Atree casts a 26-ft shadow. a boy stands nearby casts a 12-ft shadow, forming similar triangles. his height is 4.5 for how tall is the tree

9.75 ft

Since the triangles formed by the heights and shadows, the ratios of corresponding sides are equal.

the corresponding sides are the heights and the lengths of the shadows

let h be the height of the tree, then

= ( cross- multiply )

12h = 4.5 × 26 = 117 ( divide both sides by 12 )

h = 9.75

hence the height of the tree is 9.75 ft

if you are saying purchasing 3 social media ads and one newspaper ad counts as one purchase then there are:

6 purchases

if you are asking how many of each then:

18 social media ads

6 newspaper ads

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%