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3 years ago

The price of a car has been reduced from $19,500 to $12,870. What is the percentage decrease of the price of the car?

Mathematics

2 answers:

Korvikt [17]3 years ago

8 0

Answer:

C 34%

Step-by-step explanation:

To find the percent decrease, take the original price and subtract the new price

19500-12870 =6630

Divide by the original price

6300/19500=.34

Multiply by 100% to get in percent form

34%

zepelin [54]3 years ago

8 0

B. 66.3% is the answer

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A farmer has 20 acres to plant in wheat and barley. He has to plant at least 15 acres. Wheat costs $200 per acre to plant and ba

maria [59]

Answer:

16 acres of barley only (no acres of wheat)

Step-by-step explanation:

A graph shows cost of planting puts an upper limit on planted area. The lower limit is provided by the requirement to plant at least 15 acres. The vertices of the feasible solution region are ...

(wheat acres, barley acres) = {(0, 15), (0, 16), (3, 12)}

The profit associated with these scenarios will be ...

for (0, 16): 16·350 = 5600

for (3, 12): 3·450 +12·350 = 1350 +4200 = 5550

To maximize profit, the farmer should plant 16 acres of barley.

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3 years ago

What are the roots of the polynomial equation x^3-5x+5=2x^2-5? Use a graphing calculator and a system of equations. Round nonint

leonid [27]

The right answer is c. –2.24, 2, 2.24

This question needs to be solved in two ways. First, using a graphing calculator. Next, using a system of equations.

1. Using a graphing calculator.

We have the following polynomial equation:

$x^3-5x+5=2x^2-5$

By ordering this equation we have:

$x^3-2x^2-5x+10=0$

So, we can say that this equation comes from a function given by:

$f(x)=x^3-2x^2-5x+10$

Thus, by plotting this function, we have that the graph of this function is indicated in Figure 1. By zooming, we can see, in Figure 2, that the roots of the polynomial equation are the x-intercepts of $f(x)$ which are:

$x_{1}=-2.236 \\ \\ x_{2}=2 \\ \\ x_{3}=2.236$

Finally, rounding noninteger roots to the nearest hundredth we have:

$\boxed{Root_{1}=-2.24} \\ \\ \boxed{Root_{2}=2} \\ \\ \boxed{Root_{3}=2.24}$

2. Using a system of equations.

The ordered equation is:

$x^3-2x^2-5x+10=0$

By arranging to factor out we have:

$x^3-5x-2x^2+10=0$

Then, by factoring:

$x(x^2-5)-2(x^2-5)=0$

Term $(x^2-5)$ is a common factor, thus:

$(x-2)(x^2-5)=0 \\ \\ (x-2)(x-\sqrt{5})(x+\sqrt{5})=0 \\ \\ Finally: \\ \\ \boxed{Root_{1}=-\sqrt{5}=-2.24} \\ \\ \boxed{Root_{2}=2} \\ \\ \boxed{Root_{3}=\sqrt{5}=2.24}$

6 0

3 years ago

Read 2 more answers

Heidi must correctly answer at least 80% of the questions on an exam to advance to the next

Oduvanchick [21]

Given:
must correctly answer 80% of the questions
correctly answered questions = 26
incorrectly answered questions = 4
unanswered questions = 15

Total questions = 26 + 4 + 15 = 45

45 * 80% = 36 required correctly answered questions.

36 - 26 = 10

Out of 15 remaining questions, 10 questions must be correctly answered for Heidi to advance to the next level.

3 0

3 years ago

15 r minus 6 r = 36. What is the value of r?

vodomira [7]

Answer:

r=4

Step-by-step explanation:

15r-6r=36

9r=36

r=36/9

r=4

3 0