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Ierofanga [76]
2 years ago
8

At what rate will £420 yield£70 in 4 years​

Mathematics
1 answer:
Bumek [7]2 years ago
6 0

Answer:

4.17%

Step-by-step explanation:

Rate = interest earned / (principal x time)

70 / (4 x 420) = = 0.0417 = 4.17%

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Find the slope of line that passes through (5,6) and (7,9)
Debora [2.8K]

Answer: \frac{3}{2}

Step-by-step explanation:

m=\frac{9-6}{7-5}

  =\frac{3}{2}

5 0
3 years ago
1. Judy took $30 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each ba
Pavel [41]

Answer:

Step-by-step explanation:

The relationship between the number of popcorn and drinks is linear relationshipThe responses are;(a) Please find attached the required graph created with MS Excel(b) From the graph, we have that as the number of bags of popcorn Judy buys increases, the number of drinks decreases linearlyReasons:The given parameter are;Amount Judy took with her to spend on popcorn and drinks = $30Price of each bag of popcorn = $5Price of each drink = Half the price of a bag of popcorn∴ The price of each drink = (a)  Let X represent the number of bags of popcorn Judy buys and let Y represent the number of drinks she buys, we have;5·X + 2.5·Y = 302.5·Y = 30 - 5·XWhich gives;Y = 12 - 2·XUsing the above equation, the graph of popcorn and drinks bought by Judy is plotted with MS Excel and attached here(b)  The data in the graph are presented as followsThe point corresponding to the y-intercept is the point that gives the maximum number of drinks Judy can buy if she does not buy popcorn is 12 drinks. The number of drinks she can buy reduces by 2 for each bag of popcorn she buys, such that she can buy 6 bags of popcorn and no drinks which is the x-intercept.

3 0
2 years ago
Read 2 more answers
25 percent of 500 is how much?
Nookie1986 [14]

Answer:

125

Step-by-step explanation:

7 0
3 years ago
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he Thomas Supply Company Inc. is a distributor of gas-powered generators. As with any business, the length of time customers tak
WINSTONCH [101]

Answer:

30.5 ; 49 ; 27 ; 50 ; 45

Step-by-step explanation:

Determine the first and third quartiles. Determine the second decile and the eighth decile. Determine the 67th percentile

Given the ordered data :

13 13 13 20 26 27 29 32 34 34 35 35 36 37 38 41 41 41 42 44 46 47 48 50 53 55 56 62 67 82

Sample size, n = 30

The first quartile ;Q1

Q1 = 1/4(n+1)th term

Q1 = 31/4 = 7.75th term

Q1 = (29+32)/2

Q1 = 30.5

Q3 ;

Q3 = 3/4(n+1)th term

Q3 = 3(31)/4 = 23.25 th term

Q3 = (48 + 50) /2 = 49

2nd decile :

0.2 * (nth term

0.2 * 30 = 6th term = 27

8th decile :

0.8 * 30 = 24 th term

= 50

67th percentile :

0.67 * (n+1)th term

0.67 * 31 = 20.77

= (44 + 46) / 2

= 45

3 0
3 years ago
Here are two closed containers and four balls just fit into each container. Each ball has a diameter of 60mm. Which container ha
Fittoniya [83]

Answer:

"A is smaller"

Step-by-step explanation:

The full question is attached.

<u>Surface area of cylinder:</u>

The formula is  SA=2\pi r^2 + 2\pi r h

where r is the radius and h is the height

Here, radius would be 30 since balls have diameter 60 and radius is half of that.

Also height is the diameter of 4 balls line-by-line, so height is 60*4 = 240

Now, plugging into the formula, we get:

SA=2\pi r^2 + 2\pi r h\\SA=2\pi (30)^2 + 2\pi (30) (240)\\SA=50,868

<u>Surface Area of rectangular prism:</u>

The surface area of rectangular prism is the area of all the rectangular surfaces (6 of them).

Area of top and bottom = (60+60)*(60+60) * 2 = 120*120 * 2 = 28,800

Area of 2 sides = 2 * (60*120) = 14,400

Area of front and back = 2 * (60*120) = 14,400

Total Surface Area = 28,800 + 14,400 + 14,400 = 57,600

Thus, cylinder has smaller surface area.

"A is smaller"

7 0
3 years ago
Read 2 more answers
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