Suppose nike stock is selling at $73 a share and kellogg stock is selling at $38 a share. mike moussa has a maximum of $10,000 to invest. he wishes to purchase 5 times as many shares of kellogg as of nike. only whole shares of stock can be purchased.

The maximum number of Nike shares Mike can buy is 38 and the maximum number of Kellogg shares is 190

Step-by-step explanation:

Let

x -----> the number of shares of Nike stock

y ----> the number of shares of Kellogg stock

we know that

-----> inequality A

-----> equation B

substitute equation B in the inequality A

The maximum number of shares of Nike stock is 38

Find out the maximum number of shares of Kellogg stock

therefore

The maximum number of Nike shares Mike can buy is 38 and the maximum number of Kellogg shares is 190

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

vwhat effect does the word head have on the meaning of this passage?

a. it demonstrates how intelligent he was.

b. it shows he was a favorite of the teachers.

c. it indicates he would be a good preacher.

d. it reveals how self-important he was.

how does the choice of the word head contribute to the passage’s tone?

a. it offers a sense of entitlement.

step-by-step explanation: