Consider the system of equations.

x = 8 - 2y
x + 3y = 12

What value of x satisfies the system of equations?

Α. 4
B. 0
C. 5
D. 16

Answer:

The amount more in interest she will pay if she choose 8 years instead of 5 years loan is approximately $2,665.92

Step-by-step explanation:

The total worth of debt Crystal has. P = $23,000

The options on the number of years for which the loans for consolidation are available, t = 5 and 8 years

n = 12 × t = The number of monthly payment = 12×5 = 60 or 12 × 8 = 96

The annual percentage rate of the loans, r = 6.75% = 0.0675

The monthly payments, 'M', Crystal pays is given as follows;

[tex]M = \dfrac{P \cdot \left(\dfrac{r}{12} \right )\cdot \left ( 1 + \dfrac{r}{12} \right)^{n} }{\left ( 1 + \dfrac{r}{12} \right)^{n} - 1}[/tex]

When n = 60, we get;

[tex]M = \dfrac{23,000 \times \left(\dfrac{0.0675}{12} \right )\cdot \left ( 1 + \dfrac{0.0675}{12} \right)^{60} }{\left ( 1 + \dfrac{0.0675}{12} \right)^{60} - 1} \approx 452.72[/tex]

The total amount payed, A = M × n

∴ The total amount payed when n = 60 is, A₅ = 452.72 × 60 = 27163.2

A₅ ≈ $ 27,163.2

The interest on the loan, I₅ = A₅ - P

∴ I₅ = $27,163.2 - $23,000 = $4,163.2

When n = 80, we get;

[tex]M = \dfrac{23,000 \times \left(\dfrac{0.0675}{12} \right )\cdot \left ( 1 + \dfrac{0.0675}{12} \right)^{96} }{\left ( 1 + \dfrac{0.0675}{12} \right)^{96} - 1} \approx 310.72[/tex]

∴ The total amount payed when n = 80 is, A₈ = 310.72 × 96 = 29,829.12

A₈ = $ 29,829.12

The interest on the loan, I₈ = A₈ - P

∴ The interest on the loan, I₈ = 29,829.12 - 23,000 = 6,829.12

The interest Crystal pays when takes the loan for 8 years, I₈ = $6,829.12

Therefore, the amount more interest she will pay if she choose 8 years instead of 5 years loan, ΔI = I₈ - I₅

ΔI = $6,829.12 - $4,163.2 = $2,665.92

The amount more interest she pays if she choose 8 years instead of 5 years loan, ΔI = $2,665.92.

Answer: for me it must be A or C I have a picture how I find my answer.

Step-by-step explanation: Hope this help :D

Answer:

3 dollars 90 cents

Step-by-step explanation:

20 - 11.70 = 8.30

8.30 - 4.40 = 3.90

Answer:

y = -14x + 61

Step-by-step explanation:

y = mx + b

First, we can find the slope by reading the question and plugging in the slope of -14 into a slope-intercept formula.

y = (-14)x + b

Now, we need to find the "b" value. We can plug anything we want in for x and y here, but we want the equation for the line that passes through the the point (4,5). Plug in 4 into the x value and 5 into the y value, and solve for b.

5 = (-14)(4) + b

(Flip the equation, so we can solve for b.)

b = 5 - (-14) (4)

(Multiply.)

b = 5 - -56

(Substitute the double minus for a plus sign and add.)

b = 5 + 56

b = 61

Now, plug in your "b" value into our original equation.

FINAL ANSWER:

y = -14x + 61

Answer:

WhAt THe fAwK!!.....

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

Answer: likely

Step-by-step explanation:

Answer:

xyxhvhbkkdhkx djdbk dkbdidnxidbduvdjdbxbdbisbd it bdndb

Answer:

82

Step-by-step explanation:

Add all the numbers up then divide by the amount of numbers (10)

Answer:

C. 82

Step-by-step explanation:

Mean is the average of the number set

So,

82 + 91 + 89 + 78 + 81 + 88 + 75 + 85 + 77 + 74 =

820

820 / 10 =

82

Answer:

230-240

Step-by-step explanation:

Answer:

0.5 or 1/2

Step-by-step explanation

I dont know if they want the answer in fraction form.

First off, this question does not belong under the math category.

The answer to your question is D. He is the leader of Catholicism.

Hope This Helps.

Can i get brainliest?

Answer: D

Step-by-step explanation:

did on edge 2021

Answer:

The ratio of the volume of the triangular prism to the volume of the cuboid is [tex]\frac{3}{20}[/tex].

Step-by-step explanation:

Geometrically speaking, the volume of the prism is equal to the product of the area of the base and its height. Then, the volumes of the triangular prism and the cuboid are, respectively:

Triangular prism

[tex]V_{tp} = \frac{1}{2}\times 5\,cm \times 4\,cm \times 9\,cm[/tex]

[tex]V_{tp} = 90\,cm^{3}[/tex]

Cuboid

[tex]V_{c} = 6\,cm\times 5\,cm \times 20\,cm[/tex]

[tex]V_{c} = 600\,cm^{3}[/tex]

Lastly, the ratio of the volume of the triangular prism to the volume of the cuboid is:

[tex]r = \frac{V_{tp}}{V_{c}}[/tex]

[tex]r = \frac{3}{20}[/tex]

The ratio of the volume of the triangular prism to the volume of the cuboid is [tex]\frac{3}{20}[/tex].

Answer:

2(209 + 467) - 9/10

Step-by-step explanation:

Answer:

The tax would be 8%

Step-by-step explanation:

4 + 8% = 4.32

9514 1404 393

Explanation:

Linear trend

A linear trend is one that is best approximated by a straight line. Sometimes we use a straight-line approximation, even when it may not be a very good fit, because we are only interested in the sign of the slope, or its approximate magnitude. The parameters of a linear trend are about the easiest to calculate (though it doesn't matter much if an appropriate tool is used).

__

Non-linear trend

A non-linear trend is one that is best approximated by a curve other than a straight line. Trig functions (sine, cosine), exponential functions, quadratic functions are often used. Non-linear trends are not restricted to these kinds of functions.

Answer:

hi

Step-by-step explanation:

1,6,9,10,10,11,13,15,15,15

moda-10 and 15

median-10+11/2=10,5

mean-(1+6+9+10+10+11+13+15+15+15)÷10=105÷10=10,5

hope it helps

have a nice day

Answer:

5a-10

Step-by-step explanation:

5(a-2)

5a+5×-2

5a-10

Answer:

60%

Step-by-step explanation:

To make it easier, I divided 75 by 100 (0.75), and did the following:

45 / 0.75 = 60

Answer:

60%

Step-by-step explanation:

75 would be represented as 100 percent.

Answer:

This function is a quadratic.

Explanation:

If you sketch a graph, you will see the points form a U, representing a quadratic function.

Answer:

I think it’s -5

Answer:

(1,3) ;(2, 2) ;(2, 3);(3, 1) ;(3, 2) ; (3,3)

2/3

Step-by-step explanation:

____ 1 ___ 2 ____ 3

1 ___2 ___ 3 ____ 4

|

2___3 ___ 4 _____5

|

3___4 ____5 _____6

Winning outcomes : (1,3) ;(2, 2) ;(2, 3);(3, 1) ;(3, 2) ; (3,3)

Probability that a player wins :

Required outcome / Total possible outcomes

Number of winning Outcomes = 6

Total possible outcomes = 9

Probability that a player wins = 6 / 9 = 2/3

Answer:

126.5

Step-by-step explanation:

The polygon is made up of a rectangle and a triangle.

rectangle: 11 cm by 8 cm

triangle: base = 11 cm; height = 7 cm

area = LW + bh/2

area = 11 cm * 8 cm + (11 cm)(7 cm)/2

area = 88 cm^2 + 77/2 cm^2

area = 88 cm^2 + 38.5 cm^2

area = 126.5 cm^2

Step-by-step explanation:

flw me. plzzzzzzzzzzzzzzzzzz

Answer:

um.... ok, thanks 4 tho points tho..

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

more 8th graders than 6th graders will be at the dance because 80%>60

Answer:

Option A

Step-by-step explanation:

the area of the parallelogram is 22.05

Answer:

3) 7:8  7 to 8   4) 40/100 = 2/5   5) 60 mph   6) 300 kph   7) Jane  8) Jon can go faster

Step-by-step explanation:

5) 120/2 =60

6) 900/3 =300

7) Tim =50/5= $10 an hour

Jane= 24/2 =$12 an hour

Answer:

look at explanation, oh and pls give brainlist

Step-by-step explanation:

3.   7:8  [tex]\7\frac{7}{8}[/tex] ,7 to 8

4.  [tex]\frac{100 l}{40 w}[/tex], [tex]\frac{25}{10}[/tex], [tex]\frac{50}{20}[/tex]

5.  [tex]\frac{2 hrs}{120 m}[/tex], unit rate= 60 miles per hour, [tex]\sqrt[2]{120}[/tex]=60

6.  [tex]\sqrt[3]{900}[/tex]= 300, 300x3=900, unite rate= 300km per hour

7.  [tex]\frac{50}{5}[/tex]=[tex]\frac{10\\}{1}[/tex], unit rate for Tim= $10 for 1 hour, [tex]\frac{24}{2}[/tex]=[tex]\frac{12}{1}[/tex], unit rate for Jane= $12 for 1 hour, Jane has the higher rate of pay.

8. [tex]\frac{65}{4}[/tex]=[tex]\frac{16.25}{1}[/tex] , [tex]\sqrt[4]{65}[/tex]= 16.25, unit rate for Jon is 16.25ths of a pushup per minute.

[tex]\frac{45}{3}[/tex]=[tex]\frac{15}{1}[/tex], [tex]\sqrt[3]{45}[/tex]=15, unit rate for Paul is 15 pushups per minute.

Jon can do more pushups in 1 minute

Answer:

8x³ + 6x² + 5x

Step-by-step explanation:

Let's simplify step-by-step.

−x^3 + 5x + 7x^2 + 8x^3 − ( −x^3 + x )

Distribute the Negative Sign:

= −x^3 + 5x + 7x^2 + 8x^3 + −1 ( −x^3 + x )

= −x^3 + 5x + 7x^2 + 8x^3 + −1 ( −x^3 ) + −1x

= −x^3 + 5x + 7x^2 + 8x^3 + x^3 + −x

Combine Like Terms:

= −x^3 + 5x + 7x^2 + 8x^3 + x^3 + −x

= ( −x^3 + 8x^3 + x^3 ) + ( 7x^2 ) + ( 5x + −x )

= 8x^3 + 7x^2 + 4x

Answer:

= 8x^3 + 7x^2 + 4x

Answer:

432

Step-by-step explanation:

72 x 6 = 432

you are multiplying the packages x the cookies in each one