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Sauron [17]
2 years ago
15

The total number of photos on Hannah's camera is a linear

Mathematics
2 answers:
Klio2033 [76]2 years ago
8 0

Answer:

The linear function is y = 44 + 24x

The rate of change of the linear function is 44.

Step-by-step explanation:

Hannah already had 44 photos in her camera so this is the initial value of the linear function.

She took 24 photos each day for 6 days. Which means she took:

24 x 6 = 144 photos in those 6 days.

We multiplied 24 with the number of days she took the photos so, considering 'x' as the number of days we can write '24x' to represent the number of photos she took. the linear function can be represented as:

y = 44 + 24x

To find out the rate of change, we need to differentiate this equation. So,

\frac{dy}{dx} = 44

The rate of change of the linear function is 44.

bazaltina [42]2 years ago
8 0

Answer:

44

Step-by-step explanation:

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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
What do the differences between the points (as shown on the graph) represent?
Mekhanik [1.2K]

Answer:

They represent the rise and run of the graph.

Step-by-step explanation:

<em>The difference between the x-axis of the points represents the "run" of the graph (or how much you should run along x-axis to get to the next point.)</em>

<em>The difference between the y-axis of of the points represents the "rise" of the graph (or how much you should rise up the y-xis to get to the next point).</em>

The ratio of rise to run is the slope of the graph, which tells us  how many steps should we take on the y-axis for every step we move forward on the x-axis.

8 0
2 years ago
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A warehouse store sells 4.5​-ounce cans of tuna in packages of 3. A package of 3 cans costs ​$4.32. The store also sells 3.5​-ou
disa [49]

Answer:

The 6.5​-ounce cans offer the largest size at a fair cost and is the best to buy.

Step-by-step explanation:

Size of the 4.5​-ounce cans of tuna in package = 4.5 × 3 = 13.5 ounce

Cost of the package= ​$4.32

Size of the 3.5​-ounce cans = 3.5 × 4 = 14 ounce

Cost of the package= ​$3.92

Size of the 6.5​-ounce cans = 6.5 × 5 = 32.5 ounce

Cost of the package= ​$9.75

The 6.5​-ounce cans offer the largest size and is the best to buy.

7 0
1 year ago
The population of a species is modeled by the equation p(t)=-t^4+72t^2+225, where t is the number of years. find the approximate
Shtirlitz [24]

Answer:

The approximate number of years until the species is extinct will be 9 years

Step-by-step explanation:

We are given

The population of a species is modeled by the equation

p(t)=-t^4+72t^2+225

where

t is the number of years

we have to find time when species extinct

we know that any species will be extinct only if population of that species becomes 0

so, we can set P(t)=0

and then we can solve for t

p(t)=-t^4+72t^2+225=0

we can factor it

(t^2+3)(t^2-75)=0

(t^2+3)=0

we get t value as imaginary for this equation

(t^2-75)=0

t=\sqrt{75}

t=8.660

So,

the approximate number of years until the species is extinct will be 9 years

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