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
Katen [24]
2 years ago
13

I need help with 4 5 and 6

Mathematics
1 answer:
Akimi4 [234]2 years ago
7 0
<h2>4. Create a table, write an equation,  AND show all your work.</h2>

Currently the stock is $62 and has been decreasing 3% each month. So, if we call x=0 the first month then:

at \ x=0 \ y=62 \\ \\ at \ x=1 \ y=62-62\times 3\%=60.14 \\ \\ at \ x=2 \ y=60.14-60.14\times 3\%=58.3358 \\ \\ at \ x=3 \ y=58.3358-58.3358\times 3\%=56.5857 \\ \\ at \ x=4 \ y=56.5857-56.5857\times 3\%=54.8881 \\ \\ at \ x=5 \ y=54.8881-54.8881\times 3\%=53.2414

So the Table is:

\left[\begin{array}{cc}x & y\\0 & 62\\1 & 60.14\\2 & 58.3358\\3 & 56.5857\\4 & 54.8881\\5 & 53.2414\end{array}\right]

This is an exponential function because it has a constant ratio.

From our values, we can conclude that the equation is:

y=62(100%-3%)^{x} \\ \\ \boxed{y=62(0.97)^{x}}

In five months, the stock will be $53.2414

<h2>5. Write the exponential function</h2>

We are given two points:

P_{1}(0,5) \\ \\ P_{2}(3,135)

We know that the exponential function is given by the form:

y=ab^{x}

So:

\bullet \ If \ x=0 \ then \ y=5 \\ \\ 5=ab^{0} \therefore a=5 \\ \\ \\ \bullet \ If \ x=3 \ y=135 \\ \\ 135=ab^{3} \therefore ab^{3}=135 \\ \\ \\ Finding \ b: \\ \\ \frac{ab^{3}}{a}=\frac{135}{5} \\ \\ b^3=27 \therefore b=\sqrt[3]{27} \therefore \boxed{b=3}

Then:

\boxed{y=5(3)^{x}}

<h2>6. Slope, length and midpoint</h2>

Here we are given two points:

A(4,9) \ and \ B(-2,3)

So, the slope can be found as:

m=\frac{Change \ in \ y}{Change \ in \ x} \\ \\ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ m=\frac{3-9}{-2-4} \\ \\ \boxed{m=1}

Using the distance formula we can find the length:

d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2} \\ \\ d=\sqrt{(-2-4)^2+(3-9)^2} \\ \\ d=\sqrt{36+36} \\ \\ d=\sqrt{72} \\ \\ \boxed{d=6\sqrt{2}}

To find the midpoint, we have to use the midpoint formula:

Midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2}) \\ \\ Midpoint=(\frac{4-2}{2},\frac{9+3}{2}) \\ \\ \boxed{Midpoint=(1,6)}

You might be interested in
Choose the graph below that represents the following system of inequalities:
castortr0y [4]
Yshejrhhe is they easiest of them all and as you can see I just can’t fail it bro ik too smart yk it’s y>-3x +1-5
7 0
2 years ago
Solve for y.<br> 2x-3y=9
cluponka [151]

Answer:

y = 2/3x - 3

Step-by-step explanation:

Step 1: Write equation

2x - 3y = 9

Step 2: Solve for <em>y</em>

  1. Subtract 2x on both sides: -3y = 9 - 2x
  2. Divide both sides by -3: y = -3 + 2/3x
  3. Rewrite: y = 2/3x - 3
6 0
3 years ago
I NEED HELP !!!!!!!!!!! THIS DUE TODAY!!!!!!!!!!!! IT IS URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
rusak2 [61]

Answer:

they only had one pair of trunks

Step-by-step explanation: i hope that helps you

4 0
3 years ago
Ashley bought some books. She spent a total of $58 after a discount of $8 off of her total purchase. Each book cost $6. How many
Artyom0805 [142]

Answer:

11 books

b=(58+8)/6

Step-by-step explanation:

58+8=66

66/6=11

11

6 0
3 years ago
Work out the area of a parallelogram of base 10cm and height 4cm
mart [117]
40 cm
............................
5 0
3 years ago
Other questions:
  • Write a flow chart for the following
    9·1 answer
  • Type the correct answer for each.
    13·1 answer
  • Shaun and trudy are selling raffle tickets. So far shaun has sold x tickets. Trudy has sold 3 more tickets than half the number
    15·2 answers
  • My project has me plotting points on an uneven paper. How do I do this?
    8·2 answers
  • Which of the following is the reason for statement #7 in the table above
    6·1 answer
  • Dimensional <br> 528 feet to miles
    14·1 answer
  • Help me with this please ;(
    8·2 answers
  • The maximum land speed of a cheetah is about 120km/hour.
    5·1 answer
  • Help help help math math
    10·2 answers
  • In which of the following do you expect the correlation coefficient to be negative?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!