perform the requested operation or operations.Find the domain of each.please I really need help!!

Answer:

20%  (D)

Step-by-step explanation:

(A) The required down payment is $48,000.

(B) The amount of the mortgage is $192,000.

(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

(a) To find the required down payment, we need to calculate 20% of the house price.

Down payment = 20% of $240,000

Down payment = 0.2 * $240,000

Down payment = $48,000

The required down payment is $48,000.

(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.

Mortgage amount = Total cost of the house - Down payment

Mortgage amount = $240,000 - $48,000

Mortgage amount = $192,000

The amount of the mortgage is $192,000.

(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:

Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)

Where:

P = Principal amount (mortgage amount)

r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)

n = Total number of monthly payments (30 years multiplied by 12 months)

Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

Using this formula and performing the calculation will give you the monthly payment amount.

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Answer:

complementary angles. Also, your welcome :)

Step-by-step explanation:

Complementary angle

If u give me the brainliest then thank u so much, if not then its ok :)

Answer:

Dotted line on (0,4) and shaded upwards.

Step-by-step explanation:

y > 4 means that there is a dotted line on the Y-axis on the number 4. The shading will be done upwards, shading everything greater than 4.

Answer:

51.1 centimeters or to be exact 51.15 centimeters

Answer:

D. 51.1 centimeters

Step-by-step explanation:

Correct answer for plato users

Answer:

150, 15x

Step-by-step explanation:

After ten minutes he will be 15 * 10 = 150 feet below sea level.

We can call the number of minutes the diver has been underwater for as x so the integer is 15 * x = 15x.

If due to gravity, an object falls 16t^2 feet in t seconds. You drop a rock from a bridge that is 75 feet above the water. The rock will hit the water in 2 seconds?

Given data:

Object falls = 16t² feet in t seconds

Rock from a bridge = 75 feet above the water

So,

72 =16t²

t² = 72/16

t²=  4.5

t = √4.5

t  =  2.12 seconds to hit the water

Therefore we can conclude that the rock will hit the water in 2 seconds.

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Answer:

297.84 miles

Step-by-step explanation:

176 miles in 13 hours is 13.5 miles per hour

13.5 * 22 = 297.84

Answer:

y=10x; y is the miles driven, x is the hours driven

Step-by-step explanation:

The independent variable is x, and the dependent variable is y.

Answer:

The probability that one marble drawn at random is not blue is 70%

Answer:

-10/77

Step-by-step explanation:MaTh

Answer:

11 cosecx is right answer.........

The probability of a prime number or a number greater than 3 coming up is given as follows:

5/6.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

When a dice is thrown, there are six possible outcomes, ranging from 1 to 6, and the desired outcomes are given as follows:

Hence the probability is given as follows:

5/6.

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Answer:

\(a(1) = 144\)

\(a(n) = 144{( - \frac{1}{6} )}^{n - 1} \)

\(a(n) = - \frac{1}{6} a(n - 1)\)

Answer:

b) local minimum at \(x=\frac{1}{e}\)

c) Graph of the function is convex

Step-by-step explanation:

We are told that \(f'(\frac{1}{e})=0\), which implies there is a turning/stationary point at \(x=\frac{1}{e}\).

Substituting \(x=\frac{1}{e}\) into \(f''(x)\) will tell us if the turning point is a minimum or a maximum:

\(f''(\frac{1}{e})=\frac{1}{\frac{1}{e} } =e>0 \implies \textsf{local minimum}\)

Therefore, statement a) is false and statement b) is true.

If the function has a minimum turning point, then this implies that the curve is convex.  Therefore, statement c) is true.

Extremum = local min and max points.

We have already established that there is a local minimum at \(x=\frac{1}{e}\), therefore statement d) is false.

I know this is not needed for this question, but here are the workings to detemine the equation of the function (I've also attached a graph).  This supports the answers above.

\(\textsf{if} \ f''(x)=\frac{1}{x}\\\\\implies f'(x)=\int f''(x) \ dx \\\\\implies f'(x)=ln|x|+C\\\)

\(\textsf{if} \ f'(\frac{1}{e})=0\\\\\implies ln|\frac{1}{e}|+C=0\\\\\implies -1+C=0\\\\\implies C=1\\\\\)

\(\implies f'(x)=ln|x|+1\\\)

\(\textsf{if} \ f'(x)=ln|x|+1\\\\\implies f(x)=\int f'(x) \ dx\\\\\implies f(x)=xln(x)-x+x+C\\\\\implies f(x)=xln(x)+C\)

Answer:

last 2 I think

Step-by-step explanation:

okokokokokipullup

Answer:

The two statements are logically equivalent.

Step-by-step explanation:

Let X be the statement that Bob is a double math and computer science major.

Y be the statement that Ann is a maths major.

Z be the statement that Ann is a double maths and computer science major.

The two statements written in terms of X, Y and Z now

a. Bob is a double math and computer science major and Ann is a math major, but Ann is not a double math and computer science major.

(x and y) and not z

b. It is not the case that both Bob and Ann are double math and computer science majors, but it is the case that Ann is a math major and Bob is a double math and computer science major.

not (x and z) and (x and y)

Noting that for logical statements,

Negation is represented by ~

And is represented by conjunction sign Λ

Or is represented by disjunction sign V

(x and y) and not z

(x Λ y) Λ (~z)

not (x and z) and (x and y)

~(x Λ z) Λ (x Λ y)

We can then simplify the second statement to obtain the first statement and prove the equivalence of both sides

~(x Λ z) Λ (x Λ y)

Using DE MORGAN'S theory, ~(x Λ z) = (~x) V (~z)

~(x Λ z) Λ (x Λ y) = ((~x) V (~z)) Λ (x Λ y)

Then applying the distributive law to the expression, we can open the bracket up

((~x) V (~z)) Λ (x Λ y)

= ((~x) Λ (x Λ y)) V ((~z) Λ (x Λ y))

Opening the first bracket up further

((~x) Λ (x Λ y)) V ((~z) Λ (x Λ y))

= ((~x) Λ x) Λ y) V ((~z) Λ (x Λ y))

The NEGATION law shows that (~x Λ x) = c (where c is a negation law parameter for when two opposite statements are combined in this manner, it works like a 0 in operation)

((~x) Λ x) Λ y) V ((~z) Λ (x Λ y))

= (c Λ y) V ((~z) Λ (x Λ y))

But (c Λ y) = (y Λ c) = c (according to the UNIVERSALLY BOUND law, see how c works like a 0 now?)

(c Λ y) V ((~z) Λ (x Λ y))

= c V ((~z) Λ (x Λ y))

= ((~z) Λ (x Λ y)) V c (commutative)

And one of the foremost IDENTITY laws is that (any statement) V c = c

((~z) Λ (x Λ y)) V c

= ((~z) Λ (x Λ y))

= (x Λ y) Λ (~z)

Which is the same as the first statement!

PROVED!!!

Hope this Helps!!!

Answer:

Not 100% but I think they are equal logically.

The possible rectangle's length and width are A) 1 cm and 15 cm and C) 3 cm and 5 cm

The given parameters are

Area = 15 square cm

The area is given as

Area = 15 square cm

The formula of area is

Area = Length x Width

Using the above formula, we have:

A) 1 cm and 15 cm ⇒ 15 square cm

B) 2 cm and 7 cm ⇒ 14 square cm

C) 3 cm and 5 cm ⇒ 15 square cm

D) 4 cm and 4 cm ⇒ 16 square cm

Hence, the possible rectangle's length and width are A) 1 cm and 15 cm and C) 3 cm and 5 cm

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Possible question

The area of a rectangle is 15 square cm

Which of the following could be the rectangle's length and width?

(Area = length x width)

Choose all answers that apply:

A) 1 cm and 15 cm

B) 2 cm and 7 cm

C) 3 cm and 5 cm

D) 4 cm and 4 cm

The amount of the last payment that Elroy will make is $710, which includes the $200 monthly payment and a balance of $510.

The last payment amount is the result of the mathematical operations of subtraction and multiplication.

The first mathematical operation was the subtraction of the down payment from the total cost of the video game system.

Using multiplication, the monthly payments are determined to be $3,400 for 17 months.  This is subtracted from the remaining balance to obtain the last payment amount.

The cost of a custom video game/virtual sound system = $4,210

Down payment = $100

The remaining balance for monthly payment = $4,110 ($4,210 - $100)

Payment period = 18 months (1¹/₂ years)

Monthly payments = $200

Payment for the first 17 months = $3,400 (17 x 200)

Last payment = $710 ($4,110 - $3,400)

Thus, if Elroy makes the minimum monthly payment of $200 till the last payment, then he will pay $710 to settle the account.

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He made a $100 down payment and agreed to pay the entire purchase off in 1 1/2 years The minimum monthly payment is $200 if he makes the minimum monthly payment up until the last payment what will be the amount of his last payment?

That note about "both signs have been reversed" only applies to the example on the right side, where –4 was distributed into the expression in parentheses.

Notice on the left example, the signs were not reversed.

When you distribute a negative number, that's when the signs will reverse.  Since you're distributing a negative number, you'll be multiplying each term in parentheses by a negative number and that negative is what reverses the sign on every term.

So, yes all of the signs will be reversed each time you distribute a negative number into the parentheses, but not if you distribute a positive number.

Answer:

22. Congruent traingle

24. Similar traingle

We need to compare their corresponding sides and angles to determine if the two triangles are congruent or similar.

Attached flowchart to help you determine if two triangles are congruent or similar: See Attachment:

Properties of the similar triangle:

Properties of the Congruent Triangle:

Answer:

35

Step-by-step explanation:

30+20=50

50-15=35

(Brainliest helps)

Answer:

Answer on imagine math ;)

The solution for X is X ≈ \(tan^{(-1)(0.7429)\), which is approximately 0.6619 radians or approximately 37.89 degrees.

Given: 1 secX + 3 = cosX + tanX (2 + sinX)

To simplify the equation, let's express secX and tanX in terms of sinX and cosX:

1/cosX + 3 = cosX + sinX/cosX (2 + sinX)

Now, multiply both sides by cosX to eliminate the denominators:

\(1 + 3cosX = cos^2X + sinX(2 + sinX)\)

Expanding the equation:

\(1 + 3cosX = cos^2X + 2sinX + sin^2X\)

Since \(sin^2X + cos^2X\) equals 1 (based on the Pythagorean identity), we can substitute it into the equation:

\(1 + 3cosX = 1 + 2sinX + sin^2X\)

Rearranging the terms:

\(3cosX = 2sinX + sin^2X\)

Now, let's express cosX in terms of sinX using the Pythagorean identity:

cosX = √(1 - \(sin^2X\))

Substituting this into the equation:

3√(1 - \(sin^2X) = 2sinX + sin^2X\)

Squaring both sides to eliminate the square root:

\(9(1 - sin^2X) = (2sinX + sin^2X)^2\)

Expanding the right side:

\(9(1 - sin^2X) = (2sinX)^2 + 2(2sinX)(sin^2X) + (sin^2X)^2\\9 - 9sin^2X = 4sin^2X + 4sin^3X + sin^4X\)

Rearranging the terms:

\(sin^4X + 4sin^3X + 4sin^2X + 9sin^2X - 9 = 0\)

Combining like terms:

\(sin^4X + 4sin^3X + 13sin^2X - 9 = 0\)

Unfortunately, this equation does not have a simple algebraic solution. It needs to be solved numerically or graphically. Using numerical methods or a graphing calculator, we can find that one solution to this equation is sinX ≈ 0.7429.

Taking the inverse tangent (arctan) of both sides, we have:

X = arctan(0.7429)

Therefore, the solution for X is X ≈ t\(an^{(-1)}(0.7429)\), which is approximately 0.6619 radians or approximately 37.89 degrees.

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Answer:

The scale factor is 3/2.

Step-by-step explanation:

Let's use the side PQ.

The original length was 8 units.

And the new length is 12 units.

Let the scale factor be k. Therefore:

\(8k=12\)

By dividing both sides by 8, we can see that our scale factor from ΔPQR to ΔP'Q'R' is:

\(\displaystyle k=\frac{12}{8}=\frac{3}{2}\)

The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.

Part A: The absolute value inequality that describes the range of the actual weight of the object is:

|w - 125.8| ≤ 0.4

Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:

w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4

Solving the first inequality:

w - 125.8 ≤ 0.4

Add 125.8 to both sides:

w ≤ 126.2

Solving the second inequality:

-(w - 125.8) ≤ 0.4

Multiply by -1 and distribute the negative sign:

-w + 125.8 ≤ 0.4

Subtract 125.8 from both sides:

-w ≤ -125.4

Divide by -1 (note that the inequality direction flips):

w ≥ 125.4

Combining the solutions, we have:

125.4 ≤ w ≤ 126.2

The object is 125.4 ≤ w ≤ 126.2.

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Answer:

4005

Step-by-step explanation:

3,998 - (-7) = ?

Two negative signs will make a positive sign.

3,998 - (-7) = 3998 + 7 = 4005

So, the answer is 4005

Answer:

Step-by-step explanation:

Here we are multiplying together two complex numbers which happen to be identical:  both are 5 - 7i).

This is also "the square of 5 - 7i:  (5 - 7I)^2

In both cases, the result is 25 - 35i - 35i - 49, or 74 - 70i

Answer:

the problem is like that or is showing u how are the equations ?