1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
True [87]
3 years ago
5

The value of a collector’s item is expected to increase exponentially each year. the item is purchased for $500. after 2 years,

the item is worth $551.25. which equation represents y, the value of the item after x years? y = 500(0.05)x y = 500(1.05)x y = 500(0.1025)x y = 500(1.1025)x
Mathematics
1 answer:
sasho [114]3 years ago
8 0

Answer:

y=500(1.05)^x

Step-by-step explanation:

The standard form for an exponential equation is

y=a(b)^x

We have 2 unknowns, a and b, but that's all good because we have 2 (x, y) coordinates we can utilize in order to find a and b.  In our coordinate pair, x is the number of years gone by and y is the value after that number of years.  The problem tells us that an item was purchased for $500.  That translates to "before any time has gone by, the initial value of the item is $500".  In other words, with x being time, no time has gone by, so x = 0.  When x = 0, y = 500.  (0, 500).  Do the same for the next set of numbers.  When x = 2 years gone by, the value is $551.25, so the coordinate is (2, 551.25).  Now we use them to find a.  Use the first coordinate:

500=a(b)^0

Anything raised to the 0 power = 1, therefore:

500 = a(1) and a = 500.

Now onto the next coordinate point using the a value we just found:

551.25 = 500(b)^2

Divide both sides by 500 to get

1.1025=b^2

so b = 1.05.

Now we have the values for a and b, so we fill in:

y = 500(1.05)^x

You might be interested in
Poem about relation in math​
ExtremeBDS [4]

Answer:

in math what type of poem???

3 0
2 years ago
What is 55 plus 65 plus 60 ​
jasenka [17]

Answer:

180

Step-by-step explanation:

calculator.

4 0
3 years ago
Read 2 more answers
Problem PageQuestion An urn contains black and pink balls. Four balls are randomly drawn from the urn in succession, with replac
Shkiper50 [21]

Problem Page Question An urn contains black and pink balls. Four balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all balls drawn from the urn are pink? Round your answer to three decimal places.

8 0
3 years ago
HELP PLEASE! Chords NO and PQ are congruent. Arc NO measures 4x + 10 and Arc PQ measures 2x + 20. What is each of their measures
Elodia [21]
4x + 10 = 2x + 20
4x - 2x = 20 - 10
2x = 10
x = 5
7 0
2 years ago
HELP PLEASE
Gnesinka [82]

Answer: x^2=8y


Step-by-step explanation:

Let the given parabolic mirror opens upwards and vertex=(0,0)

Focus point of the parabolic mirror is located 2 inches from the vertex of the mirror.  ∴ p=2

Since, the parabola opens upward, then the equation of the parabola is of the form x^2=4py

Substitute the value of p=2 in this, we get the equation of the parabolic mirror

x^2=4(2)y\\\Rightarrow\ x^2=8y

Hence, the equation of the parabola that models the cross section of the mirror is x^2=8y

7 0
3 years ago
Read 2 more answers
Other questions:
  • Sean has 1/5 of a cupcake and 1/5 of a large cake. Are they the same?
    5·1 answer
  • Consider these three numbers written in scientific notation.
    9·1 answer
  • A certain investment earns 8 3/4 compound continuously. If 10,000 dollars is invested for 5 years how much will be in the accoun
    11·1 answer
  • Which of the following is a solution of 4x2 = − 9x − 4?
    12·1 answer
  • PLEASE HELP!!!
    15·1 answer
  • Julie needs 3 1/4 cups of oatmeal how many 1/4 cups of oatmeal will she use
    14·2 answers
  • Shortest distance to the origin y=1/2x^2 -4
    5·1 answer
  • A store selling school supplies advertises a bundle deal. The consumer can pick a backpack, a binder, a pack of pencils, and not
    8·1 answer
  • Ad
    10·1 answer
  • PLEASEEEEE help me on these 2 questions.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!