If the apr of a savings account is 6.8% and interest is compounded semiannually, what is the approximate apy of the account?

The answer is 6.92%

Explanation:

From the question given let us recall the values.

The APR of as savings account is = 6.8% and the interest is compounded semiannually.

Then,

APR = (1 + 0.68/12)¹² - 1

APR = (1.68/12)¹² - 1 =0.0692

Therefore the approximate apy of the account is,

APR = 6.92%

bd = 9 cm

step-by-step explanation:

in a 30°-60°-90° triangle, the ratio of side lengths is 1 : √3 : 2. that is, the longest side (hypotenuse) is twice the length of the shortest side.

all of the triangles in your geometry are 30°-60°-90° triangles. ac is the hypotenuse of δacd, and the short side of δabc.

the short side ad of δacd will be half the length of ac, so 3 cm. the hypotenuse ab of δabc will be twice the length of ac, so 12 cm. segment bd is the difference of the lengths ab and ad, so is

bd = ab -ad

bd = 12 cm - 3 cm = 9 cm

comment on side length ratios

you can figure the ratios of side lengths in a 30°-60°-90° triangle by considering the trig ratios of the angles. or you can figure the length of the altitude of an equilateral triangle of side length 2 using the pythagorean theorem.

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