The dollar value of a car is a function, f, of the number of years, t, since the car was purchased. The function is defined by the equation f(t)=12,000(3/4)^t.
A. How much was the car worth when it was purchased? Explain how you know.
B. What is f(2)? What does this tell you about the car?
C. About when was the car worth $6,000? Explain how you know.

Answers

Answer 1

Answer:

1.) 12000

2.) 6750

3.) 2.41

Step-by-step explanation:

Given the Equation :

f(t)=12,000(3/4)^t. ; where, t = time ; f(t) = worth of car at time, t

When, car was purchased, t = 0

t = 0

f(0) = 12000(3/4)^0

= 12000 * 1

= 12000

2.)

f(2) ; this mean the worth of the car after 2 years :

f(2)=12,000(3/4)^t.

12000(3/4)^2

12000 * 0.5625

= 6750

When car will be worth 6000

f(t) = 6000

f(t)=12,000(3/4)^t.

6000 = 12,000(3/4)^t

6000 / 12000 = (3/4)^t

1/2 = (3/4)^t

Take the log of both sides :

Log(0.5) = log(0.75)^t

log(0.5) = tlog(0.75)

- 0.301029 = - 0.124938t

t = - 0.301029 / - 0.124938

t = 2.4094

t = 2.41 years


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If you use 3.14 in terms of pi, it's 22.8906. If you use the pi symbol, it is 7.29π.

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Answer:

D

Step-by-step explanation:

Using the tangent ratio in the right triangle

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θ = [tex]tan^{-1}[/tex] ([tex]\frac{7}{4}[/tex] ) ≈ 60° ( to the nearest degree )

The box plot below represents some data set. What percentage of the data values are between 20 and 55?​

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Step-by-step explanation:

the solution is self explanatory

I WILL GIVE BRAINLIEST!!!!!!! A video game developer wants to know how long it takes people to finish playing their new game. They surveyed a random sample of 13 players and asked how long it took them (in minutes). 1.235 952 457 1,486 1,486 | 1,759 1,148 548 1,0371,864 | 1,245 866 1,431 a. Estimate the median time it will take all players to finish this game. minutes b. Find the interquartile range for this sample minutes​

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Answer:

a)  median = 1,148 minutes

b)  IQR = 549.5

Step-by-step explanation:

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Q3 = (1431 + 1486) / 2 = 1458.5

IQR = 1458.5 - 909.0 = 549.5

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In any given pair of similar three dimensional figures, if the ratio of the sides is a:b, then the ratio of
the surface areas is...

A:B
A^3:B^
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Answers

I think A^3:B^

Explanation:

It is 3 dimensional, so the surface area would be 3x bigger, so A^3:B^

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A.

Step-by-step explanation:

It's exactly what's asked for.

Please help I’m strugglinggg Oml and this is due right now

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Answer:

i dont understand thisssssssss im sorrrryy what is c(5)?????? huhhhhhhhhh

Step-by-step explanation:

1. 10x +14 y+8 37 27 +3 4y-19 X+77.​

Answers

Answer:

Step-by-step explanation:

Multiple Select: Multiply and match each of the following
expressions.
A. (x − p) (x + p)
B. (x – 5) (x + 7)
C.(x + p) (x + p)
A.isz? - 2px – pº A.isx? – p2 B.isz? + 2x – 35
B.isx? - 20 – 35 Cisx2 + 2px +p?

Answers

Answer:

A. (x − p) (x + p) = x² - p²

B. (x – 5) (x + 7) = x² + 2x - 35

C. (x + p) (x + p) = x² + 2px + p²

Step-by-step explanation:

To find - Multiply and match each of the following  expressions.

A. (x − p) (x + p)

B. (x – 5) (x + 7)

C.(x + p) (x + p)

Proof -

A.)

The expression is - (x − p) (x + p)

Now,

(x − p) (x + p) = x(x + p) - p(x + p)

                     = x(x) + x(p) - p(x) - p(p)

                     = x² + xp - px - p²

                     = x² - p²

(x − p) (x + p) = x² - p²

B.)

The expression is - (x – 5) (x + 7)

Now,

(x − 5) (x + 7) = x(x + 7) - 5(x + 7)

                     = x(x) + x(7) - 5(x) - 5(7)

                     = x² + 7x - 5x - 35

                     = x² + 2x - 35

(x − 5) (x + 7) = x² + 2x - 35

C.)

The expression is - (x + p) (x + p)

Now,

(x + p) (x + p) = x(x + p) + p(x + p)

                     = x(x) + x(p) + p(x) + p(p)

                     = x² + xp + px + p²

                     = x² + 2px + p²

(x + p) (x + p) = x² + 2px + p²

Someone help me with this pls

Answers

Answer:

5-² is your correct answer

Answer:

=5^10/5^12

= 5^10-12

=5^-2

there are 10 children in line. four are girls the rest are boys. which number sentence can be used to find the number of boys in line?

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Answer:

Im sorry i dont understand what you mean by sentence but there are 6 boys

Step-by-step explanation:

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1. x = 21, y = 103
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Solve plz
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Answers

Answer:

497.8

Step-by-step explanation:

500-2.23=497.77=497.8

Answer:

500-2.23500-2.23497.77

hope it helps

stay safe healthy and happy.


Can someone help on this?

Answers

It is d hope that helps!

Answer:

D

Step-by-step explanation:

p(x, y) reflection on y axis = p'(-x, y)

7=x + 2x - 5 - 58
Show work please

Answers

Answer:

x= 23.33

Step-by-step explanation:

7=x+2x-5-58

combine like terms

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Is this a polygon or trapezoid?

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Answer:

No

Step-by-step explanation:

this is my opinion so No

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Answers

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Answers

Answer:

AB = 7

Step-by-step explanation:

The polygon pictured is a hexagon, which means that it has 6 equal side lengths. The perimeter is 42. AB is the length of one side.

Perimeter = 6 x length of one side

If you plug everything you know in the equation, you would get...

42 = 6 x length of one side

42 ÷ 6 = 7

So, 7 is the length of AB, since in a hexagon, all sides are the same length.

The length of side AB  is 7.

What are regular polygons?

A regular polygon is a closed shape that has straight sides of equal length and interior angles of equal measure.

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Now,

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Answer:

1,716

Step-by-step explanation:

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Answer:

C

Step-by-step explanation:

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rewrite each expression as single exponent. Answer all of them Please!

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Answer:

[tex]11^2 *11^10 \\13^6 *13^4\\14^9 * 14^10\\2^4*2^4\\7^8*7^6\\3^3*3^9[/tex]

Step-by-step explanation:

Please Mark Brainliest for helping

Sabrina babysits for young kids in her neighborhood. Last Friday night, she babysat one child for 2 hours and made $16. Tonight, she babysat one child for 6.5 hours and made $34. Determine and interpret the rate of change and initial value.

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Answer:

Hello! answer: e = 103 f = 77

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Answers

Answer:

The average distance from venus to mars is 2.5x10⁸ kilometers.

Step-by-step explanation:

We know:

d₁: average distance between venus and earth = 2.5x10⁷ km

d₂: average distance between mars and earth = 2.25x10⁸ km

We can find the average distance from venus to mars as follows:

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Now, average distance:

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Therefore, the average distance from venus to mars is 2.5x10⁸ kilometers.

I hope it helps you!              

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Answers

Answer:

2

Step-by-step explanation:

Answer:

[tex]2[/tex]

Step-by-step explanation:

[tex]8+14-5-7+3-7-4[/tex]

We'll Follow the PEMDAS order of operations:-

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[tex]2[/tex]

OAmalOHopeO

Easy math please help!!

James is making orange juice from concentrated frozen orange juice that he must mix with water. The concentrated juice is in 12 fluid ounce cartons. The ratio of orange juice concentrate to water is 12 fluid ounces to 36 fluid ounces. If James needs 4.5 gallons of orange juice, which is 576 fluid ounces, how many cartons of concentrated orange juice does he need? (Your answer should just be a number.)

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Answer:

48

Step-by-step explanation:

What are the values of c and d in the matrix subtraction below? [ 6 8 -11 15 ]-[c+2 3 -5 d-4 ]=[ 22 5 -6 17] C=-14 d= -6 c=-18 d= -6 c=-14 d=2 c=-18 d=2

Answers

Answer:

c=-18 d=2

Step-by-step explanation:

[ 6 8 -11 15 ]-[c+2 3 -5 d-4 ]=[ 22 5 -6 17]

The equation tells that when the two matrices are subtracted we get the resultant matrix.

Each element of the first matrix corresponds to each element of the second matrix

From above

6- (c+2)= 22

6- c-2= 22

4-c= 22

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c= -18

And

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15- d+4= 17

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Answer:

D

Step-by-step explanation:

c= -18

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Answers

Answer:

there are seven variable terms

Step-by-step explanation:

variables are letters (a, b, c, etc.)

i hope this helps :)

Answer:

The answer is 4 because are all separate variables (also  combines into one variable)

Step-by-step explanation:

Find the volume of this right rectangular
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Step-by-step explanation:

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Select the letter of the correct answer. A museum in South Africa uses paintings of right-angled triangles to teach children about the Pythagorean Theorem: A squared + B squared = C squared Let's say that A = 4 and B = 3. Based on the theorem, what is the value of C squared? Choose the correct expression. A 42+
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