Michelle is debating between two different mortgages for $184,000. She found a 20-year fixed rate loan at 7.05% and 15-year fixed rate loan at the same rate. How much more interest will she pay for the 20-year loan versus the 15-year loan?

Given:

The system of equations is

[tex]5g+4k=10[/tex]

[tex]-3g-5k=7[/tex]

To find:

The solution of given system of equations.

Solution:

We have,

[tex]5g+4k=10[/tex]        ...(i)

[tex]-3g-5k=7[/tex]         ..(ii)

Multiply (i) by 5 and (ii) by 4.

[tex]25g+20k=50[/tex]        ...(iii)

[tex]-12g-20k=28[/tex]         ..(iv)

Adding (iii) and (iv), we get

[tex]25g-12g=50+28[/tex]

[tex]13g=78[/tex]

Divide both sides by 13.

[tex]g=\dfrac{78}{13}[/tex]

[tex]g=6[/tex]

Put g=6 in (i).

[tex]5(6)+4k=10[/tex]

[tex]30+4k=10[/tex]

[tex]4k=10-30[/tex]

[tex]4k=-20[/tex]

Divide both sides by 4.

[tex]k=-5[/tex]

So, the solution of the system of equation is (6,-5).

Therefore, the correct option is A.

Answer:

The interest rate is 0.0425%

Step-by-step explanation:

Mathematically;

I = PRT/100

From the question, I in this context is the difference between how much they have paid and the amount borrowed

Mathematically, this is ; 364,000-160,000 = 204,000

This is the interest

R is the rate = ?

T = 30 years

P is the amount borrowed = 160,000

thus, we have

204,000 = (160,000 * R * 30)/100

2040 = 4800000R

R = 2040/4800000

R = 0.000425 which is 0.0425%

Answer:

10 not in

5 in

0 not in

Step-by-step explanation:

Answer:

C. m = -8

I hope this helps!

Answer:

Slope is -8

Step-by-step explanation:

2 - y = 8x

- y = 8x - 2

-y/-1 = 8x/-1 - 2/-1

y = -8x + 2

Answer:

3 cups

Step-by-step explanation:

If one needs one cup then three needs three cups.

Answer:

the answer is 3 or less dhevvshsbdvdd

Answer:

the answer is B that is

ΔABC is similar to ΔEDC

Step-by-step explanation:

look at the figure abc and edc completely match together as a is a right angle and is at the the first, similarly e is also a right angle and is at the first. also b is at the same place as d i.e. in between the right angle and the last angle.

moreover, c is at the last in abc just like in edc

Answer:

Uh- 1? I'm not sure, but I think?

Answer:

It’s 125

Step-by-step explanation:

Answer:

First Picture: 284 square inches

Step-by-step explanation:

Answer:

yeah he got it

Step-by-step explanation:

Answer:

Domain → [-5, ∞)

Range → [-2, ∞)

Step-by-step explanation:

Domain:

Domain of a function on from its graph is represented by the set of x-values (Input values).

Range:

Range of a function is a set of y-values (output values).

From the graph attached,

Graph starts from x = -5 and tends towards the infinity, so the domain will be,

Domain → [-5, ∞)

Similarly, y-values vary from y = -2 to y = ∞

Therefore, Range → [-2, ∞)

Given the graph of the function:

Domain is: [-5, ∞)

Range is: [-2, ∞)

The domain of a function are all the values of x that are plotted on the x-axis, while the corresponding y-values are the range of the function.

Thus:

From the given graph representing a function:

Domain of the function is between -5 to infinity.

Range of the function is between -2 to infinity.

Therefore, given the graph of the function:

Domain is: [-5, ∞)

Range is: [-2, ∞)

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Answer:

A

Step-by-step explanation:

Isolate M

Divide -5

Answer:

a

Step-by-step explanation:

Answer:

i got 8.944272

Step-by-step explanation:

might be wrong because i havent done a probelm like this in a long time

but i used the distance formula between the 2 plotted points.

Answer:

7/9 is the answer

Step-by-step explanation:

Answer:

Impossible you can’t

Step-by-step explanation:

Answer:

x=1/2 or x=−1

Step-by-step explanation:

The solution to the quadratic equation is x = -1 or 1/2

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

2x² + x - 1 = 0   be equation (1)

And , roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

On simplifying , we get

x = [ -1 ± √ ( 1 )² - ( 4 ) ( 2 ) ( -1 ) ] / 4

x =  [ -1 ± √ ( 1 + 8 ) ] / 4

x = [ -1 ± 3 ] / 4

So , the two values of x are

x = ( -1 - 3 ) / 4

x = -1

And , x = ( -1 + 3 ) / 4

x = 1/2

Therefore , the values of x are -1 or 1/2 respectively

Hence , the roots of the quadratic equation are -1 or 1/2 respectively

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Answer:   a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. An example of a polynomial of a single indeterminate x is x2 − 4x + 7.

Step-by-step explanation:

hope that help

Answer:

12.5%

Step-by-step explanation:

it easy

12.5 percent

its simple

Answer:

110

Step-by-step explanation:

the measurment is more than 90 but not by much

Answer:

the value of the smallest number is 3

Step-by-step explanation:

The computation of the value of the smaller number is shown below:

Given that

y = 4x + 2

y = 2x + 8

Now equate these two equations

4x + 2 = 2x + 8

4x - 2x = 8 - 2

2x = 6

x = 3

Hence, the value of the smallest number is 3

The same is to be considered

Answer:

The value number is 3

Step-by-step explanation:

Answer:

I belive it is A

Step-by-step explanation:

Answer:

I think it is #1

Step-by-step explanation:

28/45

Answer:

3

To find:

x

Step-by-step explanation:

3x + 5 = 7x – 7

3x - 7x = -7 - 5

-4x = -12

x = -12/-4

x = 3

hope it helps u!

Answer:

ok so first i want to figure out what 2/5 converted to percent is......

you can find it out on a calculator or on paper by dividing 2 / 5 = 0.4

so this is 40% and if it takes him half a minute to do this, it takes him about 30 seconds to finish 40% of the essay and there is a full 60% still waiting to be done, so lets see,

40% + 40% = 80%

so that is about 1 full minute to write 80% we are still left with 20% so let's see how much time does it take to write 20% of the essay, in 40% it takes 30 seconds and in 80% it takes 60 seconds. So since 20% is half of 40% then we must divide the time in half so 30 / 2 = 15

So if we add all these numbers up it equals 1:15 minutes to write an essay

I hope this helps and please mark brainliest if i got it right!

The time taken by Ben to write a full page will be 1:15 minutes.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

you can find it out on a calculator or on paper by dividing 2 / 5 = 0.4

So this is 40% and if it takes him half a minute to do this, it takes him about 30 seconds to finish 40% of the essay and there is a full 60% still waiting to be done, so let's see,

40% + 40% = 80%

so that is about 1 full minute to write 80% we are still left with 20% so let's see how much time it takes to write 20% of the essay, in 40% it takes 30 seconds and in 80% it takes 60 seconds. So since 20% is half of 40% then we must divide the time in half so 30 / 2 = 15

Therefore, the time takes Ben to write a full page will be 1:15 minutes.

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Answer:

11 students

Step-by-step explanation:

In order to solve this problem, you would simply need to add the provided number of students from each school together. This would give you the total number of students from all of the aforementioned schools that have decided to enter the race.

4 + 7 = 11 students

Therefore, we can see that a total of 11 students from both schools have entered the race.

Answer:

3 is b

4 is also b

Step-by-step explanation:

Answer:

[tex]6mx - 3nx + my[/tex]

Step-by-step explanation:

2my - my = 1my (1 can also be omitted).

Answer:

6mx-3nx+my

Step-by-step explanation:

Collect like terms:

6mx-3nx+2my-my

subtract: 2my-1my

= 1my

since you cant add any more like terms your answer would be

6mx-3nx+my

Answer:

The third image

Step-by-step explanation:

Your mom

Answer:

option C

Step-by-step explanation:

I got the right answer c;

Answer:

1:10

Step-by-step explanation:

the ratio we can it is

[tex]\frac{amount\:salt}{amount\:sugar}\\\\\frac{\frac{1}{4}}{2\frac{1}{2}}\\\\\frac{\frac{1}{4}}{\frac{5}{2}}\\\\\frac{1\times2}{4\times5}\\\\\frac{1}{2\times5}\\\\\frac{1}{10}[/tex]

so the ratio is 1:10