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luda_lava [24]
3 years ago
6

Find the area of an equilateral triangle with a side of 6 inches.

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
6 0

Answer:

9\sqrt{3} in²

Step-by-step explanation:

The area (A) of an equilateral triangle is calculated as

A = \frac{s^2\sqrt{3} }{4} ( s is the length of a side )

Here s = 6, thus

A = \frac{6^2\sqrt{3} }{4} = \frac{36\sqrt{3} }{4} = 9\sqrt{3} in²

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Martin deposits $200 in a savings account that earns 5% annual interest. four years later, cary deposits $200 in an account earn
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<span>Martin deposits $200 in a savings account that earns 5% annual interest.

year         interest                       balance

1              200 * 5%                    200(1.05)

2              200(1.05) * 5%          200(1.05)^2

3              200(1.05)^2*5%        200(1.05)^3

y                                                200(1.05)^y

=> m = 200 (1.05)^y

four years later, cary deposits $200 in an account earning the same interest.

</span>
<span><span>year         interest                       balance

5              200 * 5%                    200(1.05)

6              200(1.05) * 5%          200(1.05)^2

7             200(1.05)^2*5%        200(1.05)^3

y                                                200(1.05)^(y-4)

=> c = 200(1.05)^ (y-4)
</span>
Answer:
Martin: 200(1.05)^y
Cary: 200(1.05)^(y–4)
</span>
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