Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. after 12 hours of burning, a candle has a height of 19.8 centimeters. after 27 hours of burning, its height is 18.3 centimeters. what is the height of the candle after 22 hours?

The height of candle becomes 18.8 cm after 22 hours.

Step-by-step explanation:

Since we have given that

After 12 hours of burning, a candle has a height of 19.8 centimeters.

and

After 27 hours of burning, its height is 18.3 centimeters.

Let x coordinate represents the number of hours and y coordinate represents the height.

So, we have (12,19.8) and (27,18.3)

So, the equation of line becomes,

So, After 22 hours, height of the candle becomes,

Hence, the height of candle becomes 18.8 cm after 22 hours.

$4034.40

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40

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%