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2 years ago

What is the percent decrease of the price of a bicycle if the original price was $120 and the sale price is $80?

Mathematics

1 answer:

atroni [7]2 years ago

3 0

Answer:

33.3%

Step-by-step explanation:

1. Formula: difference/original

2. 120 - 80 = 40

3. 40/120

4. 1/3

5. 1/3 = 33.3%

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How many solutions are there to the following system of equations?<br> 10x+5y=5<br> 4x+2y=2

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3 years ago

How are percents greater than 100 used in real world contexts

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3 years ago

James invests $5,072 in a savings account

Sergeu [11.5K]

Answer:

$13087.92

Step-by-step explanation:

formula: ab^x

a= starting amount

a= 5072

b= 1+r

r=rate

r=9%=0.09

b=1+0.09 =1.09

x= 11 (years)

account after 11 years:

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3 years ago

Find two values for k such that the trinomial x2 – 7x + k can be factored over the integers. Explain your reasoning.

vova2212 [387]

Answer:

1) For $a = 1$ : $b = 6$ and $k = 6$ , 2) For $a = 3$ : $b = 4$ and $k = 12$

Step-by-step explanation:

The polynomial $y = x^{2} - 7\cdot x + k$ is a second-order polynomial of the form $(x-a)\cdot (x-b) = x^{2}-(a+b)\cdot x + a\cdot b$ . By direct comparison, we construct the following system of equations:

$a + b = 7$ (1)

$a\cdot b = k$ (2)

By (1) we know that there are a family of pairs such that the system of equations is satisfied. Let suppose that both $a$ and $b$ are integers. We assume two arbitrary integers for $a$ :