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never [62]
3 years ago
13

convert the mixed numbers to improper fractions. this will get you one step closer to finding the unit rate

Mathematics
1 answer:
Kaylis [27]3 years ago
8 0
It means for example instead of writing 2 2/5 You would write 12/5
You can find out an improper fraction by simply multiplying the denominator by the front number and adding the answer to you numerator
So, 2x5= 10. 10+2= 12. So 12/5
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Awnser correctly please
Alekssandra [29.7K]

Answer: the interest is $8137.8

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $62,604.18

r = 13% = 13/100 = 0.13

n = 1 because it was compounded once in a year.

t = 1 year

Therefore,.

A = 62604.18(1 + 0.13/1)^1 × 1

A = 62604.18(1.13)

A = $70742.7

Her interest would be

70742.7 - 62604.18

= $8137.8

4 0
3 years ago
Kendra has $ 4.85 in nickels and quarters. If she has 5 more quarters than nickels, how many of each coin does she have?
yarga [219]

If she were to add 5 nickels ($0.25), then she would have an equal number of nickels and quarters, and her total would be $5.10. An equal number of nickels and quarters gives a multiple of $0.30. $5.10 is 17 times $0.30. The number of quarters Kendra has must be 17, but she has 5 fewer nickels, so

Kendra has 17 quarters and 12 nickels.

8 0
4 years ago
Musical megabytes How much disk space
alexdok [17]

Given:

Consider the file sizes (in  megabytes) for 18 randomly selected files on  Gabriel's mp3 player are shown in the below figure.

To find:

The outliers in the  distribution.

Solution:

We have, the given data set

2.4, 2.7, 1.6 , 1.3 , 6.2, 1.3, 5.6, 1.1, 2.2, 1.9, 2.1, 4.4, 4.7, 3.0, 1.9, 2.5, 7.5, 5.0

Arrange the data in ascending order.

1.1, 1.3, 1.3, 1.6, 1.9, 1.9, 2.1, 2.2, 2.4, 2.5, 2.7, 3.0, 4.4, 4.7, 5.0, 5.6, 6.2, 7.5,

Divide the data in 4 equal parts.

(1.1, 1.3, 1.3, 1.6), 1.9, (1.9, 2.1, 2.2, 2.4),( 2.5, 2.7, 3.0, 4.4), 4.7, (5.0,5.6, 6.2, 7.5)

It is clear that,

Q_1=1.9

Q_3=4.7

IQR=Q_3-Q_1

IQR=4.7-1.9

IQR=2.8

Now,

Interval=[Q_1-1.5IQR,Q_3+1.5IQR]

Interval=[1.9-1.5(2.8),4.7+1.5(2.8)]

Interval=[-2.3,8.9]

All the data values lies in the interval [-2.3,8.9]. Therefore, the given data set have no outliers.

7 0
3 years ago
Graphing help please - fairly simple, image attached.
alisha [4.7K]
To figure out if a graph is a function, you can use this thing called the vertical line test. in case you're unfamiliar, it's basically where you just imagine a vertical line going from left to right on the graph. if it crosses the function in two places, it's incorrect. i suggest looking up a video that shows you a visual representation of the vertical line test if you've never heard of it; it's fairly simple.

A is a function because the graph passes the vertical line test. if you imagine a vertical line and drag it from left to right across the graph, the linear function graphed in choice A does not have two x values at the same spot.

B is not a function. it fails the vertical line test almost immediately: the sideways "U" shapes makes it intersect the vertical line twice in one place.

C is a function. it passes the vertical line test, even though it looks a little strange. at no point does it intersect the vertical line twice.

D is a function. again, it doesn't intersect the vertical line twice.

now, to determine if a function is a one-to-one function, it must also pass the horizontal line test. this means that it doesn't intersect at two points horizontally as well. test that out on choices A, C, and D.

A is a one-to-one function because it doesn't cross in the same place horizontally, either. C and D are one-to-one functions as well.
5 0
3 years ago
The Smith's want to fence their square garden, which has an area of 256 square meters. The fence is built of wooden square parts
dem82 [27]

Answer: 16 meters

Step-by-step explanation:

5 0
3 years ago
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