Now,

The journey 2100 - 300 = 1800 km has been covered by all three

Split 1800/3 = 600 km of money Satish will pay

So,

Cost of 600km(36 liters) ⇒ 36 × 1.2 = 43.2

Total paid = 21.6 + 43.2 = 64.8.

Hence "Satis will be going to pay a total of $64.8 for the gas".

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The true statement about the right rectangular prisms include:

It should be noted that a prism simply means a shape that has two identical shapes that face each other.

Here, the angles in the smaller prism measure 90 degrees and the perimeter of the rectangular bases changes by a factor of 2.

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Answer:

1,2, and 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/3:4=n

1/3*1/4=n

n=1/12

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

check

1/3:4=1/12

1/3*1/4=1/12

1/12=1/12

The answer is good

The size of angle ACB to the nearest degree is 88 degree.

Construction Steps:

Create a line segment BC with the property AC = 4 cm.

Draw two arcs that meet at point A by using B as the centre and a radius of 4 cm, and C as the centre and a radius of 7 cm.

Join AB and AC now. Consequently, the necessary triangle is ABC.

With the use of a compass, draw a line segment AB = 7 cm from A, cutting an arc AC = 4 cm.

Cut an arc of 3 cm from point B.

Embrace BC and AC

Triangle with  angle ABC is necessary.

< ACB = 88 degree

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Answer:

c

Step-by-step explanation:

it's a property of powers, when the base is the same (-5) , you need to

sum the powers when both terms are multiplyng

subtract the powers when both terms are dividing (numerator power minus denominator power, in that order)

Since the graph was obtained by transforming the graph of the square root function, an equation for the function the graph represent is: \(g(x) = -\sqrt{9(x - 1)} + 2\)

In Mathematics and Geometry, a square root function is a type of function that typically has this form f(x) = √x, which basically represent the parent square root function i.e f(x) = √x.

In Mathematics and Geometry, a horizontal translation to the right is modeled by this mathematical equation g(x) = f(x - N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical equation g(x) = f(x) + N.

Where:

In this context, the required square root function can be obtained by applying a set of transformations to the parent square root function as follows;

f(x) = √x

g(x) = -√9(x - 1) + 2

\(g(x) = -\sqrt{9(x - 1)} + 2\)

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Since AB is parallel to CD, we have alternate interior angles forming when transversal CE intersects the parallel lines. Therefore,

mZDCE = mZECB (Alternate Interior Angles)

(7x + 2) = (x + 8) (Substitute in the given angle measures)

Solving for x, we get:

7x + 2 = x + 8

6x = 6

x = 1

Now, we can use x to find the measure of angle ZDCE:

mZDCE = (7x + 2)

= (7*1 + 2)

= 9

Therefore, the measure of angle ZDCE is 9 degrees.

7/12 of the people who visited the West branch of the store indicated that they had not purchased the product.

Out of the 168 people who visited the West branch of the store,

98 indicated that they had not purchased the product.

Therefore, the fraction of people who visited the West branch and had not purchased the product is:

98/168

Simplifying this fraction by dividing the numerator and denominator by 14, we get:

7/12

Hence, 7/12 of the people who visited the West branch of the store indicated that they had not purchased the product.

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Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

The 9th term of the given sequence is 78732.

The given sequence is 12, 36, 108... is a geometric sequence with a common ratio of 3.To find the 9th term of the given sequence, we will use the formula for the nth term of a geometric sequence, which is given by:

aₙ = a₁rⁿ⁻¹

Here, a₁ = 12 and r = 3.

Therefore, the formula for the nth term becomes:

aₙ = 12(3)ⁿ⁻¹

Now, we need to find the 9th term of the sequence. Hence, n = 9. Substituting the values of a₁ and r, and n in the formula, we get:

a₉ = 12(3)⁹⁻¹= 12(3)⁸= 12(6561)= 78732

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Answer:

z = 3/31

Step-by-step explanation:

5z + 3 = 36z

subtract 5z on both sides

3 = 31z

divide by 31 on both sides

z = 3/31

Answer:

Cone

Step-by-step explanation:

A cone is a 3D shape that is tapered and has a circular base. Additionally, it has a vertex at the top, and consists of zero edges.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

1. The slopes of perpendicular lines are  a negative reciprocal

2. Parallel lines have the same slope.

3. The shortest distance from any point to a line is a straight line

The slope of two perpendicular lines is such that the slope of one line is equal to the reciprocal of the negative slope of the other.

if two lines of slope m and m' are perpendicular their slopes is written as

m = -1/m'

Parallel lines grow vertically and flow horizontally at the same rate. they have the same slope, they never cross.

if two lines of slope m and m' are perpendicular their slopes is written as

m = m'

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