Carlotta rounded a number to the nearest tenth and got 4.5. when she rounded it to the nearest whole number, she got 5. which of these could be the number she rounded?

4.5 ≤x<4.55

Step-by-step explanation:

for whole number

It has to be 4.5 or greater to round to 5  on the low end

It has to be less than 5.5 to round to 5 on the high end

for tenths

If has to be 4.45 or  greater to round to 4.5 on the low end

It has to be less than 4.55 to round to 4.5

We take the more restrictive limits to define the number

The number must be between

4.5 ≤x<4.55

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%

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute: