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satela [25.4K]
2 years ago
13

Identify the solution to the system of equations 4x-y=7 -12x+3y=-21

Mathematics
1 answer:
Elza [17]2 years ago
5 0

Answer:

Step-by-step explanation:

The equations are not independent. They represent the same graph.

There are an infinite number of solutions.

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Alex invests $2,000 in a company's stock. After a year, the value of Alex's stock has increased to $2,500. What rate of return h
Kay [80]

The rate of interest is 25%

<u>Explanation:</u>

Given:

Principal, P = $2,000

Amount, A = $2500

Time, t = 1 year

Rate of Interest, r = ?

We know:

Amount = P(1+\frac{r}{100})^t

On substituting the value we get:

2500 = 2000 (1 + \frac{r}{100})^1\\ \\\frac{25}{20}= (1+\frac{r}{100})\\

\frac{5}{20} = \frac{r}{100}\\  \\r = \frac{100 X 5}{20} \\\\r = 25

Therefore, the rate of interest is 25%

5 0
3 years ago
Read 2 more answers
1. What is the volume of the prism that can be constructed from this net?
Irina-Kira [14]
1. V = lwh
    V = (8)(4)(5)
    V = (32)(5)
    V = 160 units³

2. V = lwh + lwh
    V = (4)(2)(1) + (3)(1)(1)
    V = (8)(1) + (3)(1)
    V = 8 + 3
    V = 11 units³

3. V = leh + s³
    V = (9)(3)(4) + (3)³
    V = (27)(4) + 27
    V = 108 + 27
    V = 135 units³

4. V = lwh
    V = (3)(7)(2)
    V = (21)(2)
    V = 42 units³
3 0
3 years ago
18. Solve the inequality. Show your work.<br> –6b &gt; 42 or 4b &gt; –4
grigory [225]
-6b > 42 = b<-7
or
4b > -4 = b>-1
Hope this helps.
6 0
3 years ago
Read 2 more answers
What is the average speed if Time = 3 Distance = 90
Natasha2012 [34]
Speed= distance divided by time. The answer is 30, and im assuming miles per hour. Hope this helps
6 0
3 years ago
HELPPPPPPPPPPPPPPPPPPPPPPPP
mixer [17]

Answer:

x = 20

Step-by-step explanation:

The angles shown are alternate exterior angles.

Alternate exterior angles are congruent

This means that 46 must equal 3x - 14

Note that we've just created an equation that we can use to solve for

We now use the equation to solve for x

3x - 14 = 46

add 14 to both sides

3x - 14 + 14 = 46 + 14

simplify

3x = 60

Divide both sides by 3

3x / 3 = x

60 / 3 = 20

We get that x = 20

4 0
2 years ago
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