A small company has $8,250,000 in (annual) revenue, spends 49% of its revenues on purchases, and has a net profit margin of 8. 5%. They would like to increase their profits and they are looking at focusing in one of two directions. First, they think they can save 2. 05% on their purchase expenses. Or second, they can focus on increasing sales. By how many dollars would they have to increase sales in order to equal a 2. 05% savings to purchasing expenses? (Display your answer as a whole number. )

Answers

Answer 1

as far as I can read that, well, the company has a revenue income of 8250000 and their expenditure on purchases is 49% of that amount, how much is that?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{49\% of 8250000}}{\left( \cfrac{49}{100} \right)8250000}\implies 4042500[/tex]

so on saving 2.05% of purchasing expenses or namely 2.05% of 4042500

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{2.05\% of 4042500}}{\left( \cfrac{2.05}{100} \right)4042500}\implies 82871.25[/tex]

so sales must be increased by that much in order to match the 2.05% of 4042500.


Related Questions

a triangle has angle measurements of 61°, 84°, and 35°. is this triangle isosceles?

Answers

Answer: No

Step-by-step explanation:

This is not an isosceles triangle because there are different angle measurements. The rule of an isosceles triangle is that it must always have two equal sides and angles.

Complete the coordinates using the given equation

Y=3x+3
X=5

Answers

Answer:

(5,18)

Step-by-step explanation:

Plug in the X value into the Y equation,

Y=3(5) +3

Y=15 +3

Y=18

Then format your results as coordinates in the standard (X,Y) format

(X,Y)

(5,Y)

(5,18)

The complete coordinates is (5, 18)
3(5)= 15 + 3 = 18

Which equation describes how the parent function, y = x cubed, is vertically stretched by a factor of 4? y = x cubed 4 y = (x 4) cubed y = 4 x cubed y = x superscript 4

Answers

The required function when the parent function is stretched comes to be [tex]f(x)=x^{3} +4[/tex].

The parent function is:

[tex]f(x)=x^3[/tex]

How vertical translation of the graph of a function takes place?

If a function f(x) is vertically translated by k units f(x) becomes f(x)+k where k is positive.

Given function [tex]f(x)=x^3[/tex] is vertically shifted by 4 units

So, f(x) will become f(x)+4

[tex]f(x)+4 = x^{3} +4[/tex]

So, the required function is [tex]f(x)=x^{3} +4[/tex]

Therefore, the required function when the parent function is stretched comes to be [tex]f(x)=x^{3} +4[/tex].

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Answer:

A

Step-by-step explanation:

edge, 2022

write the equation of the blue line using slope intercept form (y=mx+b)

Answers

Answer:

Step-by-step explanation:

X1=-4

Y1=7

X2=-3

Y2=6

(-2,0 ) X INTERCEPT

(0,-7)Y INTERCEPT OR B

M=6-7/-3+4

M=_1

Y=-1X+-7

Mai's family is traveling in a car at a constant speed of 65 miles per hour.

a. At that speed, how long will it take them to travel 195 miles?


b. How far do they travel in 30 minutes?

Answers

Answer:

a) 3 hr    b  )  32.5 miles

Step-by-step explanation:

195 m / 65 m/hr = 3 hr

65 m/hr  *  1/2 hr = 32.5 miles

Lily wants to do fencing around a circular garden that has a radius of 70m. If the cost of fencing is $12 per meter, find the total cost of fencing for the entire garden (use pi=22/7

Answers

Answer:

$5280

Step-by-step explanation:

Since the radius of the circle is 70m, the perimeter or circumference of the circle is 2πr --> 2 * 70 * 22/7 which is 440 meters. Since each meter of fencing costs $12, the total cost of the fencing is $5280

The school band sells carnations on Valentine's Day for $3 each. It buys the carnations from a florist for $0.50 each, plus a $15 delivery charge. When will the cost of the carnations be equal to the revenue from selling them? How many carnations does it need to sell to reach this point?

The cost of the carnations will be equal to the revenue when it has sold
_______ carnations. It will reach this point after it sells ______carnations.

Answers

Answer:

6 carnations

Step-by-step explanation:

0.5x +15 = 3x

x = 6

The exponential function f is given by f(x) = 3x. by what factor does f increase when the exponent x increases by 2? explain how you know. a 3 b 6 c 9 d 12

Answers

The exponential function f(x) = 3^x, when x has a value of 2 increases by 9.

What is an exponential function?

An exponential function is a function that is in the form: m = ab^x

Where:

a = initial value b = rate of increase x = number of years

F(x) = 3^x

3^2 = 9

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In the parallelogram shown, find the measure of ∠A.

Answers

Answer: 40 degrees

Step-by-step explanation:

Beverly's average mark for nine examination papers was 89.5. How many marks did she score altogether?​

Answers

Answer:

805.5 out of 900

Step-by-step explanation:

A test is out of 100 and because there are 9 tests: 9 x 100 which equals 900.

To get the average we add up each test mark and divide by the number of tests. The same can be applied here but reversed. So because there were 9 tests we can multiply 89.5 by 9 which gives us 805.5. Beverly scored 805.5 marks out of 900 which makes her average 89.5% for 9 tests.

Altitude is the height in relation to sea level. Umar walks from a valley to a hilltop. The valley has an altitude of -32 1/2 feet. The hilltop has an altitude of 85 3/4 feet. What is the altitude change from the valley to the hilltop?

Answers

Answer:

118.25

Step-by-step explanation:

(4x - 6)
(x+6y)”
Solve for y

Answers

Hey there!


(4x - 6)(x + 6y)

= (4x - 6)(1x + 6y)

= 4x(1x) + 4x(6y) - 6(1x) - 6(6y)

= 4x^2 + 24xy - 6x - 36y


Therefore, your answer is:

4x^2 + 24xy - 6x - 36y


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

fasttt please 6,132 ÷ 10³ =

Answers

Answer:

6.132

Step-by-step explanation:

please mark me the brainiest

The answer is 6.312 …..

Find the area of this triangle. round to the nearest tenth.

Answers

Answer:

67.5ft²

Step-by-step explanation:

1/2xhxb

1/2x9x15

4.5x15

67.5ft²

Hope this helps!!!!

I need help on this question

Answers

Answer:

0.007 kg

Step-by-step explanation:

[tex]1000\ grams=1\ kg\\ 7\ grams=0.007\ kg\\ Check\ conversion[/tex]

I hope this helps you

:)

One winter, a group of students measured snowfall totals at their school. This
chart shows how many inches of snow the students measured each month.
How much total snowfall did they receive at their school that winter?D
MONTH
SNOWFALL
December 3.3
January 10.6
February 2.5
Help pls

Answers

Answer:

The answer is 16.4 inches

Step-by-step explanation:

The result is calculated by adding all the values together. 3.3+10.6+2.5=16.4

Jestions: 5
5. Which of the following fractions makes this statement true?
4
12
er
3
7
dio
2
7
4.
5
panol
7
12

Answers

Answer:

I believe 2/7

Step-by-step explanation:

When you make them the same denominator they look like 48/84 > 24/84 and that's how you get the answer

What is the area of a square with vertices: G(1, 0), O(5, 2), A(3, 6) and T(-1, 4)? Show your work!

Answers

By finding the side length of the square, we will see that the area is 20 square units.

How to get the area of a square?

For a square of side length S, the area is:

A = S^2

In this case, the side length of the square will be the distance between two consecutive vertices, so we can say that S is the distance between points G and O.

Remember that the distance between two points (x₁, y₁) and (x₂. y₂) is:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

So the distance between the points G(1, 0) and O(5, 2) is:

[tex]S = \sqrt{(5 - 1)^2 + (2 - 0)^2} = \sqrt{20}[/tex]

Then the area of this square is:

[tex]A = S^2 = (\sqrt{20})^2 = 20[/tex]

The area is 20 square units.

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to the Kansas River Crossing.

Last year the depth of the river was 4.2 feet deep.

This year it dropped 17%.

Find the depth of the river this year to cross it.

Answers

Answer:

3.486 feet (1.06 m) or 3 feet (0.91 m) five inches

Step-by-step explanation:

17 percent of 4.2 is 0.714 and 4.2–0.714 is 3.486

Step-by-step explanation:

show work pls hahhhh

Answers

Answer:

27

Step-by-step explanation:

[tex]\frac{3^2\left(2^3+4\right)}{2^2}[/tex]

[tex]\mathrm{Solve\;3^2\cdot(2^3+4):108}[/tex]

[tex]\mathrm{Solve\;2^2:4}[/tex]

[tex]=\frac{108}{4}[/tex]

[tex]\mathrm{Divide\:the\:numbers:}\:\frac{108}{4}=27[/tex]

~Lenvy~

4x^2 - y^2 - 2x- y

Factorise each of the following expressions completely

Answers

Answer:

(2x + y)(2x - y - 1)

Step-by-step explanation:

4x² - y² - 2x - y

4x² - y² is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

4x² - y²

= (2x)² - y²

= (2x - y)(2x + y)

expression is now

(2x - y)(2x + y) - (2x + y) ← factor out (2x + y) from each term

= (2x + y)(2x - y - 1)

What is the length of the line segment whose endpoints are A(-1,9) and B(7,4) in the simplest radical form?

Answers

length : [tex]\sf \sqrt{89}[/tex]

Explanation:

use the distance formula : [tex]\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

using the formula:

[tex]\sf \rightarrow \sf \sf \sqrt{(7--1)^2+(4-9)^2}[/tex]

[tex]\sf \rightarrow \sf \sf \sqrt{(8)^2+(-5)^2}[/tex]

[tex]\sf \rightarrow \sf \sf \sqrt{64+25}[/tex]

[tex]\sf \rightarrow \sf \sf \sqrt{89}[/tex]

Answer:

[tex]\sf \sqrt{89}[/tex]

Step-by-step explanation:

Let A = [tex]\sf (x_1,y_1)[/tex] = (-1, 9)

Let B = [tex]\sf (x_2,y_2)[/tex] = (7, 4)

Distance formula:

[tex]\sf d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Input values into the distance formula and solve for d:

[tex]\sf \implies d=\sqrt{(7-(-1))^2+(4-9)^2}[/tex]

[tex]\sf \implies d=\sqrt{8^2+(-5)^2}[/tex]

[tex]\sf \implies d=\sqrt{64+25}[/tex]

[tex]\sf \implies d=\sqrt{89}[/tex]

At the start of a science experiment, the temperature is 10 degrees Celsius. If the temperature decreases by a constant rate of 3 degrees Celsius each minute, what will be the temperature, in degrees Celsius, after 5 minutes?

Answers

Answer:

-5°C

Step-by-step explanation:

Let T1 be the temperature at the start of the experiment.

We know, T1 = 10°C

Rate of decrease in temperature = 3°C per minute.

Total temperature decreased after 5 minutes (T2) = (3*5)°C

= 15°C

The final temperature (T) = T1 - T2 = 10°C - 15°C = -5°C

This one is hard! try your best please.
A box contains 9 identical glass spheres that are used to make snow globes. The spheres are tightly packed, as shown below.

Answers

Answer:

1. 301.6 [tex]in^{3}[/tex]

2. 576 [tex]in^{3}[/tex]

3. 274.41 [tex]in^{3}[/tex]

Step-by-step explanation:

We know that the diameter of one of the spheres must be 4 in, because the length of the box is 12 in and there are 3 spheres along each side, and [tex]\frac{12}{3} =4[/tex]. That means that the radius of a sphere is 2 in. Put 2 into the formula for the volume of a sphere, and then multiply your solution by 9, to get the total volume.

Then, you can find the volume of the box, because you know its dimentions are 12x12x4.

Subtract your answer for part 1 from your answer for part 2, and you have the solution to part 3. Hope this helps!! :-)

please helpppp pleaseee

Answers

а. 5

b. 180(5-3)=540

,..,,..,.,.,

The Books Galore bookstore made 3 different orders for The Number Book. The ratio
of the amount of books sold and the price of each book is a fixed number. The table
shows their 3 orders.
Book Order Total Cost
212
S665.68
?
S1450.68
375
Part A
What is the number of books ordered for a purchase of $1450.68?
0453
O 456
O 462
465
13 14 15
16
17 18 19 20

Answers

3000 because the statement says

Pls help me solve this

Answers

30 red, 45 brown, 51 Orange, 39 yellow.
You need to add together the 4 numbers in the chart 10+15+17+13=55 then you do 10/55=0.1818... then times by 165 and do this for the other numbers as well.

Point K is shown on the number line below .
Which number sentence BEST describes the value represented by point K?

Answers

Answer: B. K < 13. K is 12.5, 12.5 is less than 13

1. Its not D because at the ending points of the number line; 10-20, which is less than 30.

2 It is not C because K is not on 15

3 It is not A because 12.5 is less than 13.

Hope it helps!!

Please help :)))))))))))

Answers

Answer:

Your answer is C and D

Step-by-step explanation:

Answer:

D. y = -x - 1

Step-by-step explanation:

   We are using slope-intercept form for this problem.

   Since this line is going from upper left to bottom right we know it will have a negative slope.

   The line intersects the y-axis at -1, so the b value is -1.

             The equation for this line is D. y = -x - 1

Aiden has 15 pieces of candy in a brown paper bag. 3 are candy bars, 2 are gum, 4 are mints, 5 are chewy candies and 1 is a lollipop. What is the probability that he reaches in, grabs a candy bar or chewy candy, eats it and then grabs a piece of gum?



When typing in your answer, enter it as a fraction, such as 1/2. Simplify your answer.

8/?

Answers

Answer: 3/10

Step-by-step explanation: so you add 15+3+2+4+5+1 and that is 30 then you simplify 30 and get 3/10

Probability of candy bar 1/5
Probability of chewy candy 1/3
Probability of piece of gums 2/15
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