What the Sum of Adding the Polynomials.

Ben and Alyssa play a game in which they earn the same number of points for each goal and lose the same number of points for eac

Nadya [2.5K]

Answer:

Each goal gives 5 points and a penalty costs 7 points.

Step-by-step explanation:

Let a penalty cost = x points

And a goal gives = y points

Ben makes 7 goals and 2 penalties ending the game with 21 points,

7y - 2x = 21 --------(1)

Alyssa makes 10 goals and 8 penalties ending the game with (-6) points,

10y - 8x = -6

5y - 4x = -3 --------(2)

Equation (1) multiplied by 2, then subtracted from equation (2),

(5y - 4x) - 2(7y - 2x) = -3 - 2(21)

5y - 4x - 14y + 4x = -3 - 42

-9y = -45

y = 5

From equation (1)

7(5) - 2x = 21

35 - 2x = 21

2x = 35 - 21

2x = 14

x = 7

Therefore, each goal gives 5 points and a penalty costs 7 points.

5 0

3 years ago

Cerebral $500 for four years at 3% interest compounded annually use the formula to calculate the total amount she will have to p

Black_prince [1.1K]

Since we're doing compound interest for four years it will be simpler than daily.
In case you didn't know the formula, here it is: A = P (1 +r/n)^(nt)
now lets substitute.
A = 500 (1 + 0.03)^4
A = 500 (1.03)^4
A = 500 (1.12550881)
A = 562.754405
Since that decimal is too big for cash, let's round it. Notice that the number after 5 is lower than 5. Thus the first two numbers stay the same and the final answer will be..
A = 562.75
Hope this helps :3

4 0

3 years ago

What is the dividend of 20 times 50

Kipish [7]

Answer:

1000

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A company makes traffic signs one of those signs can be modeled by an equilateral triangle with the perimeter of 144 inches the

barxatty [35]

Answer:

The height of the larger traffic signs is 51.96 inches

Step-by-step explanation:

Given that initially, A company makes traffic signs of an equilateral triangle with the perimeter of 144 inches

Now, A company makes similar traffic signs of perimeter 1.25 of original

New perimeter will be 1.25x144=180 inches

Let triangle ABC be a larger triangle with 180inches of the perimeter.

It is given that the triangle is an equilateral triangle,

Therefore, Side AB=BC=AC

The perimeter of a triangle ABC is

AB+BC+AC=180

3AB=180

AB=60 inches

Figure show that triangle ABC and AD is the height of the triangle.

Since, the triangle ABC is an equilateral triangle,

AD is the perpendicular bisector of BC

so that,

BD=DC and Angle ADB=90

In right triangle ADB,

Angle D =90 and Angle B =60

Side BD=60/2=30 inches and AB=60 inches

Using Pythagoras theorem,

$AD^{2} +BD^{2} =AC^{2}$

$(AD)^{2} +(30)^{2} =60^{2}$

$(AD)^{2} =60^{2}-(30)^{2}$

AD=51.96 inches

Thus, The height of the larger traffic signs is 51.96 inches

4 0

3 years ago

A lender estimates the closing costs on a home loan will be 3% of the loan amount of $180,000. The actual closing costs are list

Anvisha [2.4K]

Based on the information provided, it can be inferred that the lender made an excellent estimate; was equal to actual closing costs (option A)

<h3>How do you know what the lender's estimate was? </h3>

Based on the information provided, the lender estimated that the closing cost is equal to 3% of the $ 180,000 loan. To calculate that value we must do the following operation:

$ 180,000 / 100 x 3% = $ 5,400.

Based on the above, the estimated closing cost for that loan is $ 5,400.

<h3>How to know the real cost of closing the loan? </h3>

To know the real cost of the loan closing we must add the following values:

Closing Cost Charge Loan origination $ 345
Title insurance $ 600
Attorney's fees $ 1,350
Appraisal $ 480
Inspection $ 550
Recording fees $ 175
Escrow $ 1,900

$ 1,900 + $ 175 +% 550 + $ 480 + $ 1,350 + $ 600 + $ 345 = $ 5,400.

According to the above, the lender made a very precise estimate because his calculation hit the exact value of the closing cost (option A)

Learn more about lender in: brainly.com/question/3268275

3 0

3 years ago