A robotics company sells robot vacuum cleaners. Since the newest model was introduced a
while back, the old model has seen its sales fall by a consistent 30% per month. If 8,400 old
vacuum cleaners were sold this month, how many will be sold 3 months from now?

Answers

Answer 1
Answer : 2,881.2 vacuum cleaners will be sold three months from now.

Steps:
8400*0.7=5880 -> 1 month from now (It’s 0.7 because it decreases by 30% so 70% will remain)
5880*0.7= 4116 -> 2 months from now
4116*0.7= 2881.2 -> 3 months from now


*note that this solution is based on the assumption that the 30% refers to it decreases by 30% of the previous months amount of vacuum cleaners sold, and not the amount of vacuum cleaners sold this month. If it were based on the amount of vacuum cleaners sold this month, the answer would be 840. (8400*0.1)




Related Questions

What is the exponential function (0,25) (1,50) (2,100) (3,200) (4,400)

Answers

Answer:

Step-by-step explanation:

If it is exponential dividing any term by the preceding term will be a constant, the common ratio or rate. 50/25=100/50...=2 The initial value, a, (at x=0) is 25 so the general form is

y=ar^x we have a=25 and r=2 so

y=25(2^x)

A ship leaves the Port of Miami and travels due east toward the Bahamas for 3 miles. The ship turns due south and travels for some distance. The captain then looks back and determines that the ship is directly 10 miles from the starting point at the Port of Miami. How many miles did the ship travel south before the captain checked the distance to the Port of Miami? Round your answer to the nearest tenth. the

Answers

The answer is to the question is 20.1

A model of a statue has a height of 4 cm. The volume of the model is 12 cm3 . 3 The volume of the statue is 40 500 cm

Answers

Answer:Pencil, pen, ruler, protractor, pair of compasses and eraser ... Work out the volume of prism B. me x3' (X27). 15X27 = 405. 405 ..cm3 ... 3. Below are two similar parallelograms. X1.5. 4cm / A /. 6cm. B. The area of ... bon Area: 120 cm? 3 ... Two clay models of the Statue of Liberty are mathematically similar.

Step-by-step explanation:

Sorry If It Dont Help But It Helped Meh...Come Back To Meh If Its Wrong‍♀️....

What is the volume of this prism? ​

Answers

Answer:

160 u^3

Step-by-step explanation:

For the sake of ease, I will split this prism into 2 prisms. One prism will be 2x4x5 while the second one will be 4x5x6. The volume of the prism will be the sum of the volume of both prisms.

Prism A: Volume would be lwh or 2*4*5=40

Prism B: Volume would also be lwh which is 4*5*6=120

40+120=160

The volume is 160 units^3

Hope this is correct and helps!

A patient who originally weighed 340 pounds lost 60 pounds. What percent of his original weight did he lose?

Answers

Answer:

82.35%

Step-by-step explanation:

60 divided by 340=0.17647058823

Multiply that by 100 and you get 17.647058823

Next, round and you get 17.65

100-17.65=82.35

Help pls!!! question in the picture!!!

Answers

Answer:

The Y intercept is two

Step-by-step explanation:

The y intercept is the point on a graph where the graph crosses the y axis.

Basically, it is the value of y when x is 0 is (x,y)

Looking at the attached graph, our y intercept is (0,2), meaning that the y-intercept is 2.

The answer is: the Y-INTERCEPT is 2

What’s n=
In this problem

Answers

Answer:

90

Step-by-step explanation:

I'm not sure It looks like it would be a 90 degree angle. Plz let me know im really sorry if its wrong.

A spinner was spun 60 times and landed on the Number five 25 times. If the spinner is spun several times again, what is the probability that it will land on Number five? Round your answer to the nearest whole number.

Answers

Answer:

29.411 = 29

Step-by-step explanation:

ill mark brainlist plss help

Answers

Answer:

100 by 190 in.

Step-by-step explanation:

Hope this helps!

Lmk if you have any questions!

Have a great day! :)

Answer:

100 by 190 in.

Step-by-step explanation:

Ratios are only equal if both numbers are divided by the same number.

10 : 19 = (10 × 10) : (19 × 10)

10 : 19 = 100 : 190

You have not mentioned if there is more than one answer so lets check the rest:

10 : 19 = (10 × 10.7) : (19 × 10 and 3/19)

10 : 19 ≠ 107 : 193

10 : 19 = (10 × 10.7) : (19 × 10)

10 : 19 ≠ 107 : 190

10 : 19 = (10 × 10) : (19 × 10 and 3/19)

10 : 19 ≠ 100 : 193

Matsu walks 2 blocks west from the police station and then walks 3 blocks north. Give the coordinates of the place where he stops

Answers

(2,-3) I say this because north is always negative so that or if that’s not an option make the -3 a positive

Which expression represents all the solutions to the inequality
3(2x - 8) > 4x + 26?

Answers

Answer:

x > 25

Step-by-step explanation:

3(2x−8)>4x+26

Step 1: Simplify both sides of the inequality.

6x−24>4x+26

Step 2: Subtract 4x from both sides.

6x−24−4x>4x+26−4x

2x−24>26

Step 3: Add 24 to both sides.

2x−24+24>26+24

2x>50

Step 4: Divide both sides by 2.

2x

2

>

50

2

x>25

The equation below describes a proportional relationship between x and y. What is the constant of proportionality?
y= 3/8x

The constant of proportionality is ___. ​

Answers

Answer:

y= 7/3

Step-by-step explanation:

21) Two functions each have an initial value of 1. One function is linear and has a slope of 10

while the other function is exponential with a growth factor of 1.1.

A) At what x-value does the exponential function's output exceed the linear?

Answers

Answer:

A) x = 68.55

Step-by-step explanation:

The initial value of a function can be the value of the function when x = 0.

So we have a linear equation:

f(x) = a*x + b

with a slope of 10, then:

f(x) = 10*x + b

and we know that:

f(0) = 1 = 10*0 + b

        1 = b

Then the linear function is:

f(x) = 10*x + 1

And we have an exponential function g(x)

A general expoential function is written as:

A*(r)^x

where r is the growth factor, here we know that it is equal to 1.1

Then:

g(x) = A*(1.1)^x

And we know that:

g(0) = 1, then:

A*(1.1)^0 = A*1 = 1

Then A = 1

g(x) = (1.1)^x

So our two functions are:

f(x) = 10*x + 1

g(x) = (1.1)^x

We want to find the value of x such that the exponential function's output exceeds the linear one. This is kinda hard to do analytically, so we can do it graphically.

Below you can see the graphs of both functions, where we can see that for x = 68.55, the exponential function's output exceeds the one of the linear function.

If we want to find the point analytically, we need to solve:

10*x + 1 = (1.1)^x

Which is a transcendental equation, which means that can not be solved in close form. So usually we solve them graphically.

Here we can also check that for the found value:

g(68.55) = (1.1)^68.55 = 687

f(68.55) = 10*68.55 + 1 = 685.6

So this is not the exact value at which g(x) overcomes f(x), but is a good approximation.

Bill has fruit trees on his farm, and 42 of them are apple trees. If apple trees represent 35% of all his fruit trees, how many total fruit trees dose he have? ​

Answers

Answer:

Step-by-step explanation:

t(35/100)=42

35t=4200

t=120

So there is a total of 120 fruit trees.

Answer:

Its 35.72

Step-by-step explination

couldn't insert a photo sorry, Iwas going to, but it wouldn't let me

Someone please answer this! THANKSSSS

Answers

Answer:

in right angled triangle MNO

relationship between base and hypotenuse is given by cos angle

cosx°=b/h

cosx°=OM/MN

x°=cos-1(26/99)=74.77=74.8°

Answer:

∠ M ≈ 74.8°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos M = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{OM}{MN}[/tex] = [tex]\frac{26}{99}[/tex] , then

∠ M = [tex]cos^{-1}[/tex] ([tex]\frac{26}{99}[/tex] ) ≈ 74.8° ( to the nearest tenth )

find the solutions for w​

Answers

Calculation:

(Length) (width) (height)

(2w+4) (w) (18-w) = 1152

(2w^2+4w) (18-w) = 1152

Distributive property:

36w^2 -2w^3+72w-4w^2 =1152

Remember to use FOIL method:

-2w^3 +32w^2+72w-1152 =0

Like terms:

-2(w^3-16w^2-36w+576) = 0

Factor it by 2:

w^3 -16w^2-36w+576 =0

Simplify:

w^2(w-16)-36(w-16) =0

(w^2-36) (w-16) = 0

w= -6,6,16

Width:

w = 6,16

Since width is 16, then the height should be less than the width (18-16=2)

Length of gift bag: 2(6)+4

=16 inches.

Width of the bag: 6

Height of the bag: 18-6

12 inches.

Answer: 16, 6 and 12 inches.

If the terminal side of angle θ , in standard position, passes through the point (16,63)


What is the numerical value of sin θ ?


What is the numerical value of cos θ ?

Answers

Answer:

Step-by-step explanation:

sinθ = 63/√(16² + 63²) = 63/65

cosθ = 16/65

How many people were in the sample?



45
90
5
10

Answers

10

The x’s represent just the people, and because the bottom line only represents time it doesn’t affect the amount of people.
I’m not that sure if the numbers you provided are the ones I am supposed to be adding or the x’s in the graph but here’s an answer for both

Numbers: 150
X:10

If I didn’t understand what to add, please let me know


What is the measure of ZXZY?

Answers

Answer:

measure of angle XZY = 52 degrees

Step-by-step explanation:

The sum of measure of angles of a circle is 360 degrees.

therefore, m(arc XY) = 360 - (110 + 146)

m(arc XY) = 360 - 256

= 104 degrees

angle XZY is an inscribed angle.

By the inscribed angle theorem, the measure of an inscribed angle is half the measure of the intercepted arc.

So, m( angle XZY) = 1/2 * 104

= 52 degrees.

Helpppppppeeeeeeppepepeeeeee

Answers

Answer:

21

Step-by-step explanation: hoped I helped

im stuck on this question

Answers

Answer: f

Step-by-step explanation: I chose f because m=29.57 which is is the starting point

I NEED HHELLLPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

10.6

Step-by-step explanation:

Answer:

x = 122°

Step-by-step explanation:

since it is a right triangle, the sum of the other 2 interior angles = 90°

the angle opposite x = 90° - 32° = 58°

58° and angle x are supplementary angles. Their sum is 180°.

180° - 58° = 122°

A triangle has sides of lengths 9,7, and 12. Is it a right triangle? Explain.
no: 92 + 7 + 122
O yes: 92 + 72 122
O no: 92 + 7 = 122
yes: 92 + 7 = 122

Answers

Answer: No, it is not a right triangle.

Explanation:
9^2 + 7^2 (?) 12^2

81 + 49 (?) 144

130 = 144

Since 12^2 = 144, and the square root of 130 is 11.4^2, it is not a right triangle.

what is pi and how invented it??

Answers

Answer:

Step-by-step explanation:

The Egyptians calculated the area of a circle by a formula that gave the approximate value of 3.1605 for π. The first calculation of π was done by Archimedes of Syracuse (287–212 BC), one of the greatest mathematicians of the ancient world.

Answer:

π is a mathematical constant. Its commonly used value is 3.14. There is a expanded value for π. It appears in many formulas in all areas of mathematics and physics. In maths, it is commonly used for solving of circles and spheres.

The π was invented by Archimedes of Syracuse. He was one of the greatest mathematicians of the ancient world.

PLEASE HELP HURRY
Tina is planning to paint a wood box. She is using small paint cans
that cover 20 square feet of surface area. How many cans will Tina need in order
to paint the outside of her wood box? Answer without units.
3 ft.
3 ft.
8 ft.

Answers

Answer:

6 cans.

Step-by-step explanation:

total of 114 square foot of surface area

I have to show a picture and dont know how

Answers

Answer:

there should be clip under the text box

Step-by-step explanation:

Explain why cos E
-
СВ/AB

Answers

Answer:

Note that the three identities above all involve squaring and the number 1.You can see the Pythagorean-Theorom relationship clearly if you consider the unit circle, where the angle is t, the "opposite" side is sin(t) = y, the "adjacent" side is cos(t) = x, and the hypotenuse is 1.. We have additional identities related to the functional status of the trig ratios:

Step-by-step explanation:

What 2 numbers have a sum of 19 and difference of 9

Answers

Step-by-step explanation:

The two numbers having a sum of 19 and difference of 9 is

14 and 5

14 + 5 = 19

14 - 5 = 9

Hope it will help :)

Answer:

14 and 5

Step-by-step explanation:

-#--#--2-#--$--#6*363282873737282

Find the height of a triangle in which base is 25cm and
area is 200cm2.

Answers

Answer:

16

Step-by-step explanation:

(200*2)/25=16


HELP PLEASE!
Find the volume of cylinder,
4in

A) 887.9
B) 904.06
C) 15,509.3
D) 21,237.2

Answers

Answer:

D) 21,237.2

Step-by-step explanation:

V= πr^2h

D= 26

r= 13

V= π13^2(40)

V = 169(40)π

V = 6760π

V = 21226.4

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