Allison decided to start by saving $10 the first week of the year in her bank. Then, the next week she would save $2 more dollars than the previous week and put that in the bank (e.g. on week 2 she saved $12). If she kept increasing the amount in this way how much will she have saved in total by the end of the year? Question 4 options: $112 $114 $3172 $3340

Answer:

[tex]\left[\begin{array}{ccc}3&-1&\\-1&1/2\\\end{array}\right][/tex]

Step-by-step explanation:

The matrix system for the linear equations: x + 2y = 8, 2x + 6y = 9

[tex]\left[\begin{array}{ccc}1&2&\\2&6\\\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}8\\9\end{array}\right][/tex]

To get the coefficient of x and y, the inverse of the first matrix (let the first matrix be A) must be known.

[tex]A^{-1}[/tex] = (1 / determinant of A) x Adjoint of A

the determinant of A = (1 x 6) - (2 x 2) = 6 - 4 = 2

Adjoint of A = [tex]\left[\begin{array}{ccc}6&-2&\\-2&1\\\end{array}\right][/tex]

[tex]A^{-1}[/tex]= [tex]\frac{1}{2} \left[\begin{array}{ccc}6&-2\\-2&1\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}3&-1&\\-1&1/2\\\end{array}\right][/tex]

Answer:

p²-2p+3

Step-by-step explanation:

(p + 3)(1 - p)​

p-p²+3-3p

=p²-2p+3

Hope this helps :)

Answer:

A. 1/2 inch:10 miles

Step-by-step explanation:

1/2*4.5=2 1/4

10*4.5=45

Answer:

The walkway is approximately 34.64 feet long

Step-by-step explanation:

The length of the sides of the equilateral triangle shaped the city garden = 40 feet

The path of the walkway = From the midpoint of a side to the opposite vertex

Therefore, we have;

Let x, represent the length of the walkway

We have that the x, a side of the equilateral triangle, and half the side of the location of the gate, forms a right triangle, with a side of the equilateral triangle representing the hypotenuse side

Therefore, we have;

40² = x² + (40/2)²

40² = x² + 20²

x² = 40² - 20² = 1200

x = √1200 = 20·√3

The length of the walkway = x = 20·√3 ≈ 34.64 feet.

Answer:

b

Step-by-step explanation:

Answer:

80 minutesssssss

Answer:

(edit) your answer is 80 min

Step-by-step explanation:

first we can set this up as a proportion.

so it would be 15 over 6 and your other side would be x over 32

so when u cross multiple your equation would be 6x = 480

then you divide both sides by 6 and when you divide 480 by 6 u will get 80

Answer:

6

Step-by-step explanation:

The fraction 24/4 simplified is 6.

To simplify the fraction 24/4, we find the greatest common divisor (GCD) of the numerator (24) and the denominator (4), and then divide both the numerator and denominator by the GCD to obtain the simplified form.

Step 1: Find the GCD of 24 and 4.

The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.

The factors of 4 are 1 and 4.

The GCD of 24 and 4 is 4, as it is the largest number that divides both 24 and 4.

Step 2: Divide both the numerator and denominator by the GCD.

24 ÷ 4 = 6

4 ÷ 4 = 1

So, the simplified form of 24/4 is 6/1. However, any fraction divided by 1 remains the same, so the simplified fraction is 6.

Therefore, 24/4 simplified is 6.

To know more about fraction:

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Answer:

9

Step-by-step explanation:

9+9+18

18+3=21

Answer:

yesn't

Step-by-step explanation:

Answer:

yes last Friday i did this and i do it the same i got it correct.

Step-by-step explanation:

Answer:

[tex]-\frac{2}{3}[/tex]

Step-by-step explanation:

We can use the rise over run method to do this question.

Let's start at the coordinates (1,1)

If we go down 2 from that point and to the right 3 times then we see another point on the line (3, -1).

We would express this as 2 over 3 or [tex]\frac{2}{3}[/tex].

We aren't done yet however.

The line is sloping downwards and this means that the slope is negative.

So, the final answer is [tex]-\frac{2}{3}[/tex]

I hope this helps!!

- Kay

Step-by-step explanation:

angle MNP = angle QPL (corresponding angles, //lines) (A)

angle QLP is common angle (A)

By AA, the 2 triangles are similar.

Topic: congruence and similarity

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Answer:

1.67 pounds

Step-by-step explanation:

The problem above can be solved by using "direct proportion." This proportion shows that as one quantity increases, the other quantity increases and vice-versa.

Step 1: Represent the weight of the person on the moon by n.

Step 2: Set up a proportion.

            [tex]\frac{105}{175}[/tex] = [tex]\frac{1}{n}[/tex]

Step 3: Cross multiply.

            105 x n = 175 x 1

            105n = 175

Step 4: Find n by dividing both sides by 105.

            n = [tex]\frac{175}{105}[/tex]

            n = 1.666 or 1.67 pounds (lowest term)

A pound of person on Earth will weigh 1.67 pounds on the moon.

Answer:

was

went

began

did

made

grow

sell

get

rang

I don't know if it's right though?

Answer:

was

went

began

did

made

grew

sold

got

rang

Answer:

473 or 472, depends on how you round

Step-by-step explanation:

378/4 = 94.5

94.5 x 5 = 472.5

The number of votes she gets will be 473.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

2. After election results of 378 votes were tallied, the new student-body president won by a margin of 5 to 4.

Then the number of votes she gets that will be

→ 378 x 5 / 4

→ 378 x 1.25

→ 472.5 ≅ 473

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Answer:

25 minutes

Step-by-step explanation:

Because 3 × 5 is 15 problems so multiple he 5 minutes by 5 and you get 25 minutes.

Answer:

7505÷11 = 682.27272727

Step-by-step explanation:

or you can just put a line over the 27

Answer:

Step-by-step explanation:

7505÷11= 682.272727

Answer:113

Step-by-step explanation:

Answer:

50.24

Step-by-step explanation:

A = Πr^2

A = 3.14(4)^2

A = 50.24

Answer:

5 2/3 inches.

Step-by-step explanation:

8-2=6 minutes and 5-3=2 inches so it lost 2 inches in 6 minutes. This means it loses an inch every three minutes. Since we have to go back by 2 minutes we will have to figure out how much length we have to add to the candle to figure out how long it was originally by multiplying by 2/3 as 2 inches is 2/3 the required to remove an inch, so 1 inch * 2/3 = 2/3 of an inch. Add that to the length at two minutes and we have 5 2/3 inches as its original size.

Answer:

Option D.) y = 3/5 + 1/5

Step-by-step explanation:

First, we find the Slope using the formula: m = y2 - y1/x2 - x1

You may choose any two points but I will use these two for no reason at all.)

Points: (3,2) and (8,5)

m = y2 - y1/x2 - x1

m = 5 - 2/8 - 3

m = 3/5

Now that we have the slope, we can now find the Slope Intercept Form by using the Slope Form Formula. (need at least one point and slope.)

Formula: y - y1 = m(x - x1)

Point: (3,2) (you may choose any point but I will choose this for no reason at all xD)

y - y1 = m(x - x1)

y - 2 = 3/5(x - 3)

y - 2 = 3/5x - 9/5

y - 2 = 3/5x - 9/5

y = 3/5x - 9/5 + 10/5 (2 can be is any fraction that consists of the numerator multiplied twice by the denominator, such as 2/1, 4/2, 8/4, etc.)

y = 3/5 + 1/5

The final equation of the line can be written as -

y = (3/5)x + 1/5

The general equation of a straight line is given by -

y = mx + c

Given is a line that passes through the points (3, 2), (8, 5), (13, 8) and (18, 11).

The line passes through the points (3, 2) and (8, 5). Therefore, the slope of the line will be -

m = (5 - 2)/(8 - 3) = 3/5

Now, consider the line : y = mx + c. For a point (3, 2) -

2 = (3/5) x 3 + c

2 = 9/5 + c

c = 2 - 1.8

c = 0.2

c = 1/5

Therefore, the final equation of the line can be written as -

y = (3/5)x + 1/5

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Answer:

x = 12 m

Step-by-step explanation:

Length = x m

Width = 3⅔ = 11/3

Area = 44 m²

Area of rectangle = length × width

Plug in the values into the equation

[tex] 44 = x \times \frac{11}{3} [/tex]

[tex] 44 = \frac{11x}{3} [/tex]

Multiply both sides by 3

[tex] 44 \times 3 = \frac{11x}{3} \times 3 [/tex]

[tex] 132 = 11x [/tex]

Divide both sides by 11

[tex] 12 = x [/tex]

x = 12

Answer:

Purplemath

Recall that negative exponents indicates that we need to move the base to the other side of the fraction line.

(The "1's" in the simplifications above are for clarity's sake, in case it's been a while since you last worked with negative powers. One doesn't usually include them in one's work.)

In the context of simplifying with exponents, negative exponents can create extra steps in the simplification process.

Step-by-step explanation:

Answer: One solution

Step-by-step explanation:

When the lines intersect in one spot, there's one solution. The lines have different slopes, so there's only one solution.

Answer:

3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Given:  

Initial number of bottles = 250

Every week = 40% is sold and 48 bottles arrive.

Week 1 = 250 - (250 x 0.40) + 48 = 250 - 100 + 48 = 198

Week 2 = 198 - (198 x 0.40) + 48 = 198 - 79 + 48 = 167

Answer is: A. f(n ) = f(n - 1) • 0.6 + 48, n > 0.

Answer:

0.012

Step-by-step explanation:

Answer:

12 liters

Step-by-step explanation:

on google