The value V of a certain automobile that is t years old can be modeled by V(t) = 14,651(0.81). According to the model, when will the car be worth each of the following amounts?
(a) $8000
(b) $6000
(c) $1000
- The car will be worth $8000 after years.
(Type an integer or a decimal rounded to the nearest tenth as needed.)

Answers

Answer 1

Answer:

a) The car will be worth $8000 after 2.9 years.

b) The car will be worth $6000 after 4.2 years.

c) The car will be worth $1000 after 12.7 years.

Step-by-step explanation:

The value of the car after t years is given by:

[tex]V(t) = 14651(0.81)^{t}[/tex]

According to the model, when will the car be worth V(t)?

We have to find t for the given value of V(t). So

[tex]V(t) = 14651(0.81)^{t}[/tex]

[tex](0.81)^t = \frac{V(t)}{14651}[/tex]

[tex]\log{(0.81)^{t}} = \log{(\frac{V(t)}{14651})}[/tex]

[tex]t\log{(0.81)} = \log{(\frac{V(t)}{14651})}[/tex]

[tex]t = \frac{\log{(\frac{V(t)}{14651})}}{\log{0.81}}[/tex]

(a) $8000

V(t) = 8000

[tex]t = \frac{\log{(\frac{8000}{14651})}}{\log{0.81}} = 2.9[/tex]

The car will be worth $8000 after 2.9 years.

(b) $6000

V(t) = 6000

[tex]t = \frac{\log{(\frac{6000}{14651})}}{\log{0.81}} = 4.2[/tex]

The car will be worth $6000 after 4.2 years.

(c) $1000

V(t) = 1000

[tex]t = \frac{\log{(\frac{1000}{14651})}}{\log{0.81}} = 12.7[/tex]

The car will be worth $1000 after 12.7 years.


Related Questions

Solve for a.
ab +c= d

a= b+ c/d
a= b/ (c-d)
a= d-c/ b

Answers

Answer:

[tex]ab + c = d \\ ab = d - c \\ a = \frac{(d - c)}{b} [/tex]

Answer:

A=d-c/b

Step-by-step explanation:

just took the test

HURRY TIMED!!!!

Find the equation of the graphed line.
On a coordinate plane, a line goes through (0, negative 6) and (6, 0).
a.
y = negative x minus 6
c.
y = x minus 6
b.
y = x + 6
d.
y = negative x + 6

Answers

Answer:

y = x -6

Step-by-step explanation:

First find the slope

m= ( y2-y1)/(x2-x1)

   = (0- -6)/(6-0)

   =( 0+6)/(6-0)

   = 6/6

   = 1

The slope is 1 and the y intercept is -6

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = x -6

Answer:

the answer is C

Step-by-step explanation:

y = x -6

What is the volume of the cone below?
O A. 1087 units 3
B. 144r units3
4
O c. 432rr units 3
O D. 216r units 3

Answers

answer d

Step-by-step explanation:

because I learned this

Answer: 144 pi units^3

Step-by-step explanation:

Can somebody please help me!!!!

Answers

Answer:

first is 180

second is 270

third is 90

Answer:

Step-by-step explanation:

Question 10 of 10
Given the polynomial function below, find F(-5).
F(x) = x2 - 2x-7
O A. -22
B. 42
O C. 8
D. 28

Answers

Answer:

D. 28

Step-by-step explanation:

We are given the following polynomial function:

[tex]F(x) = x^2 - 2x - 7[/tex]

Find F(-5).

This is the value of F for which [tex]x = -5[/tex]. So

[tex]F(-5) = (-5)^2 - 2(-5) - 7 = 25 + 10 - 7 = 28[/tex]

28, which means that the correct answer is given by option D.

(2, 4) after a reflection over the x-axis?

Answers

(2,-4) is the reflection of the x-axis

i don't really understand this

Answers

Answer:

sum

1.-28

2.5/4

3. -9.4

4. 33

5. 4.6

6. 2.4

7. -4.2

DIFFERENCE

8. -2.5

9. -7

10. 3/10

11. -31/36

12. -29/18

13. 16

14.-5/9

Step-by-step explanation: hoped this helped :))


Ethan ran 11 miles in 2 hours. What is the unit rate of miles to hour?
A. 5.5 miles per hour
B. 0.18 miles per hour
C. 5.5 hours per mile
D. 0. 18 hours per mile

Answers

Answer:

A

Step-by-step explanation:

11miles/2hours

11 divide by 2 = 5.5 miles/1 hour

5.5 miles per hour

Answer:

5.5 miles per hour

Step-by-step explanation:

help plzzzzzzzzzz !!!!!

Answers

Answer:

51

Step-by-step explanation:

Ivy deposited some money into a savings account that earns 1%
annual simple interest. At the end of 5 years, she earned $32.50 in
interest. How much money did she put into the account initially?
Round to the nearest dollar.

Answers

Answer:

Ivy initially put $ 650 in the account.

Step-by-step explanation:

Given that Ivy deposited some money into a savings account that earns 1% annual simple interest, and at the end of 5 years, she earned $ 32.50 in interest, to determine how much money did she put into the account initially, the following calculation must be performed:

32.50 / 5 = 6.5

1 = 6.5

100 = X

100 x 6.5 = X

650 = X

Therefore, Ivy initially put $ 650 in the account.


HELP PLZZZZZZZZZZZZZZXZXXXZZZZXZZX

Answers

Answer:

c

Step-by-step explanation:

4×2=2in

100÷2=50%

so it is c

Answer:

Point C

Step-by-step explanation:

Point C is half way on the line

Gordon is trying to save up $2000 for a new saxophone he makes 12.50 per hour at his job at the coffee shop but he needs to set aside half of his hourly wage to pay his regular bills How many 40-hour weeks will he need to work before he can afford the saxophone?

A. 320 Weeks
B. 40 Weeks
C. 8 Weeks
D. 6.25 Weeks

Answers

Answer:

he will need to work 8 40-hour weeks.

Explanation:

since gordon has to set aside half of his wage to pay his bills, he can only save $12.50 ÷ 2 = $6.25 for the saxophone.

we can find how much money gordon saves from a 40-hour week by multiplying this by 40: $6.25 × 40 = $250.

now, divide the total amount of money he has to save by the amount he saves each week: $2000 ÷ $250 = 8.

he will need to work 8 40-hour weeks before he can afford the saxophone.

i hope this helps! :D

What is the surface area of the given figure?

A. 2564 cm
B. 2276 cm
C. 2184 cm
D. 1160 cm

Answers

Answer:

A

Step-by-step explanation:

simplify
[tex] {a}^{3} + {b}^{3} [/tex]

Answers

pretty sure u can not simplify that further since there are no like terms? could be wrong

Answer:

[tex]{a}^{3} + {b}^{3} [/tex]

[tex] = (a + b)( {a}^{2} - ab + {b}^{2} )[/tex]

Hence, simplified

Which of the following is not a true statement about the angles shown below? A H 3x x + 15 Z D x + 15 A. The measure of ZAHD is 30°. B. The measure of ZHDZ is 45°. C. The measure of ZHZD is 45°. D. The value of x is 30.​

Answers

Answer:

A is not true

Step-by-step explanation:

When solving a system of equations algebraically, which statement results in no solution?

Answers

Answer:

all of these

0 does not equal 1

4 does not equal 7

2 does not equal -2

-3 does not equal 3

All of the given equations have no solution.

What are system of equations in mathematics?A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables. They are of the form -

        ax + by + c = 0

        dx + ey + f = 0

We have the given system of linear equations that has no solutions.

For no solutions, the final equation should be of the form -

α = β

where [α] and [β] are constant integers.

So all the equations result in no solution.

Therefore, all of the given equations have no solution.

To solve more questions on system of equations, visit the link below-

brainly.com/question/1126982

#SPJ2

Which two factors of 48 contain a factor that is a prime number

Answers

Answer:

3 and 16

Step-by-step explanation:

23, Corey bought the mailing tube shown at the right
mail a poster of the Gators Little League baseball
a, The mailing tube has the shape of which polyh
b. How many faces does the mailing tube have?
6, When Corey bought the mailing tube, it was
and looked like a net, What polygons would

Answers

Answer:

answer is b

Step-by-step explanation:

answer is b

Find the surface area of the prism,
2.5 m
2 m
4 m
4 m

Answers

Answer:

68

Step-by-step explanation:

2.5×4×2=20

2×4×2=16

4×4×2=32

20+16+32=68

Students painted 1/2 the wall in the gym with 3 colors. Each color takes up the same amount of space on the wall. What fraction of the wall does each color occupy?

Answers

1/2 divided by 3 is 1/6

Hope this helps :D

t = p + 50
The variable p represents the number phone calls she routes, and the variable t represents
the number of minutes she is on the phone. In all, how many phone calls does Shivani have
to route to spend a total of 93 minutes on the phone?

Answers

The only way i can think of working out this question is this:

t = time p = phone calls

insert what we know:-

93 = p + 50

make P on its own:-

take away 50 from each side

43 = p

switch (you don’t HAVE to do this) :-

p = 43

So, shivani has to route a total of 43 phone calls to spend a total of 93 minutes on the phone.

What is
is 1/4 + 9/10y -3/5y +7/8 written in simplest form?

Answers

Answer:

Step-by-step explanation:

[tex]\frac{1}{4}+\frac{9}{10}y - \frac{3}{5}y+\frac{7}{8}\\\\=\frac{1}{4}+\frac{7}{8}+\frac{9}{10}y-\frac{3}{5}y\\\\[/tex]

Combine like terms. 1/4 and 7/8 are like terms and LCD of 4 and 8 is 8

9/10y and -3/5y are like terms and LCD of 10 , 5 is 10

[tex]= \frac{1*2}{4*2}+\frac{7}{8}+\frac{9}{10}y-\frac{3*2}{5*2}y\\\\=\frac{2}{8}+\frac{7}{8}+\frac{9}{10}y-\frac{6}{10}y\\\\=\frac{9}{8}+\frac{3}{10}y[/tex]

Answer:

3 • (4y + 15)

-----------------  

      40  

Step-by-step explanation:

Long explanation get ready

STEP

1

:

           7

Simplify   —

           8

Equation at the end of step

1

:

   1   9      3     7

 ((—+(——•y))-(—•y))+—

   4  10      5     8

STEP

2

:

           3

Simplify   —

           5

Equation at the end of step

2

:

   1   9      3     7

 ((—+(——•y))-(—•y))+—

   4  10      5     8

STEP

3

:

            9

Simplify   ——

           10

Equation at the end of step

3

:

   1      9          3y     7

 ((— +  (—— • y)) -  ——) +  —

   4     10          5      8

STEP

4

:

           1

Simplify   —

           4

Equation at the end of step

4

:

   1    9y     3y     7

 ((— +  ——) -  ——) +  —

   4    10     5      8

STEP

5

:

Calculating the Least Common Multiple :

5.1    Find the Least Common Multiple

     The left denominator is :       4

     The right denominator is :       10

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 2 1 2

5 0 1 1

Product of all

Prime Factors  4 10 20

     Least Common Multiple:

     20

Calculating Multipliers :

5.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 5

  Right_M = L.C.M / R_Deno = 2

Making Equivalent Fractions :

5.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.       5

  ——————————————————  =   ——

        L.C.M             20

  R. Mult. • R. Num.      9y • 2

  ——————————————————  =   ——————

        L.C.M               20  

Adding fractions that have a common denominator :

5.4       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

5 + 9y • 2     18y + 5

——————————  =  ———————

    20           20  

Equation at the end of step

5

:

  (18y + 5)    3y     7

 (————————— -  ——) +  —

     20        5      8

STEP

6

:

Calculating the Least Common Multiple :

6.1    Find the Least Common Multiple

     The left denominator is :       20

     The right denominator is :       5

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 2 0 2

5 1 1 1

Product of all

Prime Factors  20 5 20

     Least Common Multiple:

     20

Calculating Multipliers :

6.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 1

  Right_M = L.C.M / R_Deno = 4

Making Equivalent Fractions :

6.3      Rewrite the two fractions into equivalent fractions

  L. Mult. • L. Num.      (18y+5)

  ——————————————————  =   ———————

        L.C.M               20  

  R. Mult. • R. Num.      3y • 4

  ——————————————————  =   ——————

        L.C.M               20  

Adding fractions that have a common denominator :

6.4       Adding up the two equivalent fractions

(18y+5) - (3y • 4)     6y + 5

——————————————————  =  ——————

        20               20  

Equation at the end of step

6

:

 (6y + 5)    7

 ———————— +  —

    20       8

STEP

7

:

Calculating the Least Common Multiple :

7.1    Find the Least Common Multiple

     The left denominator is :       20

     The right denominator is :       8

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 2 3 3

5 1 0 1

Product of all

Prime Factors  20 8 40

     Least Common Multiple:

     40

Calculating Multipliers :

7.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 2

  Right_M = L.C.M / R_Deno = 5

Making Equivalent Fractions :

7.3      Rewrite the two fractions into equivalent fractions

  L. Mult. • L. Num.      (6y+5) • 2

  ——————————————————  =   ——————————

        L.C.M                 40    

  R. Mult. • R. Num.      7 • 5

  ——————————————————  =   —————

        L.C.M              40  

Adding fractions that have a common denominator :

7.4       Adding up the two equivalent fractions

(6y+5) • 2 + 7 • 5     12y + 45

——————————————————  =  ————————

        40                40  

STEP

8

:

Pulling out like terms :

8.1     Pull out like factors :

  12y + 45  =   3 • (4y + 15)

Please helppp, 15 points

Answers

Answer:

they are adding by 3 1 and 0

Step-by-step explanation:

Answer:

Step-by-step explanation: Mean= 400/15 =26.6

Median = 27

Mode= 35 - 16 =19

No

A journey takes 3 hours at an average speed of 30 km per hour. How long will this journey take at 45 km per hour?

Answers

If it takes 3 hours at 30 km per hour than that 90 km total distance and at 45 km per hour that would mean that distance would be travelled in 2 hours. So the answer should be 2 hours

Find x. Round to the nearest tenth if necessary.

Answers

Answer:

1)From ΔACB

tan 36= x/7

x= 7.tan 36

x= 5.086

2) Sin63=Opp/Hyp= 12/x

=>x=12/Sin63°

x= 13.47

3) Sin=x/MP

Sin 15°=x/12x=125 in 15°

x=3.11

hope it helps...

have a great day!!

Find the surface area of the composite solid.

Answers

Answer:

185ft squared

Step-by-step explanation:

since this is a composite solid, all we have to do is use the 2 formulas:

b x h / 2  (Triangles on the pyramid)

l x w (Rectangular faces)

to solve the surface area of the composite figure.

If the probability of winning a slot machine is 5% and you are going to play 500 pulls. Using a normal approximation. What’s the probability that you win less than 40?

Answers

Answer:

0.9986 = 99.86% probability that you win less than 40

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

The probability of winning a slot machine is 5% and you are going to play 500 pulls.

This means that [tex]p = 0.05, n = 500[/tex]

Mean and Standard deviation:

[tex]\mu = E(X) = np = 500*0.05 = 25[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{500*0.05*0.95} = 4.8734[/tex]

What’s the probability that you win less than 40?

Using continuity correction, this is P(X < 40 - 0.5) = P(X < 39.5), which is the pvalue of Z when X = 39.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{39.5 - 25}{4.8734}[/tex]

[tex]Z = 2.98[/tex]

[tex]Z = 2.98[/tex] has a pvalue of 0.9986

0.9986 = 99.86% probability that you win less than 40

Which is true of an adjustable rate mortgage?

Answers

Answer:

The rate of interest may vary , totally depends on the market value of that agency or company or the financial agency which is providing the mortgage money at certain rate. So, option (B) the interest rate may change depending on the condition of the economy is true statement regarding adjustable rate mortgage.Step-by-step explanation: hope it helps

Jackson purchased $5,200 worth of electronic equipment from BetterBuy on their deferred payment plan. The plan
allows the customer to make no down payment and no payment at all for five months. If the entire amount is paid in
full before the five month deferment ends, the finance charge with an APR of 19.8% is applied each month going
back to the first month. How much would it cost Jackson in finance charges if he misses the 5-month deadline?

Answers

Answer:

If Jackson misses the 5-month deadline, it will cost him $429 in finance charges.

Step-by-step explanation:

Since Jackson purchased $ 5,200 worth of electronic equipment from BetterBuy on their deferred payment plan, and the plan allows the customer to make no down payment and no payment at all for five months, while if the entire amount is paid in full before the five month deferment ends, the finance charge with an APR of 19.8% is applied each month going back to the first month, to determine how much would it cost Jackson in finance charges if he misses the 5-month deadline the following calculation should be performed:

5,200 x (1 + (0.198 / 12 x 5)) = X

5,200 x (1 + (0.0165 x 5)) = X

5,200 x (1 + 0.0825) = X

5,200 x 1.0825 = X

5.629 = X

5,629 - 5,200 = 429

Therefore, if Jackson misses the 5-month deadline, it will cost him $429 in finance charges.

Which of the following is NOT an example of a right angle?

A.The corner of a door

B.The corner of a book

C.The point of a pencil

D.The corner of a piece of notebook paper

Answers

Answer:

C.........................

Answer:

c.The point of a pencil if u go and check all of the other stuff are right triengle the point of a pencil is  like an acute trienagle

Step-by-step explanation:

Other Questions
On a broader scale, librarians are inthe field of facilitating a person'sability to acquire which of thefollowing?A. informationB. social networkingC. internet access Why does the narrator include descriptions of different types of men? (RL. 2.5)You are going to fill in the blanks with the appropriate words that wouldmake sense why he included the different men.No options given, one word per blank.He includes theseThomas includes how difn timDo 1wn types of men-who alltype your answer...against dying, despite theirrage-totype your answer...his stance against giving up on living. HELP! FITNESS : The student in this video is jumping as far as he can (standing broad jump). He is demonstrating which health-related fitness component?a -Powerb-Flexibilityc-Muscular Enduranced- Body Composition What is the volume of a cylinder with a base area of 10 units2 and a height of 7 units, in units3? Are there WW4?Which country will fight? The graph below is an example of which type of function? On a coordinate plane, a function decreases, has a point of inflection, and then continues to decrease. quadratic linear cubic square root What is the difference between the total number of California condors in 1982 and the total population in 2016? How does an individual with a competitive advantage lead to the evolution of an entire species?(1 point)A) Some individuals are better at competing for resources, and that allows them to survive droughts or other major ecological events, leading to the extinction of certain species and the survival of others.B) Traits that are advantageous help certain individuals reproduce at higher rates, so those traits are more common within the population.C) Those who have traits that help them survive are able to reproduce, and their offspring have those traits, leading to a change in the species over time.D) Individuals that survive due to their competitive advantage are able to expand their range, similar to how the finches radiated out from one common ancestor on the mainland. 9 points(Target 3) The diagram shows the flow of organic molecules through anecosystem. Which of the following ecological cycles is most likely shown?Microorganisms in soilNitrogen CycleO Food WebCarbon CycleEnergy Pyramid If private security forces are filling a need for more forces that the U.S. military does not have , why should they be considered mercenariesand so be banned during war time? PLease answer and explain number 8 and 9 for 10 points and brainlest Look around you and write down about someone you know that you think will be a memorable character in a play. Write down details about this person, as you would when you write a play.Does this character give you an idea for the plot of a one act play? If yes, what would the plot for your play be? If no, why not?pls help me! What satirical purpose does the reference to the Emperor's speeches on mercy serve?Gulliver'sTravelsbyJonathanSwift( (excerpt)On It shows good speeches being celebrated without regard to the intent of their speakersOB. It reveals the low moral standards of subjects in relation to their rulers,Cit exposes the hypocrisy of rulers who obscure their brutality with meaningless wordsOD It shows the need to impart justice without regard for mercy and without prejudiceResetNexts prince and his ministry...any cruel execution, eitherent, or the malice of ade a speech to his wholey and tenderness, asy all the world. This speechugh the kingdom: nor diduch as those encomiums onas observed that the moreinsisted on the morend the sufferer moreit confess, having never been HELP PLEASE!! Identify Structure What linear expression would you need to subtract from (5x+3) to have a difference of x ? A box contains 3 black pens, 7 blue pens and 5 red pens. Without replacing the first pen,what is the probability of pulling a red or blue pen? Can u help me with this question? "In the morning when he crawls out of his tent he sits on a rockand combs until the beard shines like a cormorant's wing," Ramosaid.What type of figurative language is used in this passage?O idiomO personificationmetaphorOsimile What is something in our current society that is used as the topic of satire? which goal is an example of a measurable goal? wyd Refer to the model above. A science student is camping with her family for one month at Stone Mountain Park. In a journal she records a model of the moon phases she observes. She began recording the moon phases at position X. Fill in the moon sequence to show what Moon phases could be seen by her during the 4-week period.