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
pentagon [3]
3 years ago
6

The median price, P, of a home rose from $50 thousand in 1980 to $150 thousand in 2000. Let t be the number of years since 1980.

If instead the housing prices increased exponentially, find an equation of the form P = Poa t to represent housing prices. Again, P is measured in thousands. (Round your answer for a to 6 decimal places.)
Mathematics
2 answers:
Darya [45]3 years ago
8 0

Answer: P=50,000(1.056467)^t

Step-by-step explanation:

Here the function that shows the price of home after t years,

P=P_0(a)^t

Where,

P_0 is the initial price of home,

a is the growth factor,

t is the time.

Here, The Initial price of home,

P_0 = $ 50,000

P = $ 150,000

Time since 1980, t = 20 years.

Thus, 150,000=50,000(a)^{20}

3=(a)^{20}

a=(3)^{1/20} =1.05646730855\approx 1.056467

Thus, the complete function that shows the price of home after t years,

P=50,000(1.056467)^t


Assoli18 [71]3 years ago
6 0
150,000 = 50000a^20
a^20 = 150000/50000 = 3
a = 20th root of 3 = 1.056467

Required equation is P = 50000(1.056467)^t
You might be interested in
Solve by elimination <br><br>-8x+8y=19<br><br>-4x+4y=8
Harrizon [31]

Answer: the first one :x=y+ −19 /8

the second one:  x=y−2

Step-by-step explanation:

6 0
3 years ago
Given f(x) = 2 sin x, find the exact value of f (7pi/6) in simplest form with a rational denominator.​
IrinaVladis [17]

Answer:

           \bold{f(\frac{7\pi}6)=-1}

Step-by-step explanation:

f(\frac{7\pi}6)=2\sin(\frac{7\pi}6)=2\sin(\frac{7\pi}6)=2\sin(\pi+\frac{\pi}6)=-2\sin(\frac{\pi}6)=-2\cdot\frac12=-1

6 0
2 years ago
You and your friend are selling tickets to a charity event. You sell 11 adult tickets and 8 student tickets for $158. Your frien
svetlana [45]
So what we have to do to solve this problem is to write down those values in 2 equations (one that represents what you sold and the other what your friend sold) compare them and find how much each ticket is worth.
First equation : 11x + 8y = 158
Where x = how much each adult ticket is
and y = how much each student ticket is

The second equation is : 5x + 17y = 152

Using the method of substitution , we can compare each equation side by side:
11x + 8y = 158
5x + 17y = 152
Now we need to set one of the variables of both equations so they are equal:
11(5)x + 8(5) = 158(5)
5(11)x + 17(11)x = 152(11)

55x + 40y = 790
55x + 187y = 1672

Then we subtract the second equation by the first one

55x-55x + 187y - 40y = 1672 - 790
147y = 882
y = 6
The we apply y to one of the equations to discover x :
11x + 8y = 158
11x + 8(6) = 158
11x + 48 = 158
11x = 110
x = 10

So the awnser is :
Each adult ticket (x) is $10
And each student ticket (y) is $8
I hope you understood my explanation,
7 0
3 years ago
Read 2 more answers
Carlos is using the quadratic formula to find the solutions of y=3x^2-5x-2. Which of the following will simplify to the correct
Nana76 [90]

Answer:

Fx=\frac{5\pm\sqrt{25+24} }{6}

Step-by-step explanation:

A quadratic equation in one variable given by the general expression:

ax^2+bx+c

Where:

a\neq 0

The roots of this equation can be found using the quadratic formula, which is given by:

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

So:

y(x)=3x^2-5x-2=0

As you can see, in this case:

a=3\\b=-5\\c=-2

Using the quadratic formula:

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}=\frac{-(-5)\pm\sqrt{(-5)^2-4(3)(-2)} }{2(3)}=\frac{5\pm\sqrt{25+24} }{6}

Therefore, the answer is:

Fx=\frac{5\pm\sqrt{25+24} }{6}

4 0
3 years ago
Solve the equation given in Exercise 15 with and without using the LCD of the fractions. Are your answers the same?
Colt1911 [192]
Without LCD :
1/2(4x + 6) = 1/3(9x - 24)
2x + 3 = 3x - 8
2x - 3x = -8 - 3
-x = - 11
x = 11

with LCD :
1/2(4x + 6) = 1/3(9x - 24) ...multiply by 6
3(4x + 6) = 2(9x - 24)
12x + 18 = 18x - 48
12x - 18x = -48 - 18
-6x = - 66
x = -66/-6
x = 11

Yes, the answers are the same :)

3 0
3 years ago
Other questions:
  • What is the domain and range of <br> f(x)=2x^2+6x+2
    6·1 answer
  • What is 3.92 times 0.051?
    15·2 answers
  • A mapping diagram showing a relation, using arrows, between input and output for the following ordered pairs: (negative 3, negat
    13·2 answers
  • What is the difference in length between a 1 1/4 inch button and a 3/8 inch button?
    5·1 answer
  • What’s 33345 times 234654?
    15·1 answer
  • The owner of 12 book stores is buying 32 copy's of a book for each of his stores. How many books will he buy in all?
    12·1 answer
  • can earn 5 coins In my town, gas prices are always listed to the thousandths place. Since the smallest coin we have is the penny
    14·1 answer
  • Sons to account for the huge difference in the carbohydrate conte
    11·1 answer
  • Help ASAP brainliest
    5·1 answer
  • What could you do to make the inequalities that are not true into true statements
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!