Read the short scenario and answer the question that follows.
​Lisa's credit card balance this month is​ $969.16. Her APR​ (annual percentage​ rate) is 15.24​ %. The minimum payment due is​ $20.00.
If she pays only the minimum each month and does not add any more​ charges, how long will it take her to pay off the entire​ balance?
Choose the correct answer below.
A.
about 10 years
B.
about 6 years
C.
about 3 years
D.
about 1 year

Considering that each of 2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5, the probability distribution is given by:

[tex]P(X = 1) = 0.1111[/tex]

[tex]P(X = 2) = 0.2222[/tex]

[tex]P(X = 3) = 0.1111[/tex]

[tex]P(X = 4) = 0.2222[/tex]

[tex]P(X = 5) = 0.1111[/tex]

[tex]P(X = 6) = 0.2222[/tex]

The symbolic distribution is:

[tex]P(X = 1) = y[/tex]

[tex]P(X = 2) = x[/tex]

[tex]P(X = 3) = y[/tex]

[tex]P(X = 4) = x[/tex]

[tex]P(X = 5) = y[/tex]

[tex]P(X = 6) = x[/tex]

The sum of all probabilities is 1, hence:

[tex]3x + 3y = 1[/tex]

Simplifying by 3:

[tex]x + y = 0.3333[/tex]

[tex]y = 0.3333 - x[/tex]

2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5, hence:

[tex]x = 2y[/tex]

[tex]x = 2(0.3333 - x)[/tex]

[tex]3x = 0.6667[/tex]

[tex]x = \frac{0.6667}{3}[/tex]

[tex]x = 0.2222[/tex]

Then:

[tex]y = 0.3333 - x = 0.3333 - 0.2222 = 0.1111[/tex]

Hence, the distribution is:

[tex]P(X = 1) = 0.1111[/tex]

[tex]P(X = 2) = 0.2222[/tex]

[tex]P(X = 3) = 0.1111[/tex]

[tex]P(X = 4) = 0.2222[/tex]

[tex]P(X = 5) = 0.1111[/tex]

[tex]P(X = 6) = 0.2222[/tex]

A similar problem is given at https://brainly.com/question/24855677

Answer:

y = 1 + 2x

or

y = 2x + 1

Step-by-step explanation:

I hope this helps!

Let "x" represent the chicken's age.

"Y "demonstrates the ounces.

Answer:

232.96$

Step-by-step explanation:

Answer: 86.90$

Step-by-step explanation:

10/79=7.90$. 7.90$ + 79.00$= 86.90$

Answer: no<3

Step-by-step explanation:

leave a thanks if helped plz

Answer:

I have a couple questions before I answer, what do the 2 dashes represent and are the 4s also under the square root?

Answer: y=3(4)x

Explanation: I took the test

The function represented in the graph is y = 3 (4ˣ).

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

From the given graph, consider any point.

Consider the point (0, 3).

That is, when x = 0, the value of y is 3.

We have the parent function as,

y = 4ˣ

Then the function represented will be of the form,

y = m (4ˣ)

Substitute the point (0, 3).

3 = m (4⁰)

3 = m × 1   [since any number raised to 0 is 1]

m = 3

So the function is y = 3 (4ˣ).

Hence the function is y = 3 (4ˣ).

Learn more about Functions here :

https://brainly.com/question/17939507

#SPJ3

Your question is incomplete. The complete question is as given below in the image.

Answer:

C(-1, -4)

Step-by-step explanation:

see the point reflected over the line through the vertex point

Answer:

D. Q′ (−4, −3)

Step-by-step explanation:

From looking at the graph it looks like the answer would be

Q= (3, -4) if the X-axis goes first

Q= (-4, 3) if the Y-axis goes first

Answer:

in armed forces is .15%

military dependant is 3%

and civilian is 96%

Step-by-step explanation:

hope this helps! ❄︎

Answer:

m∠A=88°

Step-by-step explanation:

∠ABC=∠ACB=46° (base angles of isos triangle)

           ∠BAC=180°-46°-46° (angle sum of triangle)

                     =88°

The standard form of the function is [tex]4x^2+48x + 149[/tex]

The standard quadratic equation is expressed as:

Given the vertex form of an equation expressed as [tex]g(x) = 4(x + 6)^2 + 5[/tex]

Expand the expression:

[tex]f(x) = 4(x + 6)^2 + 5\\f(x) = 4(x^2+12x + 36) + 5\\f(x) = 4x^2+48x + 149\\[/tex]

Hence the standard form of the function is [tex]4x^2+48x + 149[/tex]

Learn more on standard form here: https://brainly.com/question/19169731

Answer:

X=5

Step-by-step explanation:

Collect like terms then move the terms. Then collect liked terms. Calculate and Chang signs

Answer:

X = 5

Remember, x has a hidden one behind it, so it would be 1x

3x - 2(x + 1) = 2x - 7

Use the distributive property to multiply −2 by x+1.

3x−2x−2=2x−7

Combine 3x and −2x to get x

x−2=2x−7

Subtract 2x from both sides

x−2−2x=−7

Combine x and −2x to get −x

−x−2=−7

Add 2 to both sides

−x=−7+2

Add −7 and 2 to get −5

−x=−5

multiply both sides by -1

x=5

Answer:

1.34

Step-by-step explanation:

2x67/100

= 134/100

= 1.34

9514 1404 393

Answer:

  10.49

Step-by-step explanation:

Since we know 110 = 10² +10, we can make a first approximation to the root as ...

  √10 ≈ 10 +10/21 . . . . . where 21 = 1 + 2×integer portion of root

This is a little outside the desired approximation accuracy, so we need to refine the estimate. There are a couple of simple ways to do this.

One of the best is to use the Babylonian method: average this value with the value obtained by dividing 110 by it.

  ((220/21) + (110/(220/21)))/2 = 110/21 +21/4 = 881/84 ≈ 10.49

An approximation of √110 accurate to hundredths is 10.49.

__

The other simple way to refine the root estimate is to carry the continued fraction approximation to one more level.

For n = s² +r, the first approximation is ...

  √n = s +r/(2s+1)

An iterated approximation is ...

  s + r/(s +(s +r/(2s+1)))

The adds 's' to the approximate root to make the new fraction denominator.

For this root, the refined approximation is ...

  √110 ≈ 10 + 10/(10 +(10 +10/21)) = 10 +10/(430/21) = 10 +21/43 ≈ 10.49

_____

Additional comment

Any square root can be represented as a repeating continued fraction.

  [tex]\displaystyle\sqrt{n}=\sqrt{s^2+r}\approx s+\cfrac{r}{2s+\cfrac{r}{2s+\dots}}[/tex]

If "f" represents the fractional part of the root, it can be refined by the iteration ...

  [tex]f'=\dfrac{r}{2s+f}[/tex]

__

The above continued fraction iteration adds 1+ good decimal places to the root with each iteration. The Babylonian method described above doubles the number of good decimal places with each iteration. It very quickly converges to a root limited only by the precision available in your calculator.

Answer:

5 beats per second

Step-by-step explanation:

statistic operation depends

Answer:

Step-by-step explanation:

order is not important so

25 ways to fill the first spot

24 ways to fill the second

23 ways to fill the third

...

19  ways to fill the 7th

25•24•23•22•21•20•19 = 2,422,728,000

which also equals 25! / (25 - 7)!

[tex]g(x) = 4 |x| = x = 0[/tex]

we know he filled 2/3 of the bucket in 15mins, how long for the "whole", namely 3/3 = whole, bearing in mind that 3/3 = 1, just the same as 7/7 = 1 or 1,000/1,000 = 1, so one whole is always 1 fraction wise.

[tex]\begin{array}{ccll} fraction&mins\\ \cline{1-2} \frac{2}{3}&15\\[1em] \underset{whole}{1}&x \end{array}\implies \cfrac{~~ \frac{2}{3}~~}{1}=\cfrac{15}{x}\implies \cfrac{2}{3}x=15\implies \cfrac{2x}{3}=15 \\\\\\ 2x=45\implies x=\cfrac{45}{2}\implies x=22\frac{1}{2}\qquad \textit{22 minutes and 30 seconds}[/tex]

Answer:

29.5

Step-by-step explanation:

Multiply 606 and 20.5 and get 29.5.

Answer:

83

Step-by-step explanation:

415/5

= 83

Answer:

81 people

Step-by-step explanation:

Answer:

5^6

Step-by-step explanation:

5 was multiplied repeatedly 6 times, so it's 5 to the power of 6

Answer:

5 to the power of 6 or 5^6

Step-by-step explanation:

Answer:

10.5

Step-by-step explanation:

Given the two similar triangles below, which proportion is not true?

i need help with this can ya help

Sorry i know this isnt an answer.

Hello this will be easy for you.

Look at the picture, you have the angle UTR which is of 90° degrees. Thus the angle UTS is also 90° .

But the sum of the angles of a triangle is by property equal to 180° so the angle UVT must be equal to 180-90-64 = 26°.

Now we are getting near to solve that x+8 degrees angle.

Recall that UVT is 26° ok ? So 180-26 = x+8

Thus

x+8 = 154

x = 154 - 8

x = 146

Finally the angle UVS = 154 and the value of x = 146

You can see all the angles in the image attached below

Good luck you will be the best

Answer:

what da hel.l I didn't understood anything

Answer:

you sold fewer than 100 tickets. you only sold 50 tickets out of your 100 ticket goal.

Answer:

   0.044

Step-by-step explanation:

The joint probability of independent events is the product of their individual probabilities.

  P(bar & Africa) = P(bar)×P(Africa) = 0.19×0.23 ≈ 0.044

Answer:

Step-by-step explanation:

Answer:

yahoooooooooooooooo

Step-by-step explanation: