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joja [24]
3 years ago
11

An amount of $15,000 is invested in a fund that has a return of

Mathematics
1 answer:
IrinaVladis [17]3 years ago
6 0

Answer:

$12000 should be invested in a fund with a 4% return.

Step-by-step explanation:

Consider the provided information.

An amount of $15,000 is invested in a fund that has a return of  6%.

We need to calculate how much money is invested in a fund with a 4% return if the  total return on both investments is $1380.

Let $x should be invested in a fund with a 4% return.

The above information can be written as:

1380=15000\times 6\%+x\times 4\%

1380=15000\times \frac{6}{100}+x\times \frac{4}{100}

1380=150\times6+x\times 0.04

1380-900=0.04x\\480=0.04x\\x=12000

Hence, $12000 should be invested in a fund with a 4% return.

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The CEO of a local tech company wants to estimate the proportion of employees that are pleased with the cleanliness of the break
Zigmanuir [339]

Answer:

Methods of obtaining a sample of 600 employees from the 4,700 workforce:

Part A:  The type of sampling method proposed by the CEO is Convenience Sampling.

Part B: When there are equal number of participants in both campuses, stratification by campus would give a more precise approximation of the proportion of employees who are satisfied with the cleanliness of the breakrooms than stratification by gender.  Another method to ensure that stratification by campus gives a more precise approximation of the proportion of employees who are satisfied with the cleanliness of the breakrooms than stratification by gender is to ensure that the sample is proportional to the proportion of each campus to the whole population or workforce.

Step-by-step explanation:

A Convenience Sampling technique is a non-probability (non-random) sampling method and the participants are selected based on availability (early attendees).  The early attendees might be different from the late attendees in characteristics such as age, sex, etc.  Therefore, sampling biases are present.  All non-probability sampling methods are prone to volunteer bias.

Stratified sampling  is more accurate and representative of the population.  It reduces sampling bias.  The difficulty arises in choosing the characteristic to stratify by.

3 0
3 years ago
Pls help me with these math problems
user100 [1]
2. W<5
4. D<6 (or equal to)

3 0
3 years ago
Read 2 more answers
Giselle made 24 1/8 ounces of lemonade. She sampled 1 1/2 ounces to make sure it is not too sour. How much lemonade is left? Exp
vivado [14]

step.1 turn both of the numbers into fraction

24x8=192, because 8 out of 8 is 1. Plus one equals to 193/8

1x2=2 plus 1 equals to 3. 3/2

step.2 turn the bottom numver the same

because 2x4 is 8 from the bottom

3x4 is 12 so the lemonade she sampled is 12/8

step.3 substract

193/8-12/8you keep the bottom the same substract the top.

193-12

the answer is : 181/8

8 0
3 years ago
What is the value of the sum of all the terms of the geometric series 300, 60, 12, …?
ruslelena [56]
<h3>Answer:   375</h3>

=========================================

Work Shown:

a = 300 = first term

r = 60/300 = 0.2 = common ratio

We multiply each term by 0.2, aka 1/5, to get the next term.

Since -1 < r < 1 is true, we can use the infinite geometric sum formula below

S = a/(1-r)

S = 300/(1-0.2)

S = 300/0.8

S = 375

----------

As a sort of "check", we can add up partial sums like so

  • 300+60 = 360
  • 300+60+12 = 360+12 = 372
  • 300+60+12+2.4 = 372+2.4 = 374.4
  • 300+60+12+2.4+0.48 = 374.4+0.48 = 374.88

and so on. The idea is that each time we add on a new term, we should be getting closer and closer to 375. I put "check" in quotation marks because it's probably not the rigorous of checks possible. But it may give a good idea of what's going on.

----------

Side note: If the common ratio r was either r < -1 or r > 1, then the terms we add on would get larger and larger. This would mean we don't approach a single finite value with the infinite sum.

3 0
3 years ago
Multiply: –3.2 × (–13) × 6.
PIT_PIT [208]

Answer:

249.6

Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
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