One year ago, you purchased $6,000 worth of a mutual fund at an offering price of $38.10 a share. Today, the fund distributed $0.20 in short-term gains and $1.04 in long-term gains. The current offering price is $41.80. The fund has a front-end load of 5 percent and total annual operating expenses of 1.25 percent. What is your rate of return on this investment? a. 7.48 percent
b. 9.91 percent
c. 2.87 percent
d. 3.54 percent
e. 6.06 percent

a. 7.48%

Explanation:

Number of shares = $ 6,000 / $ 38.10

Number of shares = 157.48

Rate of return = [Number of shares * (Short term gans + Long term gains + ((1 - Front end load) * (Current offering price)) - Purchase price] / Purchase price

Rate of return = [157.48 * ($0.20 + $1.04 + ((1 - 0.05 ) * $41.80)) - $6,000] / $6,000

Rate of return = [157.48 * ($0.20 + $1.04 + (0.95 * $41.80)) - $6,000] / $6,000

Rate of return = [157.48 * ($1.24 + $39.71) - $6,000] / $6,000

Rate of return = $448.806 / $6,000

Rate of return = 0.074801

Rate of return = 7.48%

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.

if it is for a job, then you should learn everything you can about the job, like what does it involve, what qualification is required and how you are the right person for that job. dress appropriately for the interview. get plenty of rest the night before. good luck!