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emmainna [20.7K]
3 years ago
9

A used car dealership categorizes its salespeople by the number of cars sold per year, with the categories being 0-8, 9-16, 17-2

4, and 25 or more. if the following data represents the numbers of cars sold by its salespeople last year, how many salespeople were in the 9-16 category?
Mathematics
1 answer:
3241004551 [841]3 years ago
7 0
The missing data was <span>2, 31, 29, 5, 14, 7, 10, 25, 3, 22.

  0  -  8 </span>⇒ 2, 5, 7, 3  ⇒ 4
  9  -16 ⇒ 14, 10      ⇒ 2
17  -24 ⇒ 22            ⇒ 1
25 and more ⇒ 31, 29, 25 ⇒ 3 

There were 2 sales people who were in the 9-16 category.

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Answer: He should invest $44000 in fund A and $11000 in fund B.

Step-by-step explanation:

Let x represent the amount which he invested in fund A.

Let y represent the amount which he invested in fund B.

Vern sold his 1964 Ford Mustang for $55,000 and wants to invest the money to earn him 3.6% interest per year. He will put some of the money into Fund A that earns 2% per year and the rest in Fund B that earns 10% per year.. This means that

x + y = 55000

The formula for determining simple interest is expressed as

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Considering fund A,

P = $x

T = 1 year

R = 2℅

I = (x × 2 × 1)/100 = 0.02x

Considering fund B,

P = $y

T = 1 year

R = 10℅

I = (y × 10 × 1)/100 = 0.1y

The interest that he wants to earn on the total amount in a year is 3.6%. The interest would be

I = (55000 × 3.6 × 1)/100 = 1980

Therefore,

0.02x + 0.1y = 1980 - - - - - - - - - -1

Substituting x = 55000 - y into equation 1, it becomes

0.02(55000 - y) + 0.1y = 1980

1100 - 0.02y + 0.1y = 1980

- 0.02y + 0.1y = 1980 - 1100

0.08y = 880

y = 880/0.08

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x = 55000 - y = 55000 - 11000

x = 44000

4 0
3 years ago
A student finished 72 of her homework problems in class. If the ratio of problems she finished to problems she still had left wa
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Finished:Left

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The first one (AAA) , your case, says that two triangles are similar if their corresponding angles are equal.

The second one (SAS) says that two triangles are similar if two sides have lengths in the same ratio and the angles that are included in these two sides are equal.

The third one (SSS) says that two triangles are similar of all of their sides have lengths in the same ratio.

About the first criteria, you actually need only two corresponding angles to be the same, because the third will always be the difference between 180° and the two angles.

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