Ineed with this algebra question, if someone could explain how to solve this i'd appreciate it.

See the attached picture:

Given equation: 3 + x/2 = 10

1st step subtract 3 from each side:

x/2 = 7

2nd step multiply both sides by 2:

x = 14

Step 1)        

3 + x/2 = 10 This is given

Step 2)

x/2 = 7 Multiplication property of equality.

This step is wrong. This step is called "Subtraction property of equality". This means you have to subtract 3 from both sides

3 + x/2 - 3 = 10 - 3

Simplifying

x/ 2 = 7

Step 3)

x = 14 This is called "Multiplication property of equality" because you multiply both sides by 2.

Hope that helps.

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.

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%