A brand new smartphone costs $1200. It decreases in value by 13. 3% every year after its purchase. Which function models the value of the phone x years after its purchase?


Question 8 options:


f(x)=1. 133(1200)x


f(x)=1200(1. 133)x


f(x)=1200(0. 867)x


f(x)=0. 867(1200)x

Answers

Answer 1

The function that models the value of the phone x years after its purchase is y = 1200(0.867)^x

Exponential equations

The standard exponential equation is given as:

y = ab^x

From the given question

a = 1200

b = 1 - 0.133

x is the time

Substitute to have:

y = 1200(1-0.133)^x
y = 1200(0.867)^x

Hence the function that models the value of the phone x years after its purchase is y = 1200(0.867)^x

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Related Questions

15
The table below shows the lengths in
centimeters (cm) of a sample of 5 leaves
from a tree.
Leaf Length (cm)
14.2
2 13.8
12.6
13.4
5 11.5
WIN
3
4
?
A 6th leaf is added to the sample and its length is
measured. Its measure increases the mean value of
the sample of leaves but decreases the median value
of the sample of leaves. What is a possible
measurement for the length of the 6th leaf?
A) 13.1 cm
B) 13.3 cm
C) 13.4 cm
D) 13.7 cm

Answers

The mean measurement is the average value of the leaves

The possible measurement of the 6th leaf is 13.3

How to determine the possible value of the 6th sample

The dataset is given as:

14.2, 13.8, 12.6, 13.4 and 11.5

Sort the data elements

11.5, 12.6, 13.4, 13.8 and 14.2

Calculate the mean

[tex]\bar x = \frac{11.5 + 12.6 + 13.4 + 13.8 + 14.2}{5}[/tex]

[tex]\bar x = \frac{65.5}{5}[/tex]

[tex]\bar x = 13.1[/tex]

So the mean is 13.1 and the median is 13.4

For the mean to increase, the 6th dataset must be greater than 13.1.

For the median to decrease, the 6th dataset must be less than 13.4

From the list of given options, the element that satisfy the above highlights is 13.3

Hence, the possible measurement of the 6th leaf is 13.3

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HELP, IM NOT GOOD A COORDINATES.

Answers

A(1,0)

B(0,-3)

C(-6,5)

D(-3,-5)

E(-1,4)

The length of a side of a square is (2x + 9) km. Find the area of the square in terms of the variable x.

Answers

(2x + 9)^2
= 2x(2x + 9) + 9(2x + 9)
= 4x^2 + 36x + 81

Pls help :( :(((
Pls pls pls

Answers

Answer:

1.) a- 9,00

b-43,000

d-8,000

e-41,000

g-7,000

h-56,000

j-16,000

Step-by-step explanation:

2.)

a-5

b-17

c-21

Answer:

1)

a. 9,000 bytes

b. 43,000 bytes

c. 9,600 bytes

d. 8,000 kilobytes

e. 41,000 kilobytes          f. 7,300 kilobytes

g. 7,000 MB                     h. 56,000 MB

i. 2,500 MB                       j. 16,000,000 Bytes

2)

a. 5

b. 17

c. 21

(4s+3)(4s–3) i really neeed help

Answers

Answer:

16s^2 -9

Step-by-step explanation:

(4s+3)(4s–3)

FOIL

first : 4x*4x = 16s^2

outer -3 *4s = -12s

inner 3*4s = 12s

last = 3* -3 = -9

Add them together

16s^2 -12s+12s -9

Combine like terms

16s^2 -9

The fuel for a chain saw is a mix of oil and gasoline. The ratio of ounces of oil to gallons of gasoline is 5:18. There are 36 gallons of gasoline. How many ounces of oil are there?
129.6 ounces
16 ounces
10 ounces
2.5 ounces

Answers

10 ounces because divide 36 by 18 which gives you two. Then multiply 2 by 5 which gives you 10 and that 10 is how many ounces

10. The GCD of two numbers is 8 and their
LCM is 360. If one of the numbers is 72,
what is the other number?​

Answers

40

Hope this helped :)

The kinetic energy k of an object in joules is given by the formula k=1/2mv² where m is the object's mass in kilograms and v is its velocity in meters per second. An object’s velocity is 20 meters per second, and its kinetic energy is 48,000 joules. If it speeds up to 40 meters per second, what is its new kinetic energy?

Answers

Answer:

192000 J

Step-by-step explanation:

k = 1/2 mv²

48000 = 1/2 x m x (20)²

48000 = 200m

m = 240 kg

new k

k = 1/2 x 240 x 40²

k = 192000 J

Two cylindrical vases have the same base, but one vase is twice as tall as the other one. Therefore, the taller vase will hold 8 times as much water as the shorter vase.

Answers

Answer:true

Step-by-step explanation:

If O is an angle in standard position and its terminal side passes through the point
(-35,-12), find the exact value of sin 0 in simplest radical form.

Answers

[tex](\stackrel{a}{-35}~~,~~\stackrel{b}{-12})\qquad \impliedby \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c = \sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{(-35)^2+(-12)^2}\implies c=\sqrt{1225+144}\implies c=\sqrt{1369} \\\\\\ \underline{c=37}~\hspace{10em}sin(\theta )=\cfrac{\stackrel{opposite}{-12}}{\underset{hypotenuse}{37}}[/tex]

Find an equation of a line that is parallel to y = 3x - 9 and passes through
the point (1, 1). *

Answers

Answer:

y=3x-2

Step-by-step explanation:

For this problem, you can use the point-slope formula: y-y1=m(x-x1), with x1 and y1 being from the given coordinate, and m being the slope (which is 3 that can be seen in the equation). Since we're finding a line that is parallel to this line, the slopes of both equations are the same.

y-(1)=3(x-1)

y-1=3x-3

y=3x-2

Check:

(1)=3(1)-2

1=3-2

1=1

[tex]y=3x-2[/tex]  is an equation of a line that is parallel to [tex]y = 3x - 9[/tex] and passes through the point [tex](1, 1).[/tex]

What is equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

What is Parallel lines?

In geometry, parallel lines are coplanar straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional space that never meet.

According to question, we have to write an equation of a line that is parallel to [tex]y = 3x - 9[/tex]  and passes through the point [tex](1, 1)[/tex]

Since, the line passes through [tex](1,1)[/tex] and have slope[tex]=3[/tex]

So, [tex]y-(1)=3(x-1)[/tex]

⇒      [tex]y-1=3x-3[/tex]

⇒            [tex]y=3x-2[/tex]

Hence, we can conclude that [tex]y=3x-2[/tex]  is an equation of a line that is parallel to [tex]y = 3x - 9[/tex] and passes through the point [tex](1, 1).[/tex]

Learn more about Parallel lines here:

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#SPJ2

What is the error in the problem ​

Answers

i’m pretty sure it’s when 8(p-7) because it didn’t distribute 8 and 7

Go step by step to simplify the radical.

[tex]\sqrt{224}[/tex]

Answers

Answer:

  4√14

Step-by-step explanation:

You simplify a radical by removing squares from under it.

  [tex]\sqrt{224}=\sqrt{16\cdot14}=\sqrt{4^2\cdot 14}=\boxed{4\sqrt{14}}[/tex]

There is a pair of parallel sides in the following shape.
2 12 13 7
What is the area of the shape?
___units

Answers

The area of the shape is the amount of space on the shape

Using the assumed parameters, the area of the shape is 25 square units

How to determine the area?

The question is incomplete, as the shape is not given.

Assume the shape is a trapezoid, the area of the shape would be:

A = 0.5 * (sum of parallels sides) * height

Using the assumed values, we have:

Area = 0.5 * (12 + 13) * 2

Evaluate the product

Area = 25

Using the assumed values, the area of the shape is 25 square units

Read more about areas at:

https://brainly.com/question/24487155

Answer:

54

Step-by-step explanation:

HELP FAST IM GETTING TIMED PLEASE ILL MARK BRAINLIEST

Answers

Answer:

Step-by-step explanation:

for every 10c there is 30c. for every 20c there is 125c.

Is 10, 24, 13 a Pythagorean Tripe? Explain

Answers

Answer:

car

Step-by-step explanation:

Please help! Will give brainliest!

Answers

Answer:

A. Martin was faster

Step-by-step explanation:

If you look at the graph, you can see that Martin is going faster.

For example: When George is at 2 weeks, he is almost at 3 kg. When Martin is at 2 weeks, he is at 4 kg exactly.

Brainliest?

At the nearest wholesale store, 3 bags of bulk cereal cost $21.75.
At this rate, how much would 5 bags of bulk cereal cost? Enter your answer in the box.

Answers

Answer:

[tex]36.25[/tex]

Step-by-step explanation:

Let [tex]x[/tex] be the cost of 5 bags of bulk cereal.

3 is to $21.75 as 5 is to [tex]x[/tex], this translates to the following

[tex]\frac{3}{21.75}=\frac{5}{x}[/tex]

Solving for [tex]x[/tex], we get [tex]x=36.25[/tex]

Answer:

5 bags of bulk cereal cost $36.24

Step-by-step explanation:

Two angles are supplementary. One angle is 36 degrees bigger than the other. What is the measure of the bigger angle

Answers

let the other angle be x degree

bigger angle = x +36°

According to the question,

x+36° + x° = 180°

=> 2x = 180–36

=> x = 144/2

=> x = 72°

Measure of the bigger angle = x + 36

= 72° + 36°

= 108°

What is the domain of the following graph?

Answers

Answer:

[0,9]

Step-by-step explanation:

The domain is the first set of the ordered pair. When finding the domain you are supposed to find which x value it starts from to where it ends. The x value starts from 0 and ends and the 9th unit on the x-axis which would give us 0,9 now since both points are closed you would use these symbols [ ] to show that it is closed meaning the answer would be [0,9]

Note:

I'm sorry if this is wrong but this is what I believe the answer is.

What measure of center best represents the data set? Drag and drop the correct answer into the box. Data Set Best Measure of Center {27, 29, 26, 28, 25}.

Answers

The measure of center best represents the data set is Mean or Median.

Given

Data Set Best Measure of Center {27, 29, 26, 28, 25}.

What is the mean of the data set?

The mean is the average of a set of data.

The mean is found by finding the sum of the data and then dividing the sum by the number of data.

The mean of the given data set is;

[tex]\rm Mean = \dfrac{27+29+26+28+25}{5}\\\\Mean =\dfrac{135}{5}\\\\Mean =27[/tex]

Arranging the data set in the ascending order

{25, 26, 27, 28, 29}

The median is defined as the middle value of the given data set.

The median of the data set is 27.

Hence, the measure of center best represents the data set is Mean or Median.

To know more about mean and median click the link is given below.

https://brainly.com/question/1363341

What is the solution to the system of equations?
2x + y - Z= 7
- X- 2y – 2z = -9
X + 3y - 32= 6


A : (3,-2,1)

B : (3,2,-1)

C : (3,2,1)

D : (-3.2,1)

Answers

Answer:

the answer is b

Step-by-step explanation:

bc i just this it is

Which of the following is an Expression
*
O 1+2 = 3
O x+3 = 9
O 8 = 9 x 5
O 12 +9

Answers

I think it’s x+3=9.
12+9 because there is no equal sign or any solving

lmc of x^2-4 and x^2-5x-14

Answers

Answer:

[tex]\left(x+2\right)\cdot \left(x-2\right)\cdot \left(x-7\right)[/tex]

Step-by-step explanation:

[tex]\mathrm{Find\:Least\:Common\:Multiplier\:of\:}x^2-4,\:x^2-5x-14[/tex]

[tex]\mathrm{The\:LCM\:of\:}a,\:b\:\mathrm{is\:the\:smallest\:multiplier\:that\:is\:divisible\:by\:both\:}a\mathrm{\:and\:}b[/tex]

[tex]x^2-4[/tex]

[tex]\mathrm{Rewrite\:}4\mathrm{\:as\:}2^2[/tex]

[tex]=x^2-2^2[/tex]

[tex]x^2-2^2=\left(x+2\right)\left(x-2\right)[/tex]

[tex]=\left(x+2\right)\left(x-2\right)[/tex]

[tex]x^2-5x-14[/tex]

[tex]=\left(x^2+2x\right)+\left(-7x-14\right)[/tex]

[tex]=x\left(x+2\right)-7\left(x+2\right)[/tex]

[tex]=\left(x+2\right)\left(x-7\right)[/tex]

[tex]\mathrm{Multiply\:each\:factor\:with\:the\:highest\:power:}[/tex]

[tex]\left(x+2\right)\cdot \left(x-2\right)\cdot \left(x-7\right)[/tex]

4+4x=2x+8+2x-5
Please help cant figure it out

Answers

The answer is no solution
Your question doesn’t make sense

Lee wanted to visit his grandmother who lives 1,400 air miles
away. If Lee's plane travels 400 miles per hour, how many
hours would Lee's flight take?

Answers

Answer:

Lee's flight would take 3.5 hours.

Step-by-step explanation:

1400 ÷ 400 = 3.5

Why do people engage in various ?​

Answers

Answer:

When and why do people engage in different forms of proactive behavior at work? We propose that as a result of a process of trait activation, employees with different types of self-construal engage in distinct forms of proactive behavior if they work in environments consistent with their self-construals. In an experimental Study 1 (n = 61), we examined the effect of self-construals on proactivity and found that people primed with interdependent self-construals engaged in more work unit–oriented proactive behavior when job interdependence was also manipulated. Priming independent self-construals did not enhance career-oriented proactive behavior, even when we manipulated job autonomy. In a field Study 2 (n = 205), we found that employees with interdependent self-construals working in jobs with high interdependence reported higher work unit commitment and higher work unit–oriented proactive behavior compared to employees in low interdependent jobs. Employees with independent self-construals working in jobs with high autonomy also exhibited stronger career commitment and more career-oriented proactive behavior than did those in jobs with low autonomy. This research offers a theoretical framework to explain how dispositional and situational factors interactively shape people’s engagement in different forms of proactive behavior.

Step-by-step explanation:

¿cuántos kilos de productos de primera necesidad ,ha consumido la familia de manuel en los tres meses?

Answers

En total, durante los últimos meses la familia de Manuel ha consumido 792 kilos de productos de primera necesidad.

¿Cómo calcular el total de comida consumida?Sumar la cantidad total de cada alimento.Sumar estos totales.

¿Cuál es el total de cada comida?

Arroz: 17+13+18= 48 kg

Fideos: 12+27+30 = 69 kg

Harina: 26+56+50= 132 kg

Aceite: 6+24+30= 60 kg

Avena: 8+16+20= 44 kg

Papa: 32+48+48= 128 kg

Frejol: 12+20+27= 59 kg

Alverja: 16+24+26= 66 kg

Pollo: 12+12+12= 36 kg

Carne de res: 8+10+10= 28 kg

Mazamorra: 8+25+28= 61 kg

Leche: 13+24+24=61 kg

¿Cuál es el total de comida consumida?

48+69+132+60+44+128+59+66+36+28+61+61= 792 kilos

Nota: Esta pregunta está incompleta, a continuación se adjunta la parte faltante.

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Please help me I don´t get it?

Answers

A: e and c are verticale angles
B: c and b are complementary angles
C: c and d are supplementary angles
Im not sure with d
E: e = 30, b=60, a=90, d=150

1 If 3, p, q, 9 are in the geometric sequence, find the value of p and q. 9.

Answers

Answer:

Step-by-step explanation:

1/3 p, 9,9 are in the geometric sequence

9/ ( 1 1/3) = 27

3^3 = 27

So -- p = 1/3 x 3 = 1

q= 1 x 3 = 3

3 x 3=9

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