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grin007 [14]
3 years ago
12

Susan opened a college savings account 4 years ago. She opened the account with an initial deposit of $3,000. Starting the next

year, she deposited $1,000 on the same day each year. The account earns interest at an annual rate of 4.15% and is compounded annually. Susan hopes to have earned enough interest to pay for her first year of college tuition, which costs $7,100. What is the difference between her ending balance after 4 years and the cost of her tuition?
Mathematics
2 answers:
Oksi-84 [34.3K]3 years ago
6 0
What did you sayyyyyyyyyyy
alina1380 [7]3 years ago
5 0

Step-by-step explanation:

3.9 percent

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The data set shown below represents the number of times some families went out for dinner the previous week. 4, 2, 2, 0, 1, 6, 3
Mkey [24]

Dot plots are used to represent data using dots

The true statements about the dataset are:

  • The range of the number line should be 0 to 7 to represent the frequency.
  • Four families said they ate out twice the previous week.
  • One family said they ate out 5 times the previous week

The dataset is given as:

4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1

Rearrange in ascending order

0, 0, 1, 1, 2, 2, 2, 2, 4, 4, 5, 6

Represent as a frequency table

Data     Frequency

0               2

1                2

2                4

3               0

4               2

5               1

6               1

See attachment for the dot plot

From the attachment, we can see that:

  • 4 has a frequency of 2
  • 5 has a frequency of 1

Also, the range on the dot plot can be 0 to 7, because it covers the given dataset

Hence, the true statements are: (a), (b) and (c)

Read more about dot plots at:

brainly.com/question/21862696

7 0
2 years ago
Read 2 more answers
Can someone finish the whole thing ??
Romashka-Z-Leto [24]
<h3>Answer:    y = (3/2)x + 0</h3>

This is the same as  y = (3/2)x

=============================================================

Work Shown:

Find the slope of the line through (x1,y1) = (-2,-3) and (x2,y2) = (2,3)

m = (y2 - y1)/(x2 - x1)

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

m = (3 + 3)/(2 + 2)

m = 6/4

m = 3/2

The slope is the fraction 3/2. This is going to be in front of the x, or to the left of the x.

----------

Plug m = 3/2 and (x1,y1) = (-2,-3) into the point slope formula. Solve for y.

y - y1 = m(x - x1)

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

y + 3 = (3/2)(x + 2)

y + 3 = (3/2)x + (3/2)(2)

y + 3 = (3/2)*x + 3

y + 3 - 3 = (3/2)*x + 3 - 3

y = (3/2)x + 0

The y intercept is zero. This matches up with the fact the graph crosses the y axis at y = 0.

3 0
3 years ago
The perimeter of a kite is 52 meters. If one side measures 19 meters find the measure of the opposite side.
Setler [38]

For any kite, we have two pairs of congruent adjacent sides. In general, the kite would have sides of x, x, y , y. In this case, x = 19 is known while y is unknown.

The four sides add up to 52, so

x+x+y+y = perimeter

19+19+y+y = 52

38+2y = 52

2y+38-38 = 52-38 .... subtract 38 from both sides

2y = 14

2y/2 = 14/2 ... divide both sides by 2

y = 7

Therefore the opposite side of the 19 meter side is 7 meters

<h3>Answer: B) 7 meters</h3>
3 0
2 years ago
Read 2 more answers
ASNWER CORRECTLY AND YOU WILL GET 40 POINTS ALONG WITH BRAINLIEST
murzikaleks [220]

Answer: Angle ABC = 60, angle CBD = 120 and angle GFH = 60

Step-by-step explanation: Line ABD is parallel to line EFG. Line line CFH is a straight line that cuts across both parallel lines. Therefore, angle FBD and angle HFG are corresponding angles. That means angle FBD equals 3x. Also 3x plus 6X equals 180. That is,

3x + 6x = 180 {Sum of angles on a straight line equals 180}

9x = 180

Divide both sides of the equation by 9

x = 20.

That means angle 6x measures 6(20) and that is 120 degrees.

Also angle 3x measures 3(20) and that is 60 degrees.

Angle ABC + Angle CBD = 180 {Sum of angles on a straight line equals 180}

Angle ABC + 120 = 180

Angle ABC = 180 - 120

Angle ABC = 60

Also angle CBD equals 6x, and x = 20. Therefore angle CBD = 6 x 20

Angle CBD = 120.

And then, angle GFH = 3x, and x equals 20. Hence angle GFH = 60.

Therefore angle ABC = 60, angle CBD = 120 and angle GFH = 60.

7 0
3 years ago
11 + 5 + 22 × 12 − 10
Masteriza [31]
Follow PEMDAS

22 x 12 = 264

11 + 5 = 16

264 + 16 = 280

280 - 10 = 270

270 is your answer

hope this helps
6 0
3 years ago
Read 2 more answers
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