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Katen [24]
3 years ago
13

I need help with 4 5 and 6

Mathematics
1 answer:
Akimi4 [234]3 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)}

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Help pls!! this is a presentation I’m doing in class and I NEED this completed rn, ASAP!!! . What I need is just the answers for
nataly862011 [7]

15. 70° because a right angle is 90° and we have the angle of ADB which is 20°. So 90°-20°=70°.

16. 70° because angle PSQ is 60° and angle QSR is 10°. So 60°+10°=70°.

17. 55° because it says it in the explanation. I assume this is a typo and they meant to ask the measurement of ADC and in that case it would be 130° because angle ADB is 75° and angle BDC is 55°. 75°+55°=130°.

18. 40° because angle PSQ is a right angle which means it's 90°. So 130°-90°=40°.

19. 140° because angle ADB is 120° and angle BDC is 20° so 120°+20°=140°.

20. 125° because again it's in the explanation. But if it's a typo and they meant what is the measurement of PSQ then it is 50° because PSR is 125° and QSR is 75° so 125°-75°=50°.

Hope this helps! :)

5 0
3 years ago
Type the correct answer in each box. use numerals instead of words. students in a reading class have three options for their boo
Alexus [3.1K]

The answers to the questions on how she would use the colored chips are given here:

  • brochure 4 blue chips
  • writing a new article 6 yellow chips
  • designing a computer presentation 10 red chips

<h3>How to solve for the values</h3>

For the first percentage

20 / 100 = x/20

= 20 * 20 = 100x

400 = 100x

divide through by 100

x = 400/100

x = 4

For the second percentage

30/100 = x/20

600 = 100x

x = 600/100

x = 6

For the last

50/100 = x/20

1000 = 100x

x = 10

The proof is that 6 + 4 + 10 still gives us 20

Read more on percentages here: brainly.com/question/24877689

#SPJ1

4 0
2 years ago
the sum of ages of father and his son is 60 years.if the difference between their ages is 40 years then find the age of father a
cluponka [151]

Answer:

Father's age is 50, Son's age is 10

Step-by-step explanation:

X+Y=60

X-Y= 40

Let X represent the Father's age while Y represents the Son's age;

therefore, from the two equations, the value of X is

X= 60-Y

X= 40+Y  then putting in the value of x

(40+Y) + Y= 60,

40+2Y=60

2Y=60-40 =20

Y= 10,

Now that we know the value of Y, we can get the value of x

If X+Y=60, then

X+10=60,

X=60-10,

X= 50

8 0
3 years ago
Read 2 more answers
Answer my four questions below and you will get 20 points.
Mice21 [21]
1) 1 + 1 = 2

2) 1 - 1 = 0

3) 1 * 1 = 1

4) 1 / 1 = 1

Hope this helps!
5 0
3 years ago
Read 2 more answers
It is believed that 11% of all Americans are left-handed. In a random sample of 100 students from a particular college with 1012
tia_tia [17]

Answer:

Step-by-step explanation:

We can calculate this confidence interval using the population proportion calculation. To do this we must find p' and q'

Where p' = 14/100= 0.14 (no of left handed sample promotion)

q' = 1-p' = 1-0.14= 0.86

Since the requested confidence level is CL = 0.98, then α = 1 – CL = 1 – 0.98 = 0.02/2= 0.01, z (0.01) = 2.326

Using p' - z alpha √(p'q'/n) for the lower interval - 0.14-2.326√(0.14*0.86/100)

= -2.186√0.00325

= -2.186*0.057

= 12.46%

Using p' + z alpha √(p'q'/n)

0.14+2.326√(0.14*0.86/100)

= 0.466*0.057

= 26.5%

Thus we estimate with 98% confidence that between 12% and 27% of all Americans are left handed.

6 0
3 years ago
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