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Karolina [17]
3 years ago
12

how much would 200 invested at 6% interest compounded annually be worth after 6 years? round your answer to the nearest cent

Mathematics
1 answer:
Aleks04 [339]3 years ago
3 0

The formula we'll use for this is the simple interest formula, or:

Where:

<span><span> P is the principal amount, $200.00.
</span><span> r is the interest rate, 6% per year, or in decimal form, 6/100=0.06.
</span><span> t is the time involved, 6....year(s) time periods.
</span><span> So, t is 6....year time periods.
</span></span>

To find the simple interest, we multiply 200 × 0.06 × 6 to get that:

The interest is: $72.00

Usually now, the interest is added onto the principal to figure some new amount after 6 year(s),
or 200.00 + 72.00 = 272.00. For example:

<span> If you borrowed the $200.00, you would now owe $272.00 If you loaned someone $200.00, you would now be due $272.00<span> If owned something, like a $200.00 bond, it would be worth $272.00 now.</span></span>


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Answer:

The mean of the total payments she will receive is $79,500.

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Step-by-step explanation:

Given : An author receives a contract from a publisher, according to which she is to be paid a fixed sum of $20,000 plus $3.50 for each copy of her book sold. The author judges that her uncertainty about total sales of the book can be represented by a random variable with a mean of 17,000 and a standard deviation of 4,000 books.

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Let 'x' represent total sales of the book.

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According to question,

The mean of the total payments she will receive is given by,

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Substitute in the equation,

\mu_y=20000+3.50\times 17000

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The mean of the total payments she will receive is $79,500.

The standard deviation of the total payments she will receive is given by,

\sigma_y=|3.50|\sigma_x

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Substitute in the equation,

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The standard deviation  of the total payments she will receive is $14,000.

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