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Helen [10]
3 years ago
14

In a small company with 20 employees, 10 employees make $80,000/yr, 6 employees make $ 150,000/yr the 4 highest-paid employees a

ll make $220,000/yr. Calculate the average salary in the company
Mathematics
1 answer:
Elis [28]3 years ago
8 0

Answer:

$129 000/yr

Step-by-step explanation:

Weighted average is used to answer this question.

<em>total employees are 20</em>

10 employees make 80 000

<em>total earning for 10 employees </em>= 80 000 * 10 = 800 000 (multiplying)

6 employees make 150 000

<em>total earning for 6 employees= </em>150 000 * 6 =900 000<em> (multiplying)</em>

4 employees make 220 000

<em>total earning for 4 employees </em>= 220 000 * 4 = 880 00<em>0 (multiplying)</em>

<em />

<em>To calculate weighted average all the totals are added and then divide by total number of employees.</em>

<em>weighted average =</em> (800 000 + 900 000 + 880 000)/20

<em />

<em>weighted average = </em>2580000/20

<em />

<em>Weighted average = </em>129 000

<em />

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Eli invested $ 330 $330 in an account in the year 1999, and the value has been growing exponentially at a constant rate. The val
Cloud [144]

Answer:

The value of the account in the year 2009 will be $682.

Step-by-step explanation:

The acount's balance, in t years after 1999, can be modeled by the following equation.

A(t) = Pe^{rt}

In which A(t) is the amount after t years, P is the initial money deposited, and r is the rate of interest.

$330 in an account in the year 1999

This means that P = 330

$590 in the year 2007

2007 is 8 years after 1999, so P(8) = 590.

We use this to find r.

A(t) = Pe^{rt}

590 = 330e^{8r}

e^{8r} = \frac{590}{330}

e^{8r} = 1.79

Applying ln to both sides:

\ln{e^{8r}} = \ln{1.79}

8r = \ln{1.79}

r = \frac{\ln{1.79}}{8}

r = 0.0726

Determine the value of the account, to the nearest dollar, in the year 2009.

2009 is 10 years after 1999, so this is A(10).

A(t) = 330e^{0.0726t}

A(10) = 330e^{0.0726*10} = 682

The value of the account in the year 2009 will be $682.

4 0
3 years ago
Please help me.Find the value of x in the isosceles triangle shown below​
blagie [28]

There is an isosceles triangle.

The triangle is like two right triangles put together.

To find out the height of the triangle, we remove the other right triangle and we use the other triangle to find the height using the Pythagorean theorem.

Phytagoras Theorem :

b² = c² - a²

x² = 8² - (6÷2)²

x² = 64 - 3²

x² = 64 - 9

x² = 55

x = √55

So, the value of x is √55 (B)

<em>Hope </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>

4 0
3 years ago
Types of bonds are divided into three categories: good risk, medium risk, and poor risk. Assume that of a total of 11, 332 bonds
Alekssandra [29.7K]

Answer:

Probabilty of not poor= 0.75

Step-by-step explanation:

total of 11332 bonds.

7311 are good risk.

1182 are medium risk.

Poor risk

= total risk-(good risk+ medium risk)

= 11332-(7311+1182)

= 11332-8493

= 2839.

Poor risk = 2839

Probabilty that the ball choosen at random is not poor= 1 - probability that the ball is poor

Probability of poor = 2839/11332

Probabilty of poor= 0.2505

Probabilty that the ball choosen at random is not poor= 1- 0.2505

= 0.7495

To two decimal place= 0.75

3 0
3 years ago
Solve –16t² +144= 0 to find the number of seconds, t, it takes for an object dropped from 144 ft above the ground to hit the gro
Vlad1618 [11]

Answer:

h(t) = -16t2 + 144

h(1) = -16(12) + 144 = 128 ft

h(2) = -16(22) + 144 = 80 ft

h(2) - h(1) = 80 - 128 = -48 ft

It fell 48 ft between t = 1 and t = 2 seconds.

It reaches the ground when h(t) = 0

0 = -16t2 + 144

t = √(144/16) s = 3s

It reaches the ground 3s after being dropped.

Step-by-step explanation:

6 0
2 years ago
Please it's urgent I really need answers ​
WITCHER [35]

(c)

We notice that they already have common denominators, therefore we can just add the numerators up.

(x+y+x-y)/2xy=

2x/2xy

Dividing both top and bottom by 2x, we get

<h2><u><em>1/y</em></u></h2>

-Hunter

5 0
2 years ago
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