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Alex787 [66]
3 years ago
7

"The last time I bought this product, it cost $20.00 but it looks like it costs $29.60 today. Why such a large increase?"

Mathematics
1 answer:
Oksanka [162]3 years ago
5 0

Answer:

The company decided to increase the price by $9.60, or by 48%.

Step-by-step explanation:

To measure the price difference in dollars is simple, just subtract the old price from the new one:

29.60 - 20 = 9.60

Divide the price change by the old price to find the price increase in percentage:

9.60 \div 20 = 0.48 \\ 0.48 \times 100\% = 48\%

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Simplify<br><br><br> (3x + 14) + (19x - 35)
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22x -21

Step-by-step explanation:

(3x + 14) + (19x - 35)

Combine like terms

3x+19x   + 14-35

22x   -21

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2.268 nearest whole gram
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It will be 2.27

Since the 8 in 2.268 is larger than 5, the 6 will turn to the next number. So, the answer will be 2.27.

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12n - 20 is the answer
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Find the positive value of x in the geometric sequence 7x-2,4x+4,3x
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Hello,


Let's assume k the ratio.

&#10; \left \{ {{3x=k*(4x+4)} \atop {4x+4=k*(7x-2)}} \right. \\\\&#10; \left \{ {{3x-4kx=4k} \atop {4x-7kx=-2k-4}} \right. \\\\&#10; \left \{ {{x(3-4k)=4k} \atop {x(4-7k)=-2k-4}} \right. \\\\&#10; \left \{ {{x=\dfrac{4k}{3-4k} \atop {x=\dfrac{-2k-4}{4-7k} \right. \\\\&#10;&#10;\dfrac{4k}{3-4k}=\dfrac{-2k-4}{4-7k}\\\\&#10;&#10;36k^2-6k-12=0\\&#10;6k^2-k-2=0\\&#10;&#10;\boxed{k= \dfrac{2}{3} \ or\ k= -\dfrac{1}{2}}\\\\&#10;&#10;x=\dfrac{4*\dfrac{2}{3} }{3-4*\dfrac{2}{3} }=8\\&#10;x=\dfrac{4*\dfrac{-1}{2} }{3-4*\dfrac{-1}{2} }=-\dfrac{2}{5}\\&#10;&#10;&#10;&#10;&#10;&#10;

\boxed{x= 8 \ or\ x= -\dfrac{2}{5}}\\\\





5 0
3 years ago
Eric teaches ceramics in his studio.he estimates that one out of every five people who call for information about a class will s
Vlada [557]

The probability that four or fewer of the people who called will sign up for a class = 0.9805

For given question,

Eric estimates that one out of every five people who call for information about a class will sign up for the class.

Last week he receive nine calls.

We need to find the probability that four or fewer of the people who called will sign up for a class.

Total number of calls = 9

⇒ n = 9

Since one out of every five people who call for information about a class will sign up for the class.

the probability of success (p) = 1/5

                                                  = 0.2

and the probability of failure (q) = 1 - p

                                                      = 1 - 0.2

                                                      = 0.8

To find the probability that four or fewer of the people who called will sign up for a class.

So, x would take values 0, 1, 2, 3, 4

Using Binomial principal,

For x = 0,

P(x=0)= ~^9C_0(0.2)^0(0.8)^{9-0}\\\\P(x=0)=0.13422

For x = 1,

P(x=1)= ~^9C_1(0.2)^1(0.8)^{9-1}\\\\P(x=1)=0.30199

For x = 2,

P(x=2)= ~^9C_2(0.2)^2(0.8)^{9-2}\\\\P(x=2)=0.30199

For x = 3,

P(x=3)= ~^9C_3(0.2)^3(0.8)^{9-3}\\\\P(x=3)=0.17616

For x = 4,

P(x=4)= ~^9C_4(0.2)^4(0.8)^{9-4}\\\\P(x=4)=0.06606

So, the required probability would be,

P = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4)

P = 0.1342 + 0.3020 + 0.3020 + 0.1762 + 0.0661

P = 0.9805

Therefore, the probability that four or fewer of the people who called will sign up for a class = 0.9805

Learn more about the probability here:

brainly.com/question/3679442

#SPJ4

3 0
1 year ago
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