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katovenus [111]
2 years ago
8

If i leave my house at 6:52 am and run 1 mile at an easy pace (8:15 per mile), then 3 miles at tempo (7:12 per mile) and 1 mile

at easy pace again, what time do i get home for breakfast?
Mathematics
1 answer:
FinnZ [79.3K]2 years ago
8 0

Running 2 miles at 8:15 per mile takes 16:30 minutes.

Running 3 miles at 7:12 per mile takes 21:36 minutes.

The total running time is 16:30 + 21:36 = 38:06 minutes. That length of time after 6:52 am is 7:30:06 am.

You get home for breakfast at 6 seconds past 7:30 am.

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Peter Johnson, the CFO of Homer Industries, Inc is trying to determine the Weighted Cost of Capital (WACC) based on two differen
Rzqust [24]

Answer:

Scenario 1 has WACC of 7.93%

Scenario 2 has WACC of 10.33%

Step-by-step explanation:

WACC=Ke*E/V+Kp*P/V+Kd(after tax)*D/V

Ke is the cost of equity =13%

Kp is the cost of preferred stock=10%

Kd(after tax) is the cost of debt of 8% adjusted for tax as below:

Kd(after tax )=Kd(before tax)*(1-t)

t is the tax rate of 30% or 0.3

Kd(after tax)=8%*(1-0.3)=5.60%

E is equity value,which is $1.8 million under scenario 1 and $3.8 under scenario 2

P is the value of preferred stock which is $1.2 million and $2.2 million respectively

D is the value of debt which is $5 million and $2 million

V=total value of capital structure=$8 million in both cases.

Scenario 1 WACC

WACC=13%*1.8/8+10%*1.2/8+5.6%*5/8=7.93%

Scenario 2 WACC

WACC=13%*3.8/8+10%*2.2/8+5.6%*2/8=10.33%

7 0
1 year ago
Show one way to count from $82 to $512
Sedaia [141]
<span><u><em>First way:</em></u>
The easiest and simplest way is to <u>count by 1</u> starting from 82 till you reach 512.
<u>This will go as follows:</u>
82, 83, 84, 85, ........... , 510, 511, 512

<u><em>Second way:</em></u>
We can note that the two given numbers are even numbers. This means that the two numbers are divisible by 2.
Therefore, we can <u>count by 2</u> starting from 82 till we reach 512.
<u>This will go as follows:</u>
82, 84, 86, 88, ................... , 508, 510, 512

<u><em>Third way:</em></u>
We can note that the units digit in both numbers is the same (the digit is 2). This means that we can count from 82 till 512 by <u>adding 10 each time</u>.
<u>This will go as follows:</u>
82, 92, 102, 112, ......................, 492, 502, 512

Hope this helps :)</span>
5 0
1 year ago
If DE = 4x + 10, EF = 2x-1, and DF = 9x-15, find DF
Dmitrij [34]
Hello,
<span>We have that:
(4x+10)+(2x-1)=9x-15

</span>We solve the equation:
4x+10+2x-1=9x-15;
6x+9=9x-15;
6x-9x=-15-9;
-3x=-24;
3x=24;

<span>from which
</span>x=24:3=8

<span>Then:
DF=9x-15=(9</span>×8)-15=72-15=57

bye :-)
5 0
2 years ago
Read 2 more answers
A rectangular yard is fenced in using 319 feet of custom fence Your friends really like the fence and decide to fence in their y
Vsevolod [243]

We have been given that a rectangular yard is fenced in using 319 feet of custom fence Your friends really like the fence and decide to fence in their yard using the same fence.  Their yard is similar but has a scale factor of 8/5 times the size of  yours.

We are asked to find the length of fence that your friends should purchase.

Since the size of your friend's yard is \frac{8}{5} times your yard, so your friend should purchase \frac{8}{5} times the 319 feet.

\text{Length of fence your friend should purchase}=\frac{8}{5}\times 319\text{ ft}

\text{Length of fence your friend should purchase}=8\times 63.8\text{ ft}

\text{Length of fence your friend should purchase}=510.4\text{ ft}

Upon rounding our answer to nearest foot, we will get:

\text{Length of fence your friend should purchase}\approx 510\text{ ft}

Therefore, your friends should purchase 510 feet of fence and option C is the correct choice.

5 0
2 years ago
A store makes a profit of $18 on a blanket after a markup of 30%. What is the selling price of the blanket?
Sidana [21]
$23.40 because 18•0.3=5.4 and 18+5.4=23.4.
6 0
2 years ago
Read 2 more answers
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