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iragen [17]
3 years ago
6

A new law requires that 12% of an individual's income be invested in the stock market. Your accounts show that you need to put $

420 in the stock market this year. How much did you earn this year.
A $5,040 B $350 C $504** D $3,500
Mathematics
1 answer:
kozerog [31]3 years ago
4 0
If you need to put $420 this year and the law requires 12% of the income to be invested in the stock market, then you earned:
$240/0.12 = $3500 this year

So, you earned a total of $3,500 this with 12% of it invested in the stock market which is 12% of your total earnings leaving you with just $3,080
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A geometric sequence is shown below.
mestny [16]

Answer:

An explicit representation for the nth term of the sequence:

f_n=-\frac{1}{2}\cdot \:4^{n-1}

It means, option (B) should be true.

Step-by-step explanation:

Given the geometric sequence

-\frac{1}{2},\:-2,\:-8,\:-32,...

A geometric sequence has a constant ratio, denoted by 'r', and is defined by

f_n=f_1\cdot r^{n-1}

Determining the common ratios of all the adjacent terms

\frac{-2}{-\frac{1}{2}}=4,\:\quad \frac{-8}{-2}=4,\:\quad \frac{-32}{-8}=4

As the ratio is the same, so

r = 4

Given that f₁ = -1/2

substituting r = 4, and f₁ = -1/2 in the nth term

f_n=f_1\cdot r^{n-1}

f_n=-\frac{1}{2}\cdot \:4^{n-1}

Thus, an explicit representation for the nth term of the sequence:

f_n=-\frac{1}{2}\cdot \:4^{n-1}

It means, option (B) should be true.

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8+345737377948585848484​
iris [78.8K]

Answer:

3.4573738e+20

Step-by-step explanation:

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snow_lady [41]

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Step-by-step explanation:

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