MATHEMATICS HIGH SCHOOL

How many times will interest be added to the principal in 1 year if the interest is compounded semiannually? A. 1 B. 2 C. 12 D. 6

Answers

Answer 1

Answer: Semiannual means every six months in a year so the answer is 2

Answer 2

Answer:

Explanation:

Semiannual means twice a year.

(Ap3x)

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For every 60 students, three teachers are needed. Predict how many students 15 teachers can teach

Answers

Answer:

I think it's 45 students

Step-by-step explanation:

A class of 25 students took a math test. Ten students had an average of 88. The other students had an average of 76. What is the average of the whole class?A) 78.2
B) 80.8
C) 81.7
D) 82.5

Answers

Answer:

The average of the whole class is 80.8.

The correct answer is B)

Step-by-step explanation:

To solve this problem, it is very important to understand the phrase: "Ten students had an average of 88". Let's see an example.

Imagine that three students in the class took a test and their scores were: 80, 89 and 95. To calculate the average of they three we must divide the sum of the scores by the total number of scores.

$average=(80+89+95)/(3)=(264)/(3)=88$

The previous value is the average of the three students. Now, if we say that each student got 88, the average would be 88.

$average=(88+88+88)/(3)=(264)/(3)=88$

The previous expression could be simplified as:

$average=(88* 3)/(3)$

Where, the number 3 means the number of students.

With that in mind, the phrase "Ten students had an average of 88" could be written as:

$average_(10\, \, students)=(88+88+88+88+88+88+88+88+88+88)/(10)$

$average_(10\, \, students)=(88* 10)/(10)=88$

On the other hand, the phrase "The other students had an average of 76" means that from the 25 students, 15 students got 76 (25 - 10 = 15), and could be written as:

$average_(15\, \, students)=(76+76+76+76+76+76+76+76+76+76+76+76+76+76+76)/(15)$

$average_(15\, \, students)=(76* 15)/(15)=76$

Finally, to calculate the total average of the 25 students we must divide the sum of the scores of all students by the total number of scores. The sum would be: 88+88+88+88+88+88+88+88+88+88+76+76+76+76+76+76+76+76+76+76+76+76+76+76+76, which equals $88* 10+76* 15$ . The total number of scores would be: 25.

$average_(total)=(88* 10 + 76* 15)/(25)$

$average_(total)=(880 + 1140)/(25)$

$average_(total)=(2020)/(25)$

$average_(total)=80.8$

Thus, the average of the whole class is 80.8. The correct answer is B)

The answer is B. 80.8

Find the sum of the given polynomials. 5m + 2n, n - 3m, and 7 - 3n

Answers

5m+2n+n-3m+7-3n =2m +7

Answer:

2n + 7

Step-by-step explanation:

6. John took Ms. Wisth out for sushi and is NOT a cheapskate. Their total sushi bill was $75.68. Johnwanted to leave a 27% tip. How much money did John tip the waiter?

Answers

I think the answer would be $9.46 left as a tip for the waiter.

Answer:

$20.43 is how much tip was

Step-by-step explanation:

27% >>> .27

.27 * 75.68 = 20.43 tip

Bonus: $96.11 is the all out total

Claire and Richard are both artists who paint canvas. Claire uses the polynomial 50x^2+250 to decide how much to charge for her paintings. Richard uses the polynomial 40x^2+350 to decide how much to charge for his paintings.In each polynomial x is the height of the painting in feet. To the nearest tenth for what height will both Claire and Richard charge the same amount for a painting?

Answers

Answer:

3.2 ft

Step-by-step explanation:

50x²+250=40 x²+350

50x²-40x²=350-250

10x²=100

x²=100/10=10

x=√10≈3.1623≈3.2 ft

The correct vocabulary term for a two term polynomial

Answers

binomial
bi=2
nomial=name
2 names

2 terms

binomial

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