MATHEMATICS HIGH SCHOOL

An initial investment of $150,000 grows at 22% per year. What function represents the value of the investment after t years?

Answers

Answer 1

Answer:

150000(1.22)^t

Step-by-step explanation:

A-150000

R- 0.22 plus the 1 since it’s positive y=A(1+r)

Sooo 150000(1+0.22)^t

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Can anyone help know if this is right if not what is the right answer?

Answers

We will use the Sine Ratio to solve for ∠A:

Sin(A) = Opposite / Hypotenuse
Sin(A) = 12 / 15
Sin(A) = 0.8 (Take the Inverted Sin of this number)
∠A = 53.13°

Therefore, ∠A = 53.13°

Write the expression (y 7)^2 -100 as the product of two linear binomials

Answers

To answer this problem, you have to have a good foundation in factoring polynomial expressions. It has to be taken into account the knowledge in division and fractions.

The expression
(y+7)^2 - 100

can be factored as
[ (y+7) + 10 ] [ (y+7) - 10 ]

Further simplifying the expressions
[ y + 7 + 10 ] [ y + 7 - 10 ]
( y + 17 ) ( y - 3)

So the product of two linear binomials is
(y+17)(y-3)

Two towns are located at points A(2,-2) and B (8,5). A new school is to be built on a straight road with equation -x+7y=-4. Find the location of the school so that it is equaidistant from the two towns

Answers

Final answer:

The problem asks for a location that is equidistant from towns A and B and lies on the given road. Calculating the midpoint of A and B, we get (5, 1.5). However, this point does not lie on the road denoted by -x + 7y = -4. So, we cannot determine the exact location of the school with the given conditions.

Explanation:

In this problem, the location of the school should be the midpoint of the line between towns A and B as it is equidistant from both towns. First, let's calculate the midpoint (M) coordinates. The formulas for finding the x and y coordinates of the midpoint are (x1 + x2) / 2 and (y1 + y2) / 2 respectively. Using these formulas, we get the coordinates of M as (2+8)/2, (-2+5)/2 = (5, 1.5). However, we should ensure that this point lies on the given road, which is denoted by the equation -x + 7y = -4. Substituting the coordinates of M in the equation, we get -5 + 7*1.5 = -5 + 10.5 = 5.5 which is not equal to -4. So, (5, 1.5) is not a valid location for the school. Unfortunately, with the given conditions, we cannot determine the exact location of the school. Additional information or revision of the conditions might be necessary to solve this problem.

Learn more about Coordinate Geometry here:

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A function is shown in the table.x g(x)
−2 2
−1 −3
0 2
1 17

Which of the following is a true statement for this function?
(A)The function is increasing from x = −2 to x = −1.
(B)The function is increasing from x = 0 to x = 1.
(C)The function is decreasing from x = −1 to x = 0.
(D)The function is decreasing from x = 0 to x = 1.

Answers

Answer:

(B) increasing from x=0 to x=1

Step-by-step explanation:

I took the test

A bag contains 88 red, 66 orange, and 99 green jellybeans. What is the probability of reaching into the bag and randomly withdrawing 1212 jellybeans such that the number of red ones is 22, the number of orange ones is 44, and the number of green ones is 66? Express your answer as a fraction or a decimal number rounded to four decimal places.

Answers

Answer:

P ( 2 R , 4 O , 6 G ) = 0.0261

Step-by-step explanation:

Given:

- Red beans = 8

- Orange beans = 6

- Green beans = 9

Find:

What is the probability of reaching into the bag and randomly withdrawing 12 jellybeans such that the number of red ones is 2, the number of orange ones is 4, and the number of green ones is 6?

Solution:

- The question requires the number of selection of 12 jellybeans we can make from total available such that out of those 12 we choose 2 Red, 4 Orange and 6 Green.

- For selection we will use the combinations. So to choose 2 Red from 8; Choose 4 Orange from 6 and 6 green from 9 available. The number of possible outcomes with such condition is:

Outcomes ( 2 R , 4 O , 6 G ) = 8C2 * 6C4 * 9C6

= 28*15*84

= 35280

- The total number of outcomes if we randomly select 12 beans irrespective how many of each color we select from available 23 we have:

Outcomes ( Select 12 from 23 ) = 23C12

= 1352078

- Hence, the probability for the case is given by:

P ( 2 R , 4 O , 6 G ) = Outcomes ( 2 R , 4 O , 6 G ) / Outcomes ( Select 12 from 23 )

P ( 2 R , 4 O , 6 G ) = 35280 / 1352078 = 0.0261

A coin is biased such that it results in 2 heads out of every 3 coin flips,on average.Which statement is true?A.)The theoretical probability of getting heads from an unbiased coin is about 66%.B.)The sequence HTHTTHTTT is valid for the biased coinC.)The biased coin has about a 33% probability of displaying tails.D.)The sequence HTTHTHTHT is valid for the biased coin.