Answer: 16.2%
Step-by-step explanation:
You can find the cost of equity using the Capital Asset Pricing Model (CAPM).
Cost of equity = Risk free rate + Beta * (Expected return on market - Risk free rate)
= 6% + 1.2 * (14.50 - 6%)
= 6% + 10.2%
= 16.2%
Given:
Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books.
To Find:
A system of linear equations represents the situation.
Answer:

Step-by-step explanation:
We are given that x represents the number of fiction books and y is the number of non-fiction books.
We are also given that the total number of books Elliot has is 26 which includes both fiction and non-fiction. So, we may write

Next, we are given that there are 12 more fiction books than non-fiction books. This means, the fiction books are more in number and so, we may write

So, the total system of equations can be represented as

Answer:
3rd Option
Step-by-step explanation:
Which equation is the inverse of y = 7x2 – 10?
y = StartFraction plus-or-minus StartRoot x + 10 EndRoot Over 7 EndFraction
y = plus-or-minus StartRoot StartFraction x + 10 Over 7 EndFraction EndRoot
x = plus-or-minus StartRoot StartFraction x Over 7 EndFraction + 10 EndRoot
y = StartFraction plus-or-minus StartRoot x EndRoot Over 7 EndFraction plus-or-minus StartFraction StartRoot 10 EndRoot Over 7 EndFraction
From the table, the speed of Corinne is given by

From the graph, the speed of Aretha is given by

The distance from the starting point of Corinne at any time t is given by D = 0.125t while the distance from the starting point of Aretha at any time t is given by D = 3.5 + 0.1t
Let t be the number of minutes after the start of the race when Corinne catchs Aretha, then
0.125t = 3.5 + 0.1t
0.025t = 3.5
t = 3.5 / 0.025 = 140
Therefore, the number of <span>minutes after the start of the race that Corinne will catch Aretha</span> is 140 minutes.
Answer:
y=-4/10x+ 5 or y=-0.4x+5
Step-by-step explanation:
The formula for slope is y=mx+b. The "m" is the slope, the "x" is constant, and "b" is your y-intercept.
1. Figure out your slope:
Easiest way to do this is by using rise/run. You. take your point to the left and count how many spaces up or down it is from the second point, and then repeat that across the x-axis.
2. Determine whether it is positive or negative
A line with a positive slope is going to be angled upward and a line with a negative slope will be angled downward
3. Find the y-intercept
Simply look at the graph and find where the line crosses the y-axis
4. Plug everything into the equation
Once you do Steps 1-3, just plug everything in and you're done! If you have any questions, feel free to ask!