Eagle Sports Supply had net income of $2,000 on sales this year. The firm paid a dividend of $500 and retained the rest earnings for financing for the next year. Total assets were $100,000, of which $40,000 was financed by debt. The rest were financed by equity.

(a) What is the firm’s internal growth rate?
(b) What is the firm’s sustainable growth rate?
(c) If the firm grows at its sustainable growth rate, how much new debt will be issued in the next year?

Answer:

The correct answer is 8 fluid ounces per cup.

Step-by-step explanation:

To solve this problem, we need to divide the total amount of grape juice that Emma has (40 fl oz) by the number of cups she is pouring the juice into (5).

40 oz total/5 cups = 8 oz/cup

Therefore, each cup contains 8 fl oz.

Hope this helps!

Answer:

9:6

Step-by-step explanation:

boys= 9 teammates

girls= 6 teammates

its 2 because 2plus is 2

Answer:

A. 86.64%

B. 80

C. y(t)= 80[tex]e^{0.8664t}[/tex]

D. y(5.5) = 9388

E. y(t) = 8134 bacteria for every hour

F.  8.28 hours

Step-by-step explanation:

a. The bacteria count after 4 hours y(4) = 2560

The bacteria count after 12 hours y(12) = 2621440

equation 1: ye^4k = 2560

equation 2: ye^12k= 2621440

divide (2) by (1),

e^8k = 1024

Taking ln both sides:

ln(e8k ) = ln(1024)

8k = 6.931

k=0.8664      // after dividing both sides by 8

rate of growth k% = 0.8664*100 = 86.64%

b. substituting for k in equation 2:

   ye^4*0.8664 = 2560

   Initial bacteria count y(4) = 80

c. y(t)= 80e^0.8664t

d. the number of bacteria after 5.5 hours => y(5.5) = 80[tex]e^{0.8664(5.5)}[/tex] ≈ 9388

e. y'(5.5) = 80*0.8664e^0.8664(5.5) = 69.31e^0.8664(5.5) = 8134

f. for bacteria population = 104000

where ye^0.8664t = 104000

   y = 80

   80e^0.8664t = 104000    //divide both sides by 80

   e^0.8664t = 1300

   ln(e^0.8664t = ln(1300)

   t = 7.17 / 0.8664 = 8.28 hours

Answer:

23

Step-by-step explanation:

Here is the complete question

Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at (1, 0, -3), (1, 2, 4), and (5, 1, 0).

Solution

We find the volume of the parallelepiped by making a 3 × 3 column matrix whose columns are the corresponding coordinates of the vertices of the parallelepiped.

So, (1, 0, -3), (1, 2, 4)  and (5, 1, 0)

[tex]A = \left[\begin{array}{ccc}1&1&5\\0&2&1\\-3&4&0\end{array}\right][/tex]

The determinant of A is the volume of the parallelepiped. So,

detA = 1(2 × 0 - 4 × 1) - 1(0 × 0 - (-3) × 1) + 5(0 × 4 - (-3) × 2)

= 1(0 - 4) - 1(0 + 3) + 5(0 + 6)

= 1(-4) - 1(3) + 5(6)

= -4 - 3 + 30

= 23

So the volume of the parallelepiped is 23

Answer:

two map squares ☺️☺️☺️☺️

Answer:

h represents the Venn diagram for the above question

Answer:

first

put the value of p(10) in the place n,

2-multiply -8×10^2+9×10

3-:- -8×100+90

4:-800+90=710ans

Answer:

Option B

Step-by-step explanation:

Domain of a function is represented by the set input values or x-values

Range of the function is represented by the set of output values or y-values.

From the graph attached,

y-values are varying from y = - 9 to y = 8.

Therefore, range of the function from the given graph will be,

-9 ≤ y ≤ 8

Option B will be the correct option.

Answer:

no trend

a positive trend would start in the bottom left and go toward the top right

a negative trend would start at the top left and go town the bottom right

this is an example of no trend

Step-by-step explanation:

a "trend" shows an increasing or decreasing relationship between the x and y values, in this they don't have any sort of relationship. you can tell by the repeating y values for multiple different x-values, or the repeating x-values for multiple different y-values.

Answer:

36

Step-by-step explanation:

Answer:

4.

Step-by-step explanation:

y = -2x + 3

-1 = -2(2) + 3

-1 = -4 + 3

-1 = -1

y = x - 3

-1 = 2 - 3

-1 = -1

9514 1404 393

Answer:

  343π/6 cm³ ≈ 179.6 cm³

Step-by-step explanation:

The formula for the volume of a sphere is one of the volume formulas worth memorizing. It is ...

  V = (4/3)πr³

For r = 3.5 cm, the volume is ...

  V = (4/3)π(3.5 cm)³ = 343π/6 cm³ ≈ 179.6 cm³

The volume of air in the balloon is about 179.6 cm³.

Answer:

Point Q sry if wrong

Step-by-step explanation:

Answer:

The answer is s

Step-by-step explanation:

It’s called common sense.

Answer:

324

Step-by-step explanation:

Answer:

f(-3) = 25

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 5(2 - x)

f(-3) is x = -3

Step 2: Evaluate

Answer:

50

Step-by-step explanation:

you add 42 and 48 i think

Answer: Problem worked out in picture

Step-by-step explanation:

Merry Christmas

Answer: 392.7

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

1/3

The required value of a is 1/3 for parabola [tex]y = 1/3x^2[/tex].

A parabolic dish with vertex (0,0) at the center, width is 6 inches and depth is 3 inches. y = ax² where a is to be determined.

A parabola is a cross-section cut out of the cone and represented by an equation [tex]y=4ax^2[/tex].

Here,  
Vertex is at the center of the parabolic plate (0,0),
with the help of the width and depth coordinate of the one corner is(3,3).
Now put these coordinates in y = ax²  
3 = a3²
a = 3/3²
a = 1/3

Thus, The required value of a is 1/3 for the parabola [tex]y = 1/3x^2[/tex].

Learn more about parabola here:

brainly.com/question/4074088

#SPJ5

Answer:

-1/2y+1/2x

Step-by-step explanation:

Answer:

5 : 36

There are 36 people in total and only 5 have green shoes.

Answer:

-3-6

Step-by-step explanation:

Answer:

vertex = (- 10, - 10 )

Step-by-step explanation:

The equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square.

Given

h(x) = x² + 20x + 90

add/subtract ( half the coefficient of the x- term )²

h(x) = x² + 2(10)x + 100 - 100 + 90

      = (x + 10)² - 10 ← in vertex form

with (h, k ) = (- 10, - 10 )