ΔRST and ΔXYZ are equilateral triangles. The ratio of the perimeter of ΔRST to the perimeter of ΔXYZ is 1 to 3. The area of ΔRST is 10.825 square inches. What is the area of ΔXYZ? (round to nearest tenth)

≈ 97.4 in²

Step-by-step explanation:

Given that the ratio of the perimeter = a : b

then ratio of areas = a² : b²

The ratio of perimeter = 1 : 3 , thus

ratio of area = 1² : 3² = 1 : 9

The area of Δ XYZ is therefore 9 times the area of Δ RST

area of Δ XYZ = 9 × 10.825 = 97.425 ≈ 97.4 ( to the nearest tenth )

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%

income. 10x+1300

expenses 3x+(1800+1500)

expenses 3x+3300

to break even:

income = expense,

10x + 1300 = 3x + 3300,

solve for x.

step-by-step explanation:

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