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Kitty [74]
3 years ago
12

In a survey of music preference, 82 out of 450 student said that they preferred country music . What percent of the students pre

ferred country music ?
Mathematics
1 answer:
Ivanshal [37]3 years ago
5 0

\frac{82}{450}\cdot100\%=\frac{164}{9}\%=18\frac{2}{9}\%

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41) Gabriella invests $8,193 in a retirement
nataly862011 [7]

Answer:

Option C. \$34,252.67  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=18\ years\\ P=\$8,193\\ r=0.08\\n=6  

substitute in the formula above  

A=\$8,193(1+\frac{0.08}{6})^{6*18}=\$34,252.67  

4 0
3 years ago
Which explains whether or not the values in the table represent a direct variation?
Assoli18 [71]

Answer:

This function represents a direct variation because it passes through the origin and has a constant rate

4 0
3 years ago
Escribe 1entre4 como un decimal
Zinaida [17]
1/4= 0.25 como un decimal
4 0
3 years ago
PLEASE HELP! Explain your answer, THANK YOU!
Misha Larkins [42]

Answer:

-2/-3

Step-by-step explanation:

(75, 60) (45, 40)

75       60               since 75 is larger than 45, we subtract = -30

45       40               since 60 is larger than 40, we subtract = -20

= -20/-30

reduce

= -2/-3

3 0
3 years ago
Which of the following applies the law of cosines correctly and could be solved to find m∠E? ANSWERS: A) cos E = 312 + 392 – 2(3
defon

This question is incomplete because the options were not properly written.

Complete Question

Which of the following applies the law of cosines correctly and could be solved to find m∠E? ANSWERS:

A) cos E = 31²+ 39² – 2(31)(39)

C) 56² = 39² – 2(39) ⋅ cos E

D) 56² = 31² + 39² – 2(31)(39) ⋅ cos E

Answer:

D) 56² = 31² + 39² – 2(31)(39) ⋅ cos E

Step-by-step explanation:

From the above diagram, we see are told to apply the law of cosines to solve for m∠E i.e Angle E

The formula for the Law of Cosines is given as:

c² = a² + b² − 2ab cos(C)

Because we have sides d , e and f and we are the look for m∠E the law of cosines would be:

e² = d² + f² - 2df cos (E)

e = 56

d = 39

f = 31

56² = 39² + 31² - (2 × 39 × 31) × cos E

Therefore, from the above calculation and step by step calculation, the option that applies the law of cosines correctly and could be solved to find m∠E

Is option D: 56² = 31² + 39² – 2(31)(39) ⋅ cos E

8 0
3 years ago
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