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ANTONII [103]
2 years ago
5

Pentagon ABCDE and pentagon A’B’C’D’E are shown on the coordinate plane below:

Mathematics
1 answer:
fiasKO [112]2 years ago
3 0

the first one ((x+8, y+2), r x-axis)

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When dante was born, his grandparents deposited $10,000 into a special college fund that paid 4% annual interest, compounded mon
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Using compound interest, it is found that Dante was 6.6 years old when the balance in the account reached $13,000.

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

In which:

  • A(t) is the amount of money after t years.
  • P is the principal(the initial sum of money).
  • r is the interest rate(as a decimal value).
  • n is the number of times that interest is compounded per year.

In this problem, we have that the parameters are given as follows:

A(t) = 13000, A(0) = 10000, r = 0.04, n = 12.

Hence the time in years is found as follows:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

13000 = 10000\left(1 + \frac{0.04}{12}\right)^{12t}

(1.0033)^{12t} = 1.3

\log{(1.0033)^{12t}} = \log{1.3}

12t\log{1.0033} =  \log{1.3}

t = \frac{\log{1.3}}{12\log{1.0033}}

t = 6.6

More can be learned about compound interest at brainly.com/question/25781328

#SPJ1

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2 years ago
Four equivalent expressions for 3(6m+3)
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There's an infinite number of equivalent expressions for 3(6m + 3), for example:

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I hope it will help you :)
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