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Bogdan [553]
2 years ago
6

Given the system of equations below,explain if (6,-9) is a solution or not.

Mathematics
1 answer:
quester [9]2 years ago
6 0

Answer:

(6,-9) is a solution.

Step-by-step explanation:

Multiply each equation by the value that makes the coefficients of y opposite.

(-1) · (7x+2y) = (-1) · (24)

8x+2y = 30

Simplify.

-7x-2y = -24

8x+2y = 30

        x = 6

-7 · x - 2y = -24

-7 · 6 - 2y = -24

-42 - 2y = -24

      -2y = 18

         y = -9

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PLEASE HELP!!! WILL REWARD BRAINLIEST!!!
jonny [76]

Answer:

The approximate monthly rate of growth is 1.24%

Step-by-step explanation:

we have the future value formula

F=P(1+r)^t

we have

r=16\%=16/100=0.16 ----> annual interest rate

so

F=P(1+0.16)^t

F=P(1.16)^t

Find the approximate monthly rate of growth

Remember that

1\ year=12\ months

so

Divide the number of periods t by 12

F=P(1.16)^{\frac{t}{12}}

Applying power rules property

F=P(1.16^\frac{1}{12})^t

F=P(1.0124)^t}

1.0124-1=0.0124

Convert to percentage

0.0124*100=1.24\%

therefore

The approximate monthly rate of growth is 1.24%

6 0
3 years ago
Which fraction below represents a repeating decimal?
nikklg [1K]

Answer:

22/12

Step-by-step explanation:

3 0
2 years ago
D Question 1 10 pts Which digit is in the hundredths place of 107.263? 07 2 6 Question 2 10 pts
enot [183]

Answer:

6

Step-by-step explanation:

We are given the number 107.263.

Using place value, locate the hundredths place.

107.2<u>6</u>3

The number 6 is in the hundredths place.

Hope this helps.

4 0
2 years ago
Sean's house is currently worth $188,900. According to a realtor, house prices in Sean's neighborhood will increase by 4.8% ever
mrs_skeptik [129]

Answer  

Given

Sean's house is currently worth $188,900.

According to a realtor, house prices in Sean's neighborhood will increase by 4.8% every year.

To prove

Formula

Compound\quaterly\ interest = Principle (1 + \frac{r}{4})^{4t}

Where r is the rate in the decimal form.

As given

Take\ Principle\ = P_{0}

Rate = \frac{4.8}{100}

              = 0.048

Put in the formula

Compound\quaterly\ interest = P_{0}(1 + \frac{0.048}{4})^{4t}

Compound\quaterly\ interest = P_{0} (1 + \frac{0.048}{4})^{4t}

Compound\quaterly\ interest = P_{0} (1 + 0.012)^{4t}       Compound\quaterly\ interest = P_{0} (1.012)^{4t}  

Now also calculated monthly.

Formula

Compound\ monthly = Principle (1 + \frac{r}{12})^{12t}

As given

Take\ Principle\ = P_{0}

Rate = \frac{4.8}{100}

              = 0.048

Put in the formula

Compound\ monthly = P_{0} (1 + \frac{0.048}{12})^{12t}

Compound\ monthly = P_{0} (1 + 0.004)^{12t}

Compound\ monthly = P_{0} (1.004)^{12t}

As the approximation quarterly growth rate of the value of sean's house is near the Compounded quarterly interest .

Thus Option (A) is correct.

i.e

The expression (1.0118)^{4t} reveals the approximate quarterly growth rate of the value of Sean's house.




                                               

                                                       




6 0
3 years ago
Read 2 more answers
Find the value of x and y in the diagram below 9 30 degrees
Leya [2.2K]

Answer:

not enough information.

Step-by-step explanation:

5 0
2 years ago
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