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oksian1 [2.3K]
3 years ago
12

QUESTION 2 of 10: You have a budget of $3,000 to spend on a survey. If the base cost of the survey is $850 plus $4.50 per person

surveyed,
what is the sample size you can afford?
a) 477
b) 500
Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
7 0

Answer:

Option A.

Step-by-step explanation:

Base cost of the survey is defined by the expression

Base cost C = 850 + 4.5x

where x = number of persons surveyed

If the budget to spend on a survey is = $3000

Then Number of person we can survey can be determined by

3000 = 850 + 4.5x

4.5x = 3000 - 850

4.5x = 2150

x = \frac{2150}{4.5}

x = 477.78

But the number of persons surveyed can not be in fraction.

Therefore, sample size we can afford is 477.

Option A. is the answer.

sleet_krkn [62]3 years ago
3 0

Answer:

A)477

Step-by-step explanation:

Subtract 850 from 3,000

2150

Divide 2150 by 4.50 to find out how many people can be surveyed.

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Answer:

The choice Draw 2

Step-by-step explanation:

3(8 - 4x) < 6(x - 5) \\ 24 - 12x < 6x - 30 \\  24- 12x + 12x < 6x + 12x - 30 \\ 24 < 18x - 30 \\ 24 + 30 < 18x - 30 + 30 \\ 54 < 18x \\ 54 \div 18 < 18x \div 18 \\ 3 < x \\ x > 3

I hope I helped you^_^

6 0
3 years ago
Mikel has a poster that she wants to copy onto a mural at school. The dimensions of the poster are shown below.
nata0808 [166]
<h2><u>Answer:</u></h2>

The area of the poster would be <u>20ft².</u>

<h2><u>Step-by-step explanation:</u></h2>
  • First, double both the length and the width.

        LENGTH : 2 x 2 = 4

        WIDTH : 2.5 x 2 = 5

  • Use these new dimensions to work out the area

        4 x 5 = <u>20ft²</u>

5 0
3 years ago
Gael uses 5 centimeters of string to hang each decoration of gale hangs 2 decorations , how much string does he use
jasenka [17]

Answer:

10 centimeter

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
I need help! Will this would be very appreciated!pls
elena-s [515]

Answer:

No real

solution

Step-by-step explanation:

Firstly, let us check if we would be having a real solution

We start by rewriting the equation

We have this as;

8x^2 -25x + 24 = 0

We proceed to get the discriminant

Mathematically, we have this as;

D = b^2 - 4ac

b is the coefficient of x which is -25

a is the coefficient of x^2 which is 8

c is the last number which is 24

So we have;

D = (-25)^2 - 4(8)(24)

D = 625 - 768 = -143

Since the value of the discriminant is negative, there cannot be real roots

What we have as solution are complex roots

6 0
3 years ago
You are opening a savings account with $500 that you have saved. The bank offers 3.2% interest, compounded yearly. How much mone
Nuetrik [128]

Answer:

You will have $623.3441462 in your account after 7 years

Step-by-step explanation:

The formula of the compounded interest is A = P (1+\frac{r}{n})^{nt} , where

  • A is the new value
  • P is the initial value
  • r is the rate in decimal
  • n is the number of periods
  • t is the time in years

∵ You are opening a savings account with $500  

∴ P = 500

∵ The bank offers 3.2% interest, compounded yearly

∴ r = 3.2% ⇒ divide it by 100 to change it to decimal

∴ r = 3.2 ÷ 100 = 0.032

∵ The interest is compounded yearly

∴ n = 1

∵ The time is 7 years

∴ t = 7

→ Substitute these values in the rule above to find A

∵ A = 500 (1+\frac{0.032}{1})^{1(7)}

∴ A = 500 (1.032)^{7}

∴ A = 623.3441462

∴ You will have $623.3441462 in your account after 7 years

8 0
3 years ago
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