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Norma-Jean [14]
3 years ago
8

A rectangular box has dimensions of length = 6, width = 4, and height = 5. the measure of the angle formed by a diagonal of the

box with the base of the box is
Mathematics
1 answer:
Radda [10]3 years ago
8 0

Answer:

33.7° (rounded up to nearest tenth)

Step-by-step explanation:

A rectangular box has dimensions of:

Length = 6 units

Width = 4 units

Height = 5 units

The base of the box is 6 units by 4 units.

\frac{4}{6} = tan angle

angle = tan^{-1} \frac{4}{6} ≅ 33.7°

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Orwell building supplies' last dividend was $1.75. Its dividend growth rate is expected to be constant at 38.00% for 2 years, af
WITCHER [35]

Answer:

Estimated current stock price is $46.84

Step-by-step explanation:

First we have to find the value of dividend payment t_1, t_2 \& t_3

Given D_0=$1.75

Yearly growth rate for next 2 years( g_1 )=38.00%

D_1=\$1.75\times 1.38=\$2.42

D_2=\$2.42\times1.38=\$3.34

Growth after two years will 6% indefinitely

g_2=6\%=\dfrac{6}{100}=0.06

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Estimate of current stock price is

=\dfrac{D_1}{(1+r)}+\dfrac{D_2}{(1+r)^{2}}+\dfrac{\dfrac{D_3}{(r-g_2)}}{(1-r)^{3}}

=\dfrac{\$2.42}{(1.12)}+\dfrac{\$3.34}{(1.12)^{2}}+\dfrac{\dfrac{\$3.54}{(0.12-0.06)}}{(1.12)^{3}}

=$46.84

Estimate of current stock price is =$46.84

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Step-by-step explanation:

So we would have to multiply the "2x - 8" by 5 each resulting in 10x - 40 + 15. Then we subtract which results in 10x - 25 = - 15. We add 25 to 25 and 15 resulting in 10x = 10. We divide each by 10 which results in x = 1.

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