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Nadya [2.5K]
3 years ago
5

You have $576 in your checking account. Your cell phone company deducts $32 each month from your account. If you do not put any

more money into your account, how long will it take for your account balance to be $0? A) 12 months Eliminate B) 14 month C) 16 months D) 18 months
Mathematics
1 answer:
xenn [34]3 years ago
7 0

D) 18 months. if you do $576 divided by $32 you will end up with 18 which will be the amount of months it will take.

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Given:
Maksim231197 [3]

Answer:

Option B is correct.

\triangle RST \cong \triangle TUR  

Step-by-step explanation:

Given: RSTU is a parallelogram.

By definition of parallelogram, two pairs of opposite sides are congruent in length.

⇒TU \cong RS and TS \cong RU

In triangle RST and  triangle TUR

RS \cong TU  [Side]  

TS \cong RU  [Side]

RT \cong RT   [Common side]

SSS(Side-Side-Side) postulates states that if three sides of one triangle are congruent to three sides of other triangle, then the triangles are congruent.

then, by SSS postulates we have;

\triangle RST \cong \triangle TUR    


7 0
4 years ago
Read 2 more answers
Determine the x and y intercepts<br>2x-3y=48​
qaws [65]

Answer:

x-intercept is 24 , y-intercept is -16

Step-by-step explanation:

* Lets explain how to solve the problem

- The x-intercept is the x-coordinate of the point of intersection

 between the graph of the equation and the x-axis ⇒ (x , 0)

- To find the x-intercept substitute the value of y in the equation by 0

- The y-intercept is the y-coordinate of the point of intersection

 between the graph of the equation and the y-axis ⇒ (0 , y)

- To find the y-intercept substitute the value of x in the equation by 0

* Lets solve the problem

∵ 2x - 3y = 48

- To find the x-intercept substitute y by 0

∴ 2x - 3(0) = 48

∴ 2x = 48

- Divide both sides by 2

∴ x = 24

∴ The graph intersects the x-axis at point (24 , 0)

* The x-intercept is 24

∵ 2x - 3y = 48

- To find the y-intercept substitute x by 0

∴ 2(0) - 3y = 48

∴ -3y = 48

- Divide both sides by -3

∴ y = -16

∴ The graph intersects the y-axis at point (0 , -16)

* The y-intercept is -16

4 0
4 years ago
You have a biased coin for which p(h)=pp(h)=p. you toss the coin 2020 times. what is the probability that you observe 88 heads a
Nat2105 [25]
The question describes a binomial probability with p(h) = p, then p(t) = 1 - p and number of trials (n) = 20

The probability of a binomial distribution is given by

P(x)=\, ^nC_xp^x(1-p)^{n-x}

Part A:

The probability of observing 8 heads and 12 tails is given by:

P(8)=\, ^{20}C_8p^8(1-p)^{20-8}=\, ^{20}C_8p^8(1-p)^{12}



Part B:

<span>You observe more than 8 heads and more than 8 tails, when you observe 9 heads and 11 tails, 10 heads and 10 tails, and 11 heads and 9 tails.

Therefore, the probability of </span><span>observing more than 8 heads and more than 8 tails</span> is given by:

P(9)+P(10)+P(11) \\  \\ =\, ^{20}C_9p^9(1-p)^{20-9}+\, ^{20}C_{10}p^{10}(1-p)^{20-10}+\, ^{20}C_{11}p^{11}(1-p)^{20-11} \\  \\ =\, ^{20}C_9p^9(1-p)^{11}+\, ^{20}C_{10}p^{10}(1-p)^{10}+\, ^{20}C_{11}p^{11}(1-p)^{9}
7 0
3 years ago
Consider the quadratic equations
Debora [2.8K]
Consider the two functions as
<span>y1(x) =3x^2 - 5x, 
y2(x) = 2x^2 - x - c

The higher the value of c, father apart the two equations will be.
They will touch when the difference, i.e. y1(x)-y2(x)=x^2-4*x+c has a discriminant of 0.
This happens when D=((-4)^2-4c)=0, or when c=4.
(a)
So when c=4, the two equations will barely touch, giving a single solution, or coincident roots.
(b) 
when c is greater than 4, the two curves are farther apart, thus there will be no (real) solution.
(c) 
when c<4, then the two curves will cross at more than one location, giving two distinct solutions.

It will be more obvious if you plot the two curves in a graphics calculator using c=3,4, and 5.


</span>
6 0
4 years ago
Read 2 more answers
Decompose the mixed number 1 3/5
Alex787 [66]

Answer: 8/5

Step-by-step explanation:  1x5+3=8/5

please mark as brainliest! :)

7 0
2 years ago
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