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AnnZ [28]
3 years ago
6

If the simple interest on ​$6,000 for 2 years is ​$840​, then what is the interest​ rate?

Mathematics
1 answer:
ankoles [38]3 years ago
5 0

Answer:

7 %

Step-by-step explanation:

  • i do not know if you use this but I use S.I=P×R/100×T
  • S.I=840
  • P for principal(the money you borrow or lend) =6000
  • T for time=2 years.
  • R for rate=???
  • In order to find out the rate, you need to substitute all these numbers into their respective places.
  • 840=6000×r/100×2
  • 6000/100=60
  • 840=60×r×2
  • 840=120r
  • r=7%
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When the members of a family discussed where their annual reunion should take​ place, they found that out of all the family​ mem
Doss [256]

Answer:

The total number of family members is 21.

Step-by-step explanation:

To solve this problem, we must build the Venn's Diagram of these sets.

I am going to say that:

-The set A represents those that would not go to a park.

-The set B represents those who would not go to a beach.

-The set C represents those who would not go to the family cottage.

The value d represents those who would go to all three places.

We have that:

A = a + (A \cap B) + (A \cap C) + (A \cap B \cap C)

In which a are those that would only not go to a park, A \cap B are those who would not got to a park or to the beach, A \cap C are those who would not go to a park or to the famili cottage. And A \cap B \cap C are those that would not go to any of these places.

By the same logic, we have:

B = b + (B \cap C) + (A \cap B) + (A \cap B \cap C)

C = c + (A \cap C) + (B \cap C) + (A \cap B \cap C)

This diagram has the following values:

a,b,c,d,(A \cap B), (A \cap C), (B \cap C), (A \cap B \cap C)

The total number of family members is the sum of all these values:

T = a + b + c + d + (A \cap B) + (A \cap C) + (B \cap C) + (A \cap B \cap C)

We start finding the values from the intersection of the three sets

5 would not go to a park or a beach or to the family​ cottage.

This means that A \cap B \cap C = 5

1 would go to all three places. This means that d = 1.

8 would go to neither a park nor the family​ cottage

This means that:

A \cap C + (A \cap B \cap C) = 8

A \cap C = 3

8 would go to neither a beach nor the family​ cottage

B \cap C + (A \cap B \cap C) = 8

B \cap C = 3

7 would go to neither a park nor a​ beach

A \cap B + (A \cap B \cap C) = 7

A \cap B = 2

15 would not go to the family​ cottage

C = 15

C = c + (A \cap C) + (B \cap C) + (A \cap B \cap C)

15 = c + 3 + 3 + 5

c = 4

12 would not go to a​ beach

B = 12

B = b + (B \cap C) + (A \cap B) + (A \cap B \cap C)

12 = b + 3 + 2 + 5

b = 2

11 would not go to a​ park

A = 11

A = a + (A \cap B) + (A \cap C) + (A \cap B \cap C)

11 = a + 2 + 3 + 5

a = 1

Now, we can find the total number of family members.

T = a + b + c + d + (A \cap B) + (A \cap C) + (B \cap C) + (A \cap B \cap C)

T = 1 + 2 + 4 + 1 + 2 + 3 + 3 + 5

T = 21

The total number of family members is 21.

5 0
3 years ago
What is the distance between the points (5, 1) and (-3,-5)?
Reil [10]

Answer: THIRD OPTION.

Step-by-step explanation:

For this exercise you need to use the formula for calculate the distance between two points. This is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Given the following points:

(5, 1) and (-3,-5)

You can identify that:

x_2=-3\\x_1=5\\\\y_2=-5\\y_1=1

Knowing these values, the next step is to substitute them into the equation for calculate the distance between two points and then evaluate.

Therefore, the distance between (5, 1) and (-3,-5) is:

d=\sqrt{(-3-5)^2+(-5-1)^2}\\\\d=10

8 0
3 years ago
How can you write 5+5+5 using a different math operation
Len [333]

Answer:

five plus five plus five

Step-by-step explanation:

This is in wording

3 0
3 years ago
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butalik [34]

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5 0
3 years ago
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gtnhenbr [62]

Answer:

A

Step-by-step explanation:

Total amount of faces of object = 6

Surface area = length x height

2(4*10) + 2(10*17) + 2(4*17)

=2(40) + 2(170) + 2(68)

= 80 + 340 + 136

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7 0
3 years ago
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