The equation V(t) = 12,000(0.75)^t represents the value of a motorcycle
t years after it was purchased. Which statement is true?

(1) The motorcycle cost $9000 when purchased.

(2) The motorcycle cost $12,000 when purchased.

(3) The motorcycle's value is decreasing at a rate of 75% each year.

(4) The motorcycle's value is decreasing at a rate of 0.25% each year.

Answers

Answer 1

Answer:

(2) The motorcycle cost $12,000 when purchased.

Step-by-step explanation:

In the standard exponential equation, y = ab^x, a is the original value.

Since the equation is V(t) = 12,000(0.75)^t, a is 12,000.

This means that the original value was 12,000.

So, the motorcycle cost $12,000 when it was first purchased.

The correct answer is (2) The motorcycle cost $12,000 when purchased.


Related Questions

Dentro de 15 años la edad de Carlos será el doble de la edad de Ana. Hace 6 años la edad de Carlos era el triple de la de Ana. Calcular la suma de sus edades y dar como respuesta la suma de cifras de este resultado

Answers

Answer:

Ana tiene 27 años mientras que Carlos, tiene 69 años

La suma de las edades es: 27+69 = 96

La suma de las cifras de este resultado es 9+6 = 15

Step-by-step explanation:

Vamos a hacer una linea temporal para ubicarnos en tiempo.

AÑO 2021, Ana tiene una edad A mientras que Carlos tiene una edad C

15 años para adelante

AÑO 2036, la edad de Carlos es el doble de la de Ana

C = 2A

Si nos vamos 6 años para atrás

AÑO 2015, la edad de Carlos es el triple de la de Ana

C = 3A

Como de 2015 a 2036 pasan 21 años, podemos plantear que

La edad de Carlos + 21  va a ser 2 veces la edad de Ana, traducido:

C + 21 = 2A, pero en 2015, ya sabemos que la edad de Carlos es el triple de la de Ana, entonces:

3A + 21 = 2A. Si despejamos:

3A - 2A = -21

A = |21|  Ésta es la edad de Ana. (Ponemos valor absoluto porque una edad no puede ir negativa.

Si Ana en 2014 tiene 21 años, Carlos tiene 63 (el triple) por lo que sumamos 6 años y llegamos al presente:

En 2021, Ana tiene 27 años (21+6), mientras que Carlos tiene 69 (63+6). Edades actuales.

Nos corremos 15 años al futuro, por lo que llegamos al año 2036.

Carlos pasa a tener 84 años (69+15) y Ana, 42 (27+15) donde verificamos que la edad de Carlos, es el doble que la de Ana, 84/42 = 2.

Finalmente la suma de las edades es: 27+69 = 96

La suma de las cifras de este resultado es 9+6 = 15

A circle has a circumference of 10 feet. What is the
diameter?

Answers

the diameter would be 3.18
um the diameter would be 3.18

help pleasee! WILL GIVE BRAINLIEST IF WORK IS SHOWN

Answers

Step-by-step explanation:

1) Find the side lengths first by the Pythagorean theorm.

2) Multiply or square that # (since its a square) to get the area

(#'s coordinate in the pictures)

please help me ill give you the crown thing if its right

Answers

Answer:

2.5 cups of milk

The area of a kite is 120cm2. The length of one diagonal is 20cm. What is the length of the other diagonal?

Answers

Answer:

12cm

Step-by-step explanation:

The area of a kite is the product of the diagonals divided by 2:

A = (d1 * d2)/2

You can substitute what we have:

120 = (20 * d2)/2

And solve.

240 = 20 * d2

d2 = 12cm

The length of the other diagonal is 12cm.

What is area ?

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

SOLUTION:

Step 1:

In this question, we are given the following:

The area of a kite is 120. One of the diagonals is 20.

What is the length of the other diagonal?

Step 2:

The details of the solution are as follows:

we know that,

The area of a kite is the product of the diagonals divided by 2:

A = (d1 * d2)/2

You can substitute what we have:

120 = (20 * d2)/2

And solve.

240 = 20 * d2

d2 = 12cm

CONCLUSION:

The length of the other diagonal = 12 cm.

To learn more on Area click:

brainly.com/question/20693059

#SPJ2

Sarah kept track of the points she scored during her first five basketball games in the table shown. easy help

Answers

Answer:

E

Step-by-step explanation:

If you add 22 onto the sum of all the points and divide by the amount of games (6), you get 12.

What is the quotient? 8)48​

Answers

Answer: 6

Step-by-step explanation: 8 x 6 = 48, so therefore 8)48 would be 6.

Answer:

8 / 48

Step-by-step explanation:

quotient = 0

remainder = 8

Brainiest please

Find the missing value for the parallelogram

Answers

Answer:

y = 85°

z = 35°

x = 60°

Step-by-step explanation:

y) 180 - 120 = 60, therefore:

180 - (35 + 60)

=> y = 85

z)

=> z = 35

x)

180 - (35 + 85)

=> x = 60

Hope this helps!

Answer:

to find y

you find the bottom right angle

which is 180-120 = 60

then you do 60+35 = 95

then 180 -95 because the sum of all angles in a triangle is 180

so the answer is 85 = y

There is a rule where the alternate angles between the parallel lines are identical

if y = 85 that means that the angle next to 35 is 85

same for angle z, if the top right 35, that means that angle z = 35

Now you add 35 + 85 = 120

180 - 120 = 60 = angle x

In summary

x=60

y=85

z=35

Hope that answers your question

Don't hesitate to leave a comment if you are confused about something

Step-by-step explanation:

The radius of a circle is 7 ft. Find its area to the nearest tenth

Answers

Answer:

153.9 ft²

Step-by-step explanation:

A(Circle) = πr²

⇒ π(7)² ⇒ 49π ≈ 153.9 ft²

Answer:

47.0

Step-by-step explanation:

A=L^2

A=7*7

A=47

47 to the nearest tenth

=47.0

ahhhh someone help pls!!!!

Answers

Answer:

I may be wrong but I think it's 90 I may be wrong but hey I tryed.

Step-by-step explanation:

Pa help po thank you:))

Answers

Answer:

here are some examples of quadrilateral things( just pick 2), pinili ko sila dahil lahat sila ay rectangle( which i believe is one of the types of quadrilaterals):

- A (wooden) door

- A bill( 100 pesos or 1 dollar bill, whatever currency you use).

- A T.V.

- A Laptop

- A book

_______________________ follow the format:

" (choose 2 from above) A _______ and a _______ are examples of a two- dimensional shape or quadrilateral, which means they have 4 straight sides, 4 angles and 4 vertices. Both ______ and _______ are classified as rectangle because both opposite sides are equal."

there you go! i hope you pass and thank me later:)

PLEASE HELP!!!!!!!!


zoe then tosses a postcard in the air 25 times. of those times, the picture side lands face up 10 times. if zoe tosses the postcard in the air a total of 80 times, about how many times is the picture side expected to land face up? explain how you know

Answers

Answer:32

Step-by-step explanation:in the situation, it lands face up 10/25 times, aka 2/5this of the time. 2/5ths of 80 is 32

Please, help me with question

Answers

Answer:

c) 152

Step-by-step explanation:

A central angle is equal to the measure of its corresponding arc.

∠AOB is a central angle and arc AB is its corresponding arc

Thus, ∠AOB ≅ Arc AB

Which means that because arc AB = 152, ∠AOB also equals 152

Given AB CD find the value of X

Answers

Answer:

-2,0

Step-by-step explanation:

To find the x-intercept, substitute in  

0

for  

y

and solve for  

x

. To find the y-intercept, substitute in  

0

for  

x

and solve for  

y

.

Answer:

x=60

Step-by-step explanation:

there is a law that says that the 124 angle and the unknown equation are equal, i just dont remember what that law is. but you can create the equation 124=2x+4 to solve for x, subtract 4 over and now you have 120=2x, divide by 2 and you will finish with 60=x

leave any questions in the comments and i will try to answer them, and if this helps, pls give brainliest pls.

In an enclosure, there are 8 yellow chicks and 6 black and white chicks. The door opens and two chicks escape. What is the probability that both chicks were yellow?

Answers

Answer:4/13

Step-by-step explanation:

Number of yellow chicks = 8

Number of black and white chicks = 6

Total number of chicks = 8+6 = 14

The probability of the first yellow chick escaping will be 8 out of 14.

The probability of the second yellow chick escaping will be 7 out of 13 since there'll be 13 chicks left after the first yellow excaped.

Therefore, the probability that both chicks were yellow will be:

= 8/14 × 7/13

= 4/7 × 7/13

= 4/13

Therefore, the probability is 4/13.

estimate 63.730+ 32.73 by first rounding each number to the nearest whole number​

Answers

Answer:

97

Step-by-step explanation:

Round each number to the nearest whole number (the digit directly left to the decimal point.) Note that if the digit to the right of the decimal point is 5 or greater, round up; if it is 4 or lower, round down:

63.730 rounded to the nearest one is 64.

32.73 rounded to the nearest one is 33.

Add:

64 + 33 = 97

97 is your answer.

~

Solve for x. Rolind to the nearest hundredth.

Answers

Your answer is A) 4.41

cos(51°) = x/7
x = 7 • cos(51)
x = 4.4052 = 4.41

Can someone help with this

Answers

It’s -4 because it’s a negative slope first of all cause it’s going down, second you can see it goes down 4 then right 1 so the answer would be -4 :)

4) In A ABC, m B = 25°, b = 12 and c = 21. Find all possible m2 C to the
nearest degree.

Answers

Answer:

47.7° or 132.3°

Step-by-step explanation:

In A ABC, m B = 25°, b = 12 and c = 21. Find all possible mC to the

nearest degree.

We solve the above question using Laws of sines.

The formula is given as

b/sin B = c/sin C

b = 12

B = 25°

c = 21

C = ?

Hence:

12/sin 25 = 21/sin C

Cross Mulitiply

= 12 × sin C = sin 25 × 21

sin C = sin 25 × 21/12

C = arc sin (sin 25 × 21/12)

C = 47.7°

The second possible value of C =

180° - 47.7°

= 132.3°

Therefore, all the possible values of mC = 47.7° or 132.3°

A student flips a coin 58 times. How many times can she expect the coin to land on heads?

Answers

Answer:

well there’s two sides of a coin

so divide 58 by 2 to get 29

Step-by-step explanation:

since there is 2 sides there is 1/2 chances it’ll hit heads if you flip it once. so divide 58 by 2.

hello please help i’ll give brainliest:)

Answers

Answer:

Its is 85

Step-by-step explanation:

It is 85 because you need to see out of all of those numbers which one is one is in the middle so just mark one number from each side untill you get to the middle number!

A function is given by formula f(x)=x+7. What is f(3)?

Answers

Answer:

[tex]f(x) = x + 7 \\ f(3) = 3 + 7 \\ = 10[/tex]

The answer is f(x)= X+7 3+7 =10

Plssss help SUNDAY HOMEWORKKKKKKKKKKKK

Answers

Answer:

already did

Step-by-step explanation:

Taylor graphed a scatter plot of the number of hours she drove (h) and the number of miles she traveled (d). She then found a trend line of her data to be h= 39.5h + 8.5 . What is the predicted distance Taylor will travel if she drives 5 hours?

A. 206
B. 195
C. 232
D. 201

Answers

Answer:

Step-by-step explanation:

39.5*5 + 8.5 = 206

What is the vertex of the graph of the function f(x) = x^2 + 8x - 2?

Answers

Answer:

(-4,-18)

Step-by-step explanation:

go to math(way).com to find the answer

gekbr

hekkrve
hekkeke​

Answers

Answer:

Hello hube seen an alien

Roberta invested $600 $ 600 into a mutual fund that paid 4% 4 % interest each year compounded annually. Write an exponential function of the form =() y = a ( b ) x to describe the value of the mutual fund then use that function to determine the value of the mutual fund in 15 15 years.

Answers

Answer:

600 X (1.04)^15

$1080.57

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r) n

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

600 X (1.04)^15  = $1080.57

What is y⁵×y⁵=
pls answer it is grade 8 work​

Answers

Answer:

y^10

Explanation:

y^a × y^b = y^a+b

Select the situation below that is most likely to produce a 50-50 result. That is, 50% of the time the coin lands on heads and 50% of the time the coin lands on tails


a. Flipping the coin 10 times.
b. Flipping the coin 50 times.
c. Flipping the coin 1,000,000 times.
d. All situations are equally likely to produce a 50-50 result

Answers

Answer:

I believe the correct answer is d

Answer:

The answer is D

Step-by-step explanation:

I took the test :D

Use the fraction strips to compare 2/4 and 5/8. use the drop-down menus to explain your comparison.
Comparing 2/4 and 5/8 is the same as comparing the length of ____ of the 1/4 sections and _____ of the 1/8 sections.

The sections of 2/4 is _____ the length of 5/8. Therefore, 2/4 < 5/8.

Answers

Answer:

 [tex]\frac{2}{4} = 2 *\frac{1}{4} \\[/tex]

So the length of 2 of the 1/4 sections.

 [tex]\frac{5}{8} = 5* \frac{1}{8}[/tex]

So the length of 5 of the 1/8 sections.

Now,

[tex]\frac{2}{4} = x *\frac{5}{8}\\\\x = \frac{2}{4} * \frac{8}{5} = \frac{16}{20} = \frac{4}{5}[/tex]

Therefore 2/4 is 4/5 the length of 5/8.

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