Andre and Elena are each saving money. Andre starts with $100 in his savings account and adds $5 per week. Elena
starts with $10 in her savings account and adds $20 each week.
1. After four weeks, who has more money in their savings account? Explain how you know.
2. After how many weeks will Andre and Elena have the same amount of money in their savings accounts?

Answer:

2x + 3y = -6

Step-by-step explanation:

The equation of the new line will be identical to that of the given line except that the constant term will differ.

Start with the given 2x + 3y = 3 and replace x with 3 and y with -4.  We get:

2(3) + 3(-4) = C, and C = 6 - 12 = -6

The equation of the new line is therefore 2x + 3y = -6

Answer:

95% confidence interval to estimate the true proportion of evens rolled on a die.

(0.197368 , 0.762632)

Step-by-step explanation:

Explanation:-

Given A fit is rolled 25 times and 12 evens are observed

proportion    [tex]p = \frac{x}{n} = \frac{12}{25} = 0.48[/tex]

               q = 1 - p = 1- 0.48 = 0.52

Level of significance =0.05

[tex]Z_{0.05} = 1.96[/tex]

95% confidence interval to estimate the true proportion of evens rolled on a die.

[tex](p^{-} - Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} } )[/tex]

[tex](0.48 - 1.96 \sqrt{\frac{0.48(1-0.48)}{12} } , 0.48 + 1.96 \sqrt{\frac{0.48(1-0.48)}{12} } )[/tex]

( 0.48 - 1.96 (0.1442 , 0.48 + 1.96(0.1442)

( 0.48 - 0.282632 , 0.48 + 0.282632)

(0.197368 , 0.762632)

Final answer:-

95% confidence interval to estimate the true proportion of evens rolled on a die.

(0.197368 , 0.762632)

Answer:

12

Step-by-step explanation:

Interquartile range (IQR) = third quartile (Q3) - first quartile (Q1)

From the box plot given, the first quartile is located at the beginning of the edge of the rectangular box = 73,

the third quartile is located at the other edge of the rectangular box to your right = 85

Answer:

The answer to the question provided is:

[tex]y + 1 = - \frac{6}{13} (x + 8)[/tex]

Step-by-step explanation:

❃Incase you forgot what the point-slope formula is ☟

[tex]y - y_1 = m(x - x_1)[/tex]

❃Incase you also forgot, what the slope formula is ☟

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

➊ First: We are going to be solving for the slope.

[tex]m =  \frac{ - 7 - ( - 1)}{5 - ( - 8)}  =  \frac{ - 6}{ \:  13}  =  - \frac{6}{13} [/tex]

➋Second: Plug in.

[tex]y + 1 = - \frac{6}{13} (x + 8)[/tex]

Answer:

Step-by-step explanation:

5. y=40x

6. y=2.2x

Answer:

The answer is 1

Step-by-step explanation:

Answer:

side c-10.35 Angle a-50.88 Angle B-94.12

Step-by-step explanation:

I found the answers on a khan academy thing. I just took the quiz and got a 100%

Answer:

4

......................

Answer:

Number of free throws =  9

Step-by-step explanation:

Given that:

Kylie made 18% of her free throws.

Number of attempts = 50

Based on the information, she will make out 18% free throws.

Number of free throws = 18% of 50

Number of free throws = [tex]\frac{18}{100}*50[/tex]

Number of free throws = 0.18 * 50

Number of free throws = 9

Hence,

Number of free throws =  9

Answer:

y=5x-8

Step-by-step explanation:

Answer:

D. about 40 miles

Step-by-step explanation:

In order to answer the question, you first need to find how many units on the graph Seaside is from Oceanfront - or how long the line between the two points is.

To do this, use the distance formula, [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].

[tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point.  Use the points of Seaside (by looking on the graph, you can see it's (-2,4)) and Oceanfront (also by looking, you can see it's (3, -2)) for the formula:

[tex]d = \sqrt{((-2)-(3))^2+((4)-(-2))^2\\[/tex]

[tex]d = \sqrt{(-2-3)^2+(4+2)^2}[/tex]

[tex]d = \sqrt{((-5)^2+(6)^2\\[/tex]

[tex]d = \sqrt{25 + 36} \\d = \sqrt{61}[/tex]

[tex]\sqrt{61}[/tex] units is about 7.8 units (you can also tell because it's in between [tex]\sqrt{49}[/tex] and [tex]\sqrt{64}[/tex], which equal 7 and 8). Multiply that by 5 (since each unit on the graph represents 5 miles) and the answer is about 40. So, the answer is D.

Answer:

30 degrees

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

30

Step-by-step explanation:

Answer:

cosA = [tex]\frac{5}{13}[/tex]

Step-by-step explanation:

cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{5}{13}[/tex]

Answer:

$7 per pound

Step-by-step explanation:

28/4

Answer:

Step-by-step explanation:

One point can be the y-intercept. We can see that the y-intercept is (0,-3). -3 is the value of y when x = 0. The next point can be when x = 2. If we plug that in the equation, we get the point (2,-6).

Plotting these two points will graph the equation.

The graph is given below.

Some of the coordinates on the graph are (0, -3, (1, -4.5), and (2, -6).

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

y = (-3/2)x - 3

The coordinates from the given equation are:

When x = 0,

y = - 3

(0, -3)

When x = 1,

y = -3/2  - 3 = (-3 - 6)/2 = -9/2 = -4.5

(1, -4.5)

When x = 2,

y = -3 - 3 = -6

(2, -6)

Now,

The graph of the equation is given below.

Thus,

The graph is given below.

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ2

Answer:

[tex]\angle 1[/tex] and [tex]\angle 3[/tex] are vertical angles and are congruent (have the same measure).

Step-by-step explanation:

[tex]\angle 1[/tex] and [tex]\angle 3[/tex] represent a pair of vertical angles. They are opposite angles to two intersecting lines. Vertical angles are always congruent. None of the other answer choices are implied in the figure.

A. non-contact

B. poles

C. protons

D. attraction

HopeItHelps you

Answer:

1/8

Step-by-step explanation:

Answer: If the sin 60 degrees is 3/2, then the cost is 22 degrees and equals a bunch of like 88 degrees

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

The angles are opposites, so they're congruent.

4x - 5 = 3x + 10

4x - 3x = 10 + 5

x = 15

Answer: 133.33%

Step-by-step explanation:

Max invested $5,700 into the new business.

After 7 years this came out to be $13,300.

The total return is calculated as:

= [(Ending investment amount - Beginning investment amount) / Beginning investment amount] * 100

= [(13,300 - 5,700) / 5,700] * 100

= 133.33%

Answer:

Summary:

Step-by-step explanation:

We know that the diagonals of a parallelogram bisect each other.

As

The parallelogram PQRS is given, so

RT = TP

Given

plug in RT = x and TP = 5x-28 in the equation RT = TP

RT = TP

x = 5x-28

switch the sides

5x-28 = x

adding 28 in both sides

5x-28+28 = x+28

simplify

5x = x+28

subtract x from both sides

5x-x = x+28-x

4x = 28

divide boh sides by 4

4x ÷ 4 = 28  ÷ 4

simplify

x = 7

Therefore, we conclude that the value of x is: x = 7

Similarly,  

QT = TS

Given

plug in QT = 5y and TS = 2y+12 in the equation QT = TS

QT = TS  

5y = 2y+12

subtract 2y from both sides

5y - 2y = 2y+12-2y

simplify

3y = 12

divide both sides by 3

3y ÷ 3 = 12 ÷ 3

simplify

y = 4

Therefore, we conclude that the value of y is: y = 7

Summary: