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ale4655 [162]
2 years ago
7

In a meeting, there are five presenters: Lily, Catherine, Ted, Edward, and Bianca. Bianca must present after Edward but not imme

diately so. There must be one presenter between Bianca and Catherine Catherine must present immediately after Ted. At least two other people must present after Edward and before Ted. When must Lily present?
Mathematics
1 answer:
Marta_Voda [28]2 years ago
8 0

Answer:

Lily would present after Edward

Step-by-step explanation:

Catherine must present after Ted. Therefore we have Ted, Catherine.

There must be one presenter between Bianca and Catherine, therefore we have: Bianca, x, Catherine. x is the name of the presenter between  Bianca and Catherine. Since Ted presents immediately before Catherine, x = Ted. This means we have Bianca, Ted, Catherine.

There must be at least two other people must present after Edward and before Ted. This means we have Edward, y, Bianca, Ted, Catherine. y is the name of the presenter between Edward and Bianca.. Since we have only five presenters, the only presenter remaining is Lily.

Therefore the presenters are arranged as:

Edward, Lily, Bianca, Ted, Catherine.

Lily is the second to present. Lily would present immediately after Edward and before Bianca

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olga_2 [115]

Answer:

a) About 12%

Step-by-step explanation:

We need to find the interest rate required to achieve her goal, so we will need to use the interest-compound formula:

FV=PV(1+i)^{n}

Where:

PV= Present Value

i= interest rate

FV= Future Value

n= number of periods

replacing the data provided:

150.000=50.000(1+i)^{10}

solving for i:

first, divide both sides by 50.000 to simplify the equation:

3=(1+i)^{10}

Take 10^{th} roots of both sides:

1+i=±\sqrt[10]{3}

solve for i:

i=±\sqrt[10]{3} -1

We get two answers, but we look for a coherent value. So we take the positive one:

i=11.6123174≈12

6 0
2 years ago
What is the value of k such that x-5 is a factor of x3 – x2 + kx - 30?
Paraphin [41]

Answer:

k = - 14

Step-by-step explanation:

given that (x - 5) is a factor of the polynomial then x = 5 is a root and

x³ - x² + kx - 30 = 0 for x = 5, that is

5³ - 5² + 5k - 30 = 0

125 - 25 + 5k - 30 = 0

70 + 5k = 0 ( subtract 70 from both sides )

5k = - 70 ( divide both sides by 5 )

k = - 14


5 0
2 years ago
What is the quotient of -8a^8b^-2/ 10a^-4b^-10 in simplified form?
postnew [5]

Here are a few rules with exponents that you need to know:

  1. Dividing exponents of the same base: \frac{x^m}{x^n}=x^{m-n}

For this, divide:

\frac{-8a^8b^{-2}}{10a^{-4}b^{-10}}=\frac{-8}{10}a^{8-(-4)}b^{-2-(-10)}=-\frac{4}{5}a^{12}b^8

<u>Your final answer is -\frac{4}{5}a^{12}b^8</u>

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C

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An executive for a large national restaurant chain with multiple locations in each of 513 counties wants to personally sample th
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Answer:

D. Obtain a cluster sample by randomly selecting 20 counties and visiting every restaurant within those counties.

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Since this executive wants to minimize cost and expenses he should use a cluster sample of 20 counties and using the selected counties as a representative of the whole. Cluster sampling is a good and useful way of doing market research. It is more economical than other sampling methods and as the executive cannot get information on the whole population, he would be able to get information from the clusters.

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