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Amanda [17]
3 years ago
14

Plz answer this im going to fail the semester :(

Mathematics
1 answer:
TiliK225 [7]3 years ago
3 0

                                         <u>Answer and Explanation</u>

<u>__________________________________________________________</u>

<h2>The solution of the equation is 20. </h2><h3>( The value of x. )</h3>

<u>__________________________________________________________</u>

<em>The value of x is 20.</em>

<em>We can figure this out by...</em>

<u>__________________________________________________________</u>

<u></u>\frac{3x}{5}-x=\frac{x}{15}-\frac{28}{3}<em> but what does x equal?</em>

<u></u>\frac{3\cdot20}{5}-20 = -8

\frac{20}{15}-\frac{28}{3} = -8

<em>Since both are equal to -8, that means </em>\frac{3\cdot20}{5}-20 = \frac{20}{15}-\frac{28}{3}.

<em>Which means that...</em>

<em>x = 20</em>

<u>__________________________________________________________</u>

<em>Hope this helps! <3</em>

<u>__________________________________________________________</u>

<em></em>

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2 years ago
A scooter (small motorcycle) is bought at a price of $9,000. It loses 14% of its value very year. Express this scenario as a seq
IrinaK [193]

The scenario as a sequence recursively and explicitly is

a_{1} = 9,000 ;  a_{n} = 0.86 • a_{n-1}

a_{n}=9,000(0.86)^{n-1}

Step-by-step explanation:

The recursive formula for the nth term of a geometric sequence is

a_{1} = first term ;  a_{n} = r • a_{n-1} , where

  • a_{1} is the first term in the sequence
  • r is the common ratio  between the consecutive terms

The explicit formula for the nth term of a geometric sequence is

a_{n}=a(r)^{n-1} , where

  • a is the first term
  • r is the common ratio between the consecutive terms

∵ A scooter (small motorcycle) is bought at a price of $9,000

∵ It loses 14% of its value very year

- That means the new price of it will be 100% - 14% of the

  previous year

∵ 100% - 14% = 86%

∵ 86% = 86 ÷ 100 = 0.86

∴ Each year the price will be 0.86 of the price of the previous year

∴ The common ratio r = 0.86

∵ The initial price of the scooter is $9,000

∴ a_{1} = 9,000

∵ r = 0.86

- Substitute them in the the recursive formula

∴ a_{1} = 9,000 ;  a_{n} = 0.86 • a_{n-1}

∵ a = 9,000

∵ r = 0.86

- Substitute them in the the explicit formula

∴ a_{n}=9,000(0.86)^{n-1}

The scenario as a sequence recursively and explicitly is

a_{1} = 9,000 ;  a_{n} = 0.86 • a_{n-1}

a_{n}=9,000(0.86)^{n-1}

Learn more:

You can learn more about the sequences in brainly.com/question/1522572

#LearnwithBrainly

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What is the probability of tossing 4 heads? a) 1/2 b) 1/16 c) 1/33 d) 1/4
Paraphin [41]
Answer is 1/16 because if you look at 4, we can toss it  16 times by arranging in a different way .
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