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masya89 [10]
2 years ago
10

A couch is selling for $450. After not selling for 4 months, it is marked down to $427. What is the percent markdown?

Mathematics
1 answer:
valkas [14]2 years ago
6 0

Answer:

5.1%

Step-by-step explanation:

450-427=23

23/450 × 100 = 5.1111111

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What does g(n) equal
NikAS [45]
We are given the function: 
g(n) = 3 (\frac{7}{5} )^n

We need to find what g(-3) equals. 

What the question is asking is what is the resulting value after you plug in -3 as n to the function. Meaning you replace the n that is in the function with -3. 

g(-3) = 3( \frac{7}{5})^{-3}

Remember back to the order of operations. 

Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

For this problem we can keep the fraction as it is (unless you are permitted to use a calculator... if that is the case then just plug all that into a calculator) and keep going to the exponent. 

Negative exponents make fractions FLIP. So our fraction will look like this: (\frac{7}{5})^{-3} =  (\frac{5}{7})^{3}

Now that we have it without the negative exponent we need to distribute the cubed power to each number in the fraction (which is essentially the same as saying this: \frac{5}{7}* \frac{5}{7}* \frac{5}{7})

\frac{5^{3}}{7^{3}} =  \frac{125}{343}

We ARE NOT done! We still have this left: 
g(-3) = 3 \frac{125}{343}
Multiplying by 3 you get the following: 

\frac{375}{343}

So what does g(-3) equal? This right here: 

\frac{375}{343}
5 0
3 years ago
Recatangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-2,1), B(3,1),C(3,4), and
Cloud [144]

Answer: 15

Step-by-step explanation:

When you plot the points, it makes a rectangle. The length is 5 units and the height is 3 units. 5 times 3 is 15

7 0
3 years ago
Read 2 more answers
Solve the following system of equations algebraically:<br> y = x2 - 6x + 9<br> y = -9x + 19
Ratling [72]
{(-5,64), (2,1)}

linear equation: y = -9x + 19
quadratic equation: y = x² - 6x + 9

Substitute the y in the quadratic equation by the its value in the linear equation.

-9x + 19 = x² - 6x + 9
      -  19               - 19    *subtract 19 to both sides
-9x         = x² - 6x -10
+9x              + 9x            *add 9x to both sides
0            = x² + 3x - 10
0            = (x + 5) (x - 2) *Factor

Set each factor = 0 and solve
x + 5 = 0    ;      x - 2 = 0
x = -5         ;      x = 2

Find the corresponding value of y using the linear equation.
y = -9x + 19

x = -5                              x = 2
y = -9(-5) + 19               y = -9(2) + 19
y = 45 + 19                    y = -18 + 19
y = 64                            y = 1

(-5,64)                              (2,1)

Check each value on each equation.
y = x² - 6x + 9
(-5,64)                                                  (2,1)
64 = (-5)² - 6(-5) + 9                          1 = 2² - 6(2) + 9
64 = 25 + 30 + 9                                1 = 4 - 12 + 9
64 = 64                                               1 = 1

y = -9x + 19
64 = -9(-5) + 19                                  1 = -9(2) + 19
64 = 45 + 19                                      1 = -18 + 19
64 = 64                                              1 = 1

{(-5,64), (2,1)}

3 0
2 years ago
Convert the following fractions to decimals. 1/8 1/9 2/3 4/7 3/10 5/3 9/5 5/6
il63 [147K]

Answer:

1/8 = 0.125

1/9 = 0.1

2/3 = 0.6

4/7 = 0. 571428

3/10 = 0.3

5/3 = 1.6

9/5 = 1.8

5/6 = 0.83

8 0
2 years ago
I dont understand hope someone can help
drek231 [11]

Answer:

1/4+m=2/3

It's too short. Write at least 20 characters to explain it well.

3 0
2 years ago
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