For which value(s) of x is the rational expression x/ (x+1) (x-2) equal to 0?A. 0B. -1C. 1D. -1, 2

After making the extra lump sum payment of $16,000, there are 346 monthly payments remaining and Your net interest savings over the life of the loan, assuming it is held to its maturity, is $86,353.39.

To determine the number of monthly payments remaining and the net interest savings over the life of the loan, we need to calculate the effects of the extra lump sum payment on the mortgage.

Given:

Loan amount (principal balance) = $250,000

Interest rate = 6.50%

Discount points = 2

Extra lump sum payment = $16,000

A. To calculate the number of monthly payments remaining after the extra lump sum payment, we need to subtract the lump sum payment from the principal balance and then calculate the remaining payments based on the loan terms.

Principal balance after the lump sum payment:

$250,000 - $16,000 = $234,000

Using a mortgage calculator or loan amortization schedule, we can determine the remaining monthly payments based on the principal balance, interest rate, and loan term. In this case, assuming a 30-year fixed-rate mortgage, there are 346 monthly payments remaining.

B. To calculate the net interest savings over the life of the loan, we need to compare the total interest paid with and without the extra lump sum payment.

Total interest paid without lump sum payment:

Total interest = Monthly payment * Number of payments - Principal balance

Total interest = Monthly payment * 360 - $250,000

Total interest paid with lump sum payment:

Total interest = Monthly payment * Number of payments - Principal balance

Total interest = Monthly payment * 346 - $234,000

Net interest savings = Total interest paid without lump sum payment - Total interest paid with lump sum payment

Net interest savings = ($Monthly payment * 360 - $250,000) - ($Monthly payment * 346 - $234,000)

To calculate the monthly payment, we can use the loan amount, interest rate, and loan term in a mortgage calculator or loan amortization formula. Let's assume the monthly payment is $1,580.17.

Net interest savings = ($1,580.17 * 360 - $250,000) - ($1,580.17 * 346 - $234,000)

Net interest savings = $86,353.39

Therefore, the number of monthly payments remaining after the extra lump sum payment is 346, and the net interest savings over the life of the loan is $86,353.39.

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Answer:

multiply each term in one polynomial by each term in the other polynomial.

add those answers together, and simplify if needed. You can also use the distributive property to multiply polynomials

Answer:

first term(a)= 80

common ratio(r)= t2/t1 =40/80 =1/2

T4= ar^n-1

= 80*1/2^4-1

=80*1/2^3

=80*1/8

=10

then

t5=ar^n-1

= 80*1/2^5-1

=80*1/16

=5

Answer:

78.3% which would be a C+

Step-by-step explanation:

If the project was worth 20% of your grade and you got 50% on that project, we can multiply the decimal values of these percentages together to know exactly by how much your grade will drop.

0.2 * 0.5 = 0.1 or 10%

Now, we see that your grade will drop 10%. Meaning, that from your 87% you will actually have only 90% of that which is...

87 * 0.90 = 78.3

Therefore, your grade will go down to a 78.3% which would be a C+

The answer would be 28

Answer:

8/(2/7)=(8×7)/2=4×7=28

We are given that fifteen boys and fifteen girls entered a drawing for four free movie tickets. We want to find the probability that all four tickets were won by girls.

To solve this problem, we need to consider the total number of possible outcomes and the number of favorable outcomes.

Total number of outcomes:

The total number of outcomes represents all the possible ways to choose four winners from the thirty participants (boys and girls). We can calculate this using the combination formula:

C(30, 4) = 30! / (4!(30 - 4)!) = 27,405

Here, C(n, r) represents the combination of choosing r objects from a set of n objects.

Favorable outcomes:

We want to determine the number of ways to select all four winners from the group of fifteen girls. This can also be calculated using the combination formula:

C(15, 4) = 15! / (4!(15 - 4)!) = 1365

Probability calculation:

The probability is the ratio of the favorable outcomes to the total number of outcomes. So, we divide the number of favorable outcomes by the total number of outcomes:

P(Girls winning all four tickets) = 1365 / 27,405

Simplifying the fraction, we find:

P(Girls winning all four tickets) = 1 / 20

Therefore, the probability that all four tickets were won by girls is 1/20.

In summary, out of all the possible combinations of selecting four winners from the thirty participants, only one out of every twenty combinations will result in all four tickets being won by girls.

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Answer:

h= 9.473684 in.

Step-by-step explanation:

1/2(8)(15)*2+2(15h)+8h=480

120+38h=480

38h=480-120

38h=360

h= 9.473684 in.

Answer:

2)

Step-by-step explanation:

Explanation:

Area=Length×Length

100=(Length)2

Answer:  3

Step-by-step explanation:

Answer:

I think you mean 1/9.

If so, Sarah gets 2/9 of the money.

Step-by-step explanation:

1 = 9/9

1-(1/9)= 8/9

Colin : Sarah, altogether is 8

6 : 2

Thus, Sarah get 2/9

Answer:

Sarah proportion is 25% of the momey

Answer:

4sqrt(3)

Step-by-step explanation:

If the triangle is equilateral, the hypotenuse is 2x

We can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

x^2 + 12^2 = (2x)^2

x^2 + 144 = 4x^2

144 = 4x^2 -x^2

144 = 3x^2

48 = x^2

Taking the square root of each side

sqrt(48) = sqrt(x^2)

sqrt(16*3) = x

4 sqrt(3) =x

Answer:

yes, you can get all right answers.

Answer:

yes i believe that you can get all the answers right

Step-by-step explanation:

Answer:

Coordinates of X is (7/2,9/2)

Coordinates of C is (6,7)

Explanation:

x is the midpint of DB and AC

coordinates of X = ( (5+2)/2 ,(6+3)/2)

= (7/2,9/2)

Coordinates of X is (7/2,9/2)

Let (a,b) be the coordinates of C.

Then,

coordinates of x = ((a+1)/2, (b+2)/2)

(7/2,9/2) = ((a+1)/2, (b+2)/2)

Hence,

7/2=(a+1)/2

7=a+1

a = 6

9/2 =(b+2)/2

9 =b+2

b =7

Coordinates of C is (6,7)

Answer:

$2.25

Step-by-step explanation:

A dozen = 12 eggs = $1.50

1 egg = 1.5 / 12 = 0.125

18 eggs = 0.125 * 18

             =  $2.25 = 1 1/2 dozen

Answer: Decrease it’s a negative

Step-by-step explanation:

Answer:

Distributive Property

Step-by-step explanation:

a(b + c) = ab + ac

Answer:

Commutative property

Step-by-step explanation:

plz give brainliest lol

Answer:

-5 degrees fahrenheit

Answer:

2.2lbs

Step-by-step explanation:

No, 1kg of weight is not equal to 2 lbs. So the given statement is incorrect as 1 kg is equal to 2.2 lbs.

The main rationale is that quantities can vary over a wide range, so we developed multiple units to simplify calculations of weight. Therefore, using multiple units for the same physical quantity facilitates measurements and simplifies calculations. 

Only three countries – the United States, Liberia and Myanmar – have an imperial system (most or officially) complies. 

One must know that kilogram(kg) is from metric system while pound(lbs)

is Imperial system.

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Answer: the three given points are the vertices of a triangle. solve the triangle, rounding lengths tot he nearest tenth and angle measures to the nearest degree A(0,0) B(-3,5) C(3,-2)

***

Plot given points to form a triangle with angle A at (0,0), B at (-3,5) and C at (3,-2).

Using distance formula:

AB=√(0+3)^2+(0-5)^2)=√(9+25)=√34

AC=√(0-3)^2+(0+2)^2)=√(9+4)=√13

BC=√(-3-3)^2+(5+2)^2)=√(36+49)=√85

..

Law of cosine: c^2=a^2+b^2-2abcosA

(BC)^2=(AB)^2+(AC)^2-2*AB*ACcosA

√85^2=34+13-2*√34*√13cosA

85=47-2√442cosA

38=-42cosA

cosx=-38/42

A=154.8˚

..

using law of sin:

BC/sin(154.8˚)=AC/sinB

sinB=AC*sin(154.8˚)/BC=0.1665

B=9.6˚

..

BC/sin(154.8˚)=AB/sinC

sinC=AB*sin(154.8˚)/BC=0.2693

C=15.6˚

Step-by-step explanation:

Answer:

The 7 is the answer dear 7 is greater

Answer:

7 of course.

Step-by-step explanation:

Anything negative will always be smaller then a non-negative. It's like having a friend younger then you that will never be older. Could i get brainliest :D

Answer: Perpendicular.

Step-by-step explanation:

If you multiply the slopes together you will get -1:

\(3 * -\frac{1}{3} = -1\)

Parallel means they have the same slope, so that is easily ruled out here.

The work required to stretch the spring is 91.6 Ibs-inch

What is work?

Work is defined as force applied across a distance. Work examples include pushing an object against gravity, driving a car up a hill, and lowering a captive helium balloon. Work is the mechanical expression of energy.

Δx : displacement from equilibrium position

f = k Δ x (force due to spring = -kΔx)

where, k is the spring constant

Given,

f = 20ibs

Δx = 24 -18 Inches = 6 inches

∴ k = 20/6 ibs/inch

Now, PE stored in spring = 1/2 k (Δx)²

Δx : displacement from equilibrium position

Work done = change in PE

= 1/2K (Δx₂)² -1/2k (Δx₁)²

given,

Δx₁ = 21-18 inches = 3 inches

Δx₂ = 26-18 inches = 8 inches

∴work done = 1/2 * 20/6 (8² - 3²)Ibs-inches

=10/6 *5*11

work done = 91.6 ibs-inch

The spring must be stretched with 91.6 Ibs-inch of force.

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Answer:

positive trend

Step-by-step explanation:

- if the dots on scatter graph is going upwards, that means it's a positive trend. (because it's increasing)

- if the dots on the scatter graph is going downwards, then it's a negative trend. (because it's decreasing)

The given expression is a simplified algebraic equation: (1/2) * a^2 - 3b + 2c. It represents a combination of variables a, b, and c with their respective coefficients.

Utilizing symbols and operations, an algebraic equation illustrates the equivalence or inequivalence of two expressions. These generated expressions may hold variables that have varying values.

The premise centered around calculus is to arrive at a solution by acquiring the correct value(s) of these variable(s), ultimately fulfilling the outlined specification in the problem. Algebraic equations can range from uncomplicated linear problems to elaborate polynomials and trigonometric functions.

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Answer:

3 by 1

Step-by-step explanation:

3 row and 1 column

Answer:

2 by 1.

Step-by-step explanation:

Hi.  I just took this quiz, chose 3 by 1 (per the answer above) and got it wrong.  So, my score was an 83.3%.  To save you from earning the same grade, this answer was the correct one.

Hope it helps.

Answer:

480 miles

Step-by-step explanation:

Answer:

For mileages higher than 80 miles Company A  will charge less than Company B

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

Company A charges $111 and allows unlimited mileage.

Company A =111

Company B has an initial fee of $55 and charges an additional $0.70 for every mile driven

Company B = 55+0.70m

Where m is the number of miles.

Company A has to charge less than Company B

a<b

111 < 55+0.70m

Solving for m

111-55 < 0.70 m

56 < 0.70m

56/0.70 < m

80 < m  

For mileages higher than 80 miles Company A will charge less than Company B