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3 years ago

Solve 3x+2y=5 and 7x+2y=9

Mathematics

1 answer:

vekshin13 years ago

6 0

Answer:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Point Form:(1,1)

Step-by-step explanation:

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What is the solution to -4|-2x+6| = -24

AURORKA [14]

The answer is x1= 0, x2= 6

5 0

3 years ago

How much interest would $2,000 earn, with simple interest, in two years at the<br>rate of 4.2%?

Anna [14]

Answer:

$168

Step-by-step explanation:

The formula we'll use for this is the simple interest formula, or:

I=Prt

Where:

P is the principal amount, $2000.00.

r is the interest rate, 4.2% per year, or in decimal form, 4.2/100=0.042.

t is the time involved, 2....year(s) time periods.

So, t is 2....year time periods.

To find the simple interest, we multiply 2000 × 0.042 × 2 to get that:

The interest is: $168.00

8 0

3 years ago

Ebony's gross income is $46 660 with allowable tax deductions of $4120. a What is Ebony's taxable income? b Calculate the amount

jasenka [17]

Answer:

(a) Ebony's taxable income = $42,540

(b) Amount of tax due = $5190.3

Step-by-step explanation:

Ebony's gross income = $46,660 (given)

Allowable tax deductions = $4,120 (given)

(a) Taxable Income = Gross income - Tax deductions

Ebony's taxable income = $46,660 - $4,120

Ebony's taxable income = $42,540

(b) Amount of tax due = 22% of Taxable Income,

Refer to the USA Tax Brackets for 2019 (See Attached image)

Amount of tax due = 10% on first $9,700 + 12% on ($39475-$9700) + 22% on ($42540-$39475).

Amount of tax due = 10% on first $9,700 + 12% on $29775 + 22% on $3065.

Amount of tax due = $970 + $3573 + $647.3

Amount of tax due = $5190.3

$95 * 4 = $380

Amount of tax owed = Amount of tax due - Amount of tax paid

Amount of tax owed = $5190.3 - $380 = $4810.3

3 0

3 years ago

Find the equation of the line containing the points (20,-7) and (10,-2). Type your answer in this order and don't use spaces or

aliina [53]

$(\stackrel{x_1}{20}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{-2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{(-7)}}}{\underset{run} {\underset{x_2}{10}-\underset{x_1}{20}}}\implies \cfrac{-2+7}{-10}\implies -\cfrac{1}{2}$

$\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{-\cfrac{1}{2}}(x-\stackrel{x_1}{20}) \\\\\\ y+7=-\cfrac{1}{2}x+10\implies y=-\cfrac{1}{2}x+3$

4 0

2 years ago

Kelly ran 2 miles and burned 240 calories. The next day she ran 3 miles and burned360 calories. Th3 nest day 4 miles and 480 mil

mario62 [17]

Answer:

1080 calories

Step-by-step explanation:

all you do is add 120 everytime she goes on run

6 0

3 years ago