MATHEMATICS HIGH SCHOOL

Over two summers, Ray saved $900 and $500. The polynomial 900x2 + 500x represents his savings at the beginning of the third year, where x is the growth factor. (The interest rate r is x - 1.) What is the interest rate he needs to start the third year with $1600 in savings? A. 0.1% B. 1.1% C. 8.4% D. 264%

Answers

Answer 1
Answer: c. is the correct answer

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What angle do the minute and hour hands of a clock make at 10:00

Answers

The hour hand is at 10 and the minute at the 12. If a clock is seen divided into 12 parts and there's 360° in a circle so 360/12=30° between two numbers.
Between 10 and 11 is 30°, between 11 and 12 is 30° so between 10 and 12 is 60°

The width, w, of a rectangle garden is x - 2. The area of the garden is x^3 - 2x - 4. What is an expression for the length of the garden?a. x^2 -2x - 2
b. x^2 + 2x - 2
c. x^2 - 2x + 2
d. x^2 + 2x + 2

Answers

the answer for this question is very tricky but is to work out its B.

Joshua uses a rule to write the following sequence of numbers 1/6,1/2,5/6,----------,11/2 What rule did Joshua use? What is the missing number in the sequence?

Answers

the numerator is added by 5 every other, and the denominator switches between 6 and 2

2. Which is larger?The common ratio, r , in a geometric sequence whose second term is
24 and whose fifth term is 1536
or
The common difference, d , in an arithmetic sequence whose fourth
term is 16 and whose seventh term is 31.

Answers

Answer:

The common difference d is larger than the common ratio r

Step-by-step explanation:

  • The common difference in the arithmetic sequence  d=u_(n)-u_(n-1)
  • The nth term in the arithmetic sequence is a_(n)=a+(n-1)d , where a is the first term
  • The common ratio in the geometric sequence r=(u_(n))/(u_(n-1))
  • The nth term in the geometric sequence is a_(n)=a(r)^(n-1) , where a is the first term

Geometric sequence

∵ The second term is 24

∴ u_(2) = 24

∵ u_(2)=a(r)^(2-1)=ar

- Equate it by its value

∴ ar = 24 ⇒ (1)

∵ The fifth term is 1536

∴  u_(5) = 1536

∵ u_(5)=a(r)^(5-1)=ar^(4)

- Equate it by its value

∴ ar^(4) = 1536 ⇒ (2)

Divide (2) by (1)

∴ (ar^(4))/(ar)=(1536)/(24)

- Divide up and down by ar

∴ r³ = 64

- Take ∛  for both sides

∴ r = 4

Arithmetic sequence

∵ The fourth term is 16

∴ u_(4) = 16

∵ u_(4) = a + (4 - 1)d

∴ u_(4) = a + 3 d

- Equate it by its value

∴ a + 3d = 16 ⇒ (1)

∵ The seventh term is 31

∴ u_(7) = 31

∵ u_(7) = a + (7 - 1)d

∴ u_(7) = a + 6 d

- Equate it by its value

∴ a + 6 d = 31 ⇒ (2)

Subtract equation (1) from equation (2) to eliminate a and find d

∵ (a - a) + (6 d - 3 d) = (31 - 16)

∴ 3 d = 15

- Divide both sides by 3

∴ d = 5

∵ r = 4 and d = 5

∴ d > r

∴ The common difference d is larger than the common ratio r

Choose the correct symbol to complete the statement.4.105 _____ 4.15

<
>
=

Answers

The correct inequality symbol would be <, 4.105<4.15. This is because 4.15 is larger than 4.105. When the right side number is greater than the left side, the inequality symbol would be <. But if its the other way, that the laft side is greater than the right side, the symbol would be >.

Answer:

<

Step-by-step explanation:

4.15 is a larger number than 4.105. So it would look like 4.105<4.15

Select the graph of the solution. Click until the correct graph appears. pls helpx < 4

Answers

Answer:

The correct one is the one on the left.

(the arrow pointing to the left)
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