Cullumber, Inc., management expects the company to earn cash flows of $12,900, $16,300, $18,600, and $19,800 over the next four years. If the company uses an 10 percent discount rate, what is the future value of these cash flows at the end of year 4? (Round answer to 2 decimal places, e. g. 15.25. Do not round factor values.)

$77,152.90

Explanation:

The computation of the future value is shown below:

Given that

Yearly cash flows

$12,900

$16,300

$18,600

$19,800

Discount rate = 10%

Time period = 4 years

So, the future value of these cash flows is

= $12,900 × (1.1)^3 + $16,300 × (1.1)^2 + $18,600 × (1.1)^1 + $19,800

After solving this the amount came is

= $77,152.90

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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