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
Molodets [167]
3 years ago
8

Samuel took an antique clock that his grandfather had purchased, to be appraised. The appraiser evaluated the current price of t

he clock to be $400 and stated that the value will continue to increase at 2% per year.
Which of the following graphs shows the value of the antique clock, y, in dollars, after x years?

Mathematics
1 answer:
andrew11 [14]3 years ago
6 0
This is an exponential growth problem. Exponential growth can be expressed mathematically in the following way: 
y=a (1+r)^{t}.
Parameter a presents initial amount.
Parameter r is percentage increase. 
Parameter t is time.
An equation that would describe given problem is:
y=400 (1+0.02)^{t}
t is the time in years.
I attached the graph of this function.

You might be interested in
Seven years ago, lan purchased a $265,000 home with a 30-year mortgage at 3.5%. Having recently lost his job, he can no longer a
MariettaO [177]

Answer:

980.82

Step-by-step explanation:

5 0
3 years ago
Need help please<br> please use the image below to answer
spayn [35]

Answer:

Step-by-step explanation:

C and D answers look good

6 0
3 years ago
6m-2 = m+13 how do i solve it
kakasveta [241]
First move the terms to get
6m-m=13+2
Then collect the like terms and calculate the sum, 5m=15
Divide both sides by 5
And you get m=3
4 0
3 years ago
The points A(1, 4), B(5,1) lie on a circle. The line segment AB is a chord. Find the equation of a diameter of the circle.
tangare [24]

Check the picture below.

well, we want only the equation of the diametrical line, now, the diameter can touch the chord at any several angles, as well at a right-angle.

bearing in mind that <u>perpendicular lines have negative reciprocal</u> slopes, hmm let's find firstly the slope of AB, and the negative reciprocal of that will be the slope of the diameter, that is passing through the midpoint of AB.

\bf A(\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad B(\stackrel{x_2}{5}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{1}}}\implies \cfrac{-3}{4} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{slope of AB}}{-\cfrac{3}{4}}\qquad \qquad \qquad \stackrel{\textit{\underline{negative reciprocal} and slope of the diameter}}{\cfrac{4}{3}}

so, it passes through the midpoint of AB,

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad B(\stackrel{x_2}{5}~,~\stackrel{y_2}{1}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{5+1}{2}~~,~~\cfrac{1+4}{2} \right)\implies \left(3~~,~~\cfrac{5}{2} \right)

so, we're really looking for the equation of a line whose slope is 4/3 and runs through (3 , 5/2)

\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{\frac{5}{2}}) \stackrel{slope}{m}\implies \cfrac{4}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{\cfrac{5}{2}}=\stackrel{m}{\cfrac{4}{3}}(x-\stackrel{x_1}{3})\implies y-\cfrac{5}{2}=\cfrac{4}{3}x-4 \\\\\\ y=\cfrac{4}{3}x-4+\cfrac{5}{2}\implies y=\cfrac{4}{3}x-\cfrac{3}{2}

4 0
3 years ago
the length of a rectangle is 4 1/6 inches and the width of the rectangle is 8 2/3 inches what is the area of the rectangle
V125BC [204]
36 1/9 is the area
thanks
8 0
3 years ago
Other questions:
  • Vectorcardiography Suppose the voltage vector of a healthy heart is given by [0.3, 20.2]. Cardiac abnormalities result in change
    15·1 answer
  • 1. Give an example of a repeating decimal where two digits repeat. Explain why your number is a rational number.
    11·1 answer
  • 2 (x- y) = 8 where x = 6
    15·2 answers
  • How do I work out this problem? I’m not sure which circle theorems would apply etc.
    13·1 answer
  • Using a type of logic known as __________, a generalized conclusion can often be drawn from a large number of specific observati
    10·1 answer
  • Pleasseee helppp!!!what is the value of x and y ?
    5·1 answer
  • Choose all of the equations that are equivalent to 8k = 20
    6·2 answers
  • The graph of y =f(x) is shown below. Find all values of x where f (x)=0 (check photo)
    6·1 answer
  • Whats the answer to this
    7·1 answer
  • Solve the following quadratic equation by completing the square: x² + 12x = 15
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!