Your cell phone plan charges you $.02 to send a text message and $.07 to recieve a text message. You plan to spend no more than $5 a month text messaging.
a. Write an equation in standard form that models the possible combinations of sent text messages and received text messages.
b. Graph the equation from part (a). Explain what the intercepts of the graph mean in this situation.
c. List three other possible combinations of the number of messages you can send and receive.

(a)

(b) Here the intercept means that we pay more than for each text message received

(c) 145 text messages sent and 30 messages received

75 text messages sent and 50 messages received

180 text messages sent and 20 messages received

Step-by-step explanation:

Here we have

X×0.02 + Y×0.07 = 5

Therefore the equation is

b. Here the intercept means that we pay more than for each text message received

c. Other combinations are

145 text messages sent and 30 messages received

75 text messages sent and 50 messages received

180 text messages sent and 20 messages received.

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%

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b