Alice’s school has purchased a new $10,000 copier. The copier depreciates in value by 15% every year. The principal will replace the copier when it drops below 10% of its original value.
The inequality 10,000()t < can be used to represent the situation.
The solution set for the inequality is (, ∞).

Answers

Answer 1

Answer:

The inequality 10,000 (0.85)^t < (1,000) can be used to represent the situation.

The solution set for the inequality is (14.168)

Answers: 0.85, 1,000, 14.168

Answer 2

The solution set for the inequality is (15, ∞).

What is depreciation?

The monetary value of an asset decreases over time due to use, wear and tear or obsolescence. This decrease is measured as depreciation.

What is compound interest for depreciation?

If the reduced value of the goods is compounded for fixed time then it is called compound depreciation.

Formula of compound interest for depreciation:

[tex]A = P(1-\frac{r}{100} )^{n}[/tex]

Where,

A= Final Amount

P = initial Principal

n = time in years

r = rate per annum

According to the question

New copier costs (p)  = $10,000

depreciates in value every year (r) =  15%

The principal will replace the copier when it drops below 10% of its original value.

i.e  Final amount should be less than [tex]$10,000 * \frac{10}{100}[/tex]  

A is < $ 1000

Using compound interest formula :

[tex]A = P(1-\frac{r}{100} )^{n}[/tex]

[tex]1000 > 10000(1-\frac{15}{100} )^{n}[/tex]

[tex]0.1 > (0.85 )^{n}[/tex]

n ≈ 14.168

n = after 15years (next whole no)

Hence , The solution set for the inequality is (15, ∞).

To know more about compound interest for depreciation here:

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Related Questions

How should the lines y = -5/4x - 5 and y = x - 10 be described?

a)parallel
b)perpendicular
c)intersecting

Answers

Answer:

The answer is: B.

Step-by-step explanation:

They are prependicular

:)

Points A, B, and C are on line AC. A horizontal line has points A, B, C. A line extends from point B up and to the left to point D. Angle D B C is 140 degrees. Angle CBD has a measure of 140°. What is the measure of angle ABD?
a. 40°
b. 50°
c. 60°
d. 70°

Answers

Answer:40 degrees

Step-by-step explanation:

Answer

A. 40° on e2020

for a certain online store, the distribution of number per hour is approximately normal with mean 1200 purchases and standard deviation 200 purchases. for what proportion of hours will the number of purchases at the online store exceed 1400?
a)5%
b)68%
c)16%
d)32%​

Answers

Answer: 16%

Step-by-step explanation:

When we have a normal distribution, the 100% of our sample will be placed in a "gaussian bell".

Where the middle of this bell coincides with the mean.

The mean, in this case, is 1200, and the standard deviation is 200.

In the image below you can see that between the points.

Mean + standard deviation and the end of the graph, we have:

13.5% + 2.35% + 0.15% = 16%

And particularly, if we want to know the percentage that exceed 1400, will be the same percentage above the mean plus the standard deviation.

mean = 1200

SD = 200

mean + standard deviation = 1200 + 200 = 1400.

Then the percentage that exceeds 1400 is equal to the percentage that we found above, then the correct option is C: 16%

Paco's daughter will be participating in an upcoming dance recital. She will require a
different costume for each dance she plans to performs.
C = the number of costumes Paco's daughter will require
d = the number of dances Paco's daughter plans to perform
Which of the variables is independent?

Answers

Answer: The answer would be D, The number of dances paco's daughter plans to perform.

Step-by-step explanation:

WILL MARK YOU BRAINLIEST JUST GIVE THE ANSWER!!

Answers

your answer would be the second option

Answer :

Step-by-step explanation:

its the second option

The ratio 5:3 and 10:3 are equivalent ratios.
is 30:18 equivalent to these ratios above?​

Answers

Answer:

5:3 and 10:3 are NOT equivalent ratios.

10:3 and 30:18 are NOT equivalent

5:3 and 30:18 ARE equivalent

Step-by-step explanation:

help? Anyone? plzz??

Answers

Answer:

12 to the 5th Power!

Step-by-step explanation:

Add 5+7 and you will get 12. then add the 5th power! so you will get 12 to the 5th power!

Hope it helps!

OwO

Answer:

12 to the fifth power

Step-by-step explanation:

Can someone help me solve this fast??

Answers

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

[tex]\sqrt{3x+8}=\sqrt{4x+1}[/tex]

Square both sides:

[tex](\sqrt{3x+8})^{2} =(\sqrt{4x+1})^{2}[/tex]

[tex]3x+8=4x+1[/tex]

Subtract 8 from both sides:

[tex]3x+8-8=4x+1-8[/tex]

[tex]3x=4x-7[/tex]

Subtract 4x from both sides:

[tex]3x-4x=4x-7-4x[/tex]

[tex]-x=-7[/tex]

Divide both sides by -1:

[tex]\frac{-x}{-1}=\frac{-7}{-1}[/tex]

[tex]x=7[/tex]

The m∠P is three less than twice the measure of ∠Q. If ∠P and ∠Q are supplementary angles, find the measures of both angles.

Answers

Answer:

m∠P =119

m∠Q = 61

Step-by-step explanation:

m∠P =  2(∠Q)-3    or p=2(q)-3

supplementary angles so they combine to equal 180!

soooooo we can take  

q+p=180

input what p equals and you get

q+ 2(q)-3=180

3q-3=180

3q=183

q=61

now we have what m∠Q is, so just subtract that from 180 to get m∠P

180-61=119

IM GIVING 31 POINTS AND YOU WILL GET ALL IF YOU ANSWE AND WHEN I PICK YOU AS BRAINLIEST
Juanita is converting 7 meters to inches. Will the number of inches be less than or greater than 7? choose one of these answers below

The number of inches will be less than 7 because 7 is a small number.
The number of inches will be greater than 7 because 7 is a small number.
The number of inches will be less than 7 because inches are smaller than meters.
The number of inches will be greater than 7 because inches are smaller than meters.

Answers

Answer:

The number of inches will be greater than 7 because inches are smaller than meters.

Step-by-step explanation:

Step-by-step explanation:

1 inch is around 2.54cm, which is a lot less than 1 meter.

Since inches are a smaller unit than meters, the number of inches will be greater than 7 to have the same equivalent length.

"The number of inches will be greater than 7 because inches are smaller than meters" is correct.

Is the table discrete or continuous

Answers

Discrete- there are only a set of values and they do not continue up

suer easy answer orth alot of pions for you
10x-3=-5x-18

Answers

(10x-3=15x-18)

X = -1

Hey there!

[tex]Answer:\boxed{x=-1}[/tex]

[tex]Explanation:[/tex]

10x - 3 = -5x - 18

10x - 3 + 5x = -5x - 18 + 5x      Add 5x to both sides

15 - 3 = -18

15x - 3 + 3 = -18 + 3    Add 3 to both sides

15x = -15

15x/15 = -15/15

x = -1

Hope this helps!

HELP ME SOLVE!!! I'm horrible with fractions :(

Answers

Look at photo for answer

Seven more than twice a number is 7

Answers

Answer:

0

Step-by-step explanation:

0 × , or 0² is 0, and 0 + 7 is 7. Hope this helps!

I REALLY NEED ANSWERS NOW!!

1. Gerry and Jane okay a trivia game. Gerry's score is -17 and Jane's score is -24. What is the difference between Gerry's score and Jane's score

Answers

Answer:

7

Step-by-step explanation:

24-17= 7

therefore

the difference between -17 &-24 is also 7

A water polo team threw a pizza party after winning the championship. They needed enough
pizza for 52 people. Each pizza serves 4 people and costs $12. How much did the pizza cost
all together?

Answers

Answer:

156

Step-by-step explanation:

52÷4= 13

this means you need 13 pizzas

each pizza costs 12 dollars so to work out the total cost for 52 people you multiply 13 by 12

13×12=156

Answer:

$156

Step-by-step explanation:

52 ÷ 4 = 13

13 × 12 = $156

If this is incorrect Im sorry

Blue berries are d dollars a pound . Lin buys q pounds of blueberries and pays t dollars

Answers

Answer:

There is no known answer

Step-by-step explanation:

It has to have at least 1 number for someone to figure out the problem. D = ? Q = ? and T = ? so the answer is ? Unknown.

I need a response thank u if u help me

Answers

Answer:

A, B, & C

Step-by-step explanation:

A) More students play soccer for 2/4 of an hour than any other amount of time. TRUE

B) More students play soccer for 1 hour than for 0 hours. TRUE

C) 8 students play soccer for 2/4 of an hour or more. TRUE

D) The least common response was 0 hours. FALSE

E) 4 students play soccer for 1/4 of an hour. FALSE

THIS IS DUE SOON PLEASE GIVE ME A HAND!! THANK YOU

Answers

x = -1 y = 1 is the solution to this.

Answer:

only one solulton and its 7

Step-by-step explanation:

x=7/2,y=7

Given h(x) = 3x - 3, find h(3).

Answers

Answer:

6.

Step-by-step explanation:

h(x) = 3x - 3

h(3) = 3 * 3 - 3 = 9 - 3 = 6.

Hope this helps!



What is the probability of a spinner stopping on Y?

Answers

Answer:

Step-by-step explanation:

1/8.

There is. One Y and 8 choices

Kim poured a 24-ounce container of orange juice into 5 cups. She
poured the same amount of juice into each cup. Which rational
number represents the amount of juice in each cup?
5
24
24
5
O 5

Answers

5 because if you divide the 24 ounces in 5 cups you get 4.8 but you round it up to get 5

How old was Sarah x years ago if she is now 23?

Answers

Answer:

23 - x

Is that all there is to the problem?

Answer:

23 - x

Step-by-step explanation:

Karla will walk her bike at a speed of 6 mile/hour from her house to the bike
shop, which is 2.5 mi from her house, to get the bike fixed. She expects to
wait 30 min for the repair. Then she will return home by riding her bike at a
speed of 15 miles/hour. How long will the entire trip last? *
A. 1.30 hours
B. 1.50 hours
C. 0.50 hour
D. 1.08 hours

Answers

Answer:

D. 1.08 hours

Step-by-step explanation:

Speed = distance / time

Going to the bike shop

speed = 6 mile/hour

Distance = 2.5 mi

Time = t

Speed = distance / time

6 = 2.5 / t

Cross product

6t = 2.5

Divide both sides by 6

t = 2.5/6

= 0.417 hour

She waited for 30 minutes for the repair, that is 0.5 hour

Going back home

Speed = 15 miles/hour

Distance = 2.5 mi

Time = t

Speed = distance / time

15 = 2.5 / t

Cross product

15t = 2.5

Divide both sides by 15

t = 2.5 / 15

= 0.167 hour

Total time of the entire trip =

0.417 hour + 0.5 hour + 0.167 hour

= 1.084 hour

Approximately 1.08 hour

The correct answer is D. 1.08 hours

5x +7 y=-17
4x – 3y = -5
Substitute.

Answers

Answer:

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

Step-by-step explanation:

We start off by substituting the value of "x".

5x+7y=-17

x=-[tex]\frac{5}{4} + \frac{3}{4}y[/tex]

We then solve 5[tex]5(-\frac{5}{4}+\frac{3}{4}y ) +7y= -17[/tex]

y=-1 *Substitute the value of "y"

x= -[tex]-\frac{5}{4}+\frac{3}{4}x(-1)[/tex]

x=-2

[tex]\left \{ {{-17=-17} \atop {-5=-5}} \right.[/tex] This works.

12(2w-3)=6w simplify.

Answers

Answer:

w = 2

Step-by-step explanation:

Consider the these two linear equations:
10x + 5y = 90
y = ax + 18
What value of a will make the two lines parallel?

Answers

Answer:

  a = -2

Step-by-step explanation:

The first equation can be rewritten in slope-intercept form:

  5y = -10x +90

  y = -2x +18

The value a=-2 will make the second line identical to the first.

Look at the following numbers: −3, −1, 0, 3 Which pair of numbers has a sum of 0?

Answers

Answer:

-3 and 3

Step-by-step explanation:

this is because if u switch em around its 3 - 3 which equals to 0. also because they are opposites on the number scale

The width of a rectangle is 5 feet less than the length. The perimeter is 62. Find the length and width of the rectangle.


Variables: ___________________________

Model equation: ______________________________

Length of the rectangle: ______________________________

Width of the rectangle: ______________________________

Answers

Perimeter formula: p = 2(w + l)

The perimeter is 62.

p = 62

The width of a rectangle is 5 feet less than the length.

w = l - 5

Substitute and solve.

62 = 2[(l - 5) + l)]

62 = 2l + 2l - 10

62 = 4l - 10

72 = 4l

18 = l

Substitute and solve for the width

w = 18 - 5

w = 13

Therefore, the length is 18 and the width is 13.

Best of Luck!

Answer:

see below and attached.

Step-by-step explanation:

Perimeter (P) = 2 L (Length) + 2 W (Width)

where P = 62

          W = L - 5

         

P = 2L + 2W

62 = 2L + 2(L -5)

62 = 2L + 2L - 10

72 = 4L

L = 72/4

L = 18

W = L - 5

W = 18 - 5

W = 15

Variables :                           P, L, W

Model equation:                 P = 2L + 2W

Length of the rectangle:    18

Width of the rectangle:      13

A bowling alley charges $8 for shoes and $3 per game Claire brought $20 what inequality describes this

Answers

Answer:

20 > 8+3g

Step-by-step explanation:

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