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2 years ago

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

$F=P(1+0.16)^t$

$F=P(1.16)^t$

Find the approximate monthly rate of growth

Remember that

$1\ year=12\ months$

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:

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.

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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