MATHEMATICS HIGH SCHOOL

Give the coordinates for point A without using any new variables

Answers

Answer 1

Answer: $7.\nA(n+1;\ m)\n\n8.\nA(k;\ 0)$

Answer 2

Answer:

Answer:

C-a, b

Step-by-step explanation:

Related Questions

X^2+6x=13What Is The Result After Completing The Square ?
Which of these do you prove with a geometric proof? Select one of the options below as your answer:. . A.. experiments. B.. opinions. C.. postulates. D.. theorems.
You earn $420 per week. You pay social security taxes of 7.65%, federal taxes of 22%, and state taxes of 5.95%. What is your take home pay?
Expand and simplify. (x+4)squared
Half of a number is equal to 8 more than the number.

Select all that apply.Which statements are correct?

Percent of change is positive if the change is an increase.
Percent of change is positive if the change is a decrease.
Percent of change is negative if the change is an increase.
Percent of change is negative if the change is a decrease.

Answers

Correct statements are the following:

Percent of change is positive if the change is an increase.
Percent of change is negative if the change is a decrease.

Answer:

the other person is correct!!!

Step-by-step explanation:

What is the effective interest rate of an 8% 13-week Treasury bill? Assume it is a $10,000 Treasury bill, and round your answer to the nearest hundredth percent.

Answers

Answer:

The answer is 8.24%.

Step-by-step explanation:

The rate r = 8% is for 1 year or 52 weeks.

As given there are 13 weeks term so total there will be = 4 terms.

So, n = 4

The effective interest rate R is given by:

R = $(1+r/n)^n-1$

= $(1+0.08/4)^4-1$

= $(1.02)^4-1$

= 0.0824

And in percentage, it is 8.24%.

The effective interest rate is $\boxed{8.24\% }$ and the interest is $\boxed{200}.$

Further explanation:

The compound interest rate formula can be expressed as follows,

$\boxed{A = P{{\left( {1 + i}\right)}^n}}$

Here, A represents the amount, P represents the principal amount, i represents the interest rate and n represents the time.

The interest rate in a year is known as the effective interest rate.

The relationship between effective interest rate and nominal interest rate can be expressed as follows,

$\boxed{i = {{\left( {1 + \frac{{{i^n}}}{n}}\right)}^n} - 1}$

Here, i represents the effective interest rate, ${i^n}$ represents the nominal interest rate, n represents the period of interest rate.

Given:

The nominal interest rate is $8\%$ in a 13 week treasury bill.

The amount of Treasury bill is $\$ 10000.$

Explanation:

There are 52 weeks in a year.

The value of n can be calculated as follows,

$\begin{aligned}n&= \frac{{52}}{{13}}\n&= 4\n\end{aligned}$

The effective interest rate can be calculated as follows,

$\begin{aligned}i&= {\left( {1 + \frac{{0.08}}{4}} \right)^4} - 1\n&= {\left( {1.02} \right)^4} - 1\n&= 0.0824\n\end{aligned}$

The interest can be calculated as follows,

$\begin{aligned}{\text{Interest}}&= P* i * t\n&= 10000* 0.08 * \frac{{13}}{{52}}\n&= 200\n\end{aligned}$

The effective interest rate is $\boxed{8.24\% }$ and the interest is $\boxed{200}.$

Learn more:

1. Learn more about inverse of the functionbrainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Compound interest

Keywords: Principal, invested, interest rate, account, effective interest rate, total interest, 8\% Treasury bill, nearest hundredth percent, amount.

Which statements about the graph of the function f(x) = 2x2 – x – 6 are true? Check all that apply.The domain of the function is .
The range of the function is all real numbers.
The vertex of the function is .
The function has two x-intercepts.
The function is increasing over the interval (, ∞).

Answers

Hello,

1: dom f=R
2: img f =R
3: 2x²-x-6=2(x²-2x/4+1/46)-6-1/8=2(x-1/4)²-49/8
Vertex=(1/4,-49,8)

4: roots are -3/2 and 2
2(x-1/4)²-49/8=1/8[(4x-1)²-49]=1/8*(4x+6)(4x-8)

5:
From the vertex to ∞
[-1/4 , ∞)

Answer: -1/4, infinity

Step-by-step explanation:

0.0052 scientific notation

Answers

To put a number into scientific notation, we multiply or divide the number by 10 over and over until we have a number between 1 and 10. But we can't just change a number so we have to account for what we did by describing how many times we multiplied or divided with exponents.

Each time we multiply by 10 the decimal moves 1 place to the right. Each time we divide by 10 the decimal moves 1 place to the left. The exponent we use will describe the number of times we moved the decimal to the right or left. The exponent will be positive or negative to describe the direction we need to move the decimal to represent our original number.

I know... that sounds confusing, but it's really easy! Let's do yours...

0.0052

Now we need to move the decimal to get a number between 1 and 10. So we move the decimal 3 places to the right to get 5.2

Now we have to describe how to get to the original number with the exponents. We moved the decimal 3 places right so to get our number back we would have to move it back 3 places to the left so negative exponent 3... Here's how we represent it..

5.2 x 10^-3

So what that says is if we take 5.2 and divide it by 10 three times,we will get our original number.

Answer:

5.2 x 10^-3

Step-by-step explanation:

An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated.(a) Draw the possibility diagram of the product of the two numbers appearing on the die in each throw (b) Use the possibility diagram to calculate the probability that the product of the two numbers is I) A prime number ii) Not a perfect square iii) A multiple of 5 iv) Less than or equal to 21 v) Divisible by 4 or 6

Answers

Answer:

(a) Shown below.

(b) Explained below.

Step-by-step explanation:

(a)

The sample space of rolling an 8-sided die twice is as follows:

S = {(1 , 1) , ( 1 , 2) , ( 1, 3) , ( 1, 4 ) , ( 1, 5) , ( 1 , 6 ) , ( 1, 7 ) , ( 1, 8) ,

(2 , 1) , (2 , 2) , ( 2, 3) , ( 2, 4 ) , ( 2, 5) , (2 , 6 ) , ( 2, 7 ) , ( 2, 8) ,

(3 , 1) , ( 3, 2) , ( 3, 3) , ( 3, 4 ) , ( 3, 5) , ( 3 , 6 ) , (3, 7 ) , ( 3, 8) ,

(4, 1) , ( 4 , 2) , ( 4, 3) , ( 4, 4 ) , ( 4, 5) , (4 , 6 ) , (4, 7 ) , (4, 8) ,

(5, 1) , ( 5 , 2) , ( 5, 3) , (5, 4 ) , ( 5 ,5) , (5, 6 ) , ( 5, 7 ) , ( 5, 8) ,

(6 , 1) , ( 6 , 2) , ( 6, 3) , (6, 4 ) , ( 6, 5) , (6 , 6 ) , ( 6, 7 ) , ( 6, 8) ,

(7 , 1) , ( 7 , 2) , ( 7, 3) , ( 7, 4 ) , ( 7 , 5) , ( 7, 6 ) , ( 7, 7 ) , (7, 8) ,

(8 , 1) , ( 8 , 2) , (8, 3) , ( 8, 4 ) , ( 8, 5) , ( 8 , 6 ) , ( 8, 7 ) , ( 8, 8)}

There are a total of N = 64 elements.

(b)

(i)

The product of the two numbers is a prime number:

Product is a prime number samples:

2 = ( 1, 2) , ( 2, 1)

3 = ( 1 , 3) , ( 3 , 1)

5 = ( 1, 5) , ( 5 , 1)

7 = ( 1, 7) , ( 7 , 1)

Number of samples, n = 8

P (Product is a prime number) = 8/64 = 1/8 = 0.125.

(ii)

The product of the two numbers is not a perfect square :

Product is not a perfect square samples:

2 = ( 1, 2) , ( 2, 1)

3 = ( 1 , 3) , ( 3 , 1)

5 = ( 1, 5) , ( 5 , 1)

6 = ( 1, 6) , ( 2, 3) , ( 3, 2) , ( 6 , 1)

7 = ( 1, 7) , ( 7 , 1)

8 = ( 1 , 8) , ( 2, 4) , ( 4 , 2) , ( 8 , 1)

10 = ( 2, 5) , ( 5, 2)

12 = (2 , 6) , ( 3 , 4) , ( 4 3) , ( 6 , 2)

14 = ( 2, 7) , ( 7 , 2)

15 = (3 , 5) , ( 5 , 3)

18 = ( 3, 6) , ( 6 , 3)

20 = ( 4, 5) , ( 5, 4)

21 = ( 3 , 7) , ( 7 , 3)

24 = ( 3 , 8) , ( 4 , 6 ) , ( 6 , 4) , ( 8 , 3)

28 = ( 4 , 7) , ( 7 , 4)

30 = ( 5 , 6) , ( 6 ,5 )

32 = ( 4 , 8) , ( 8 , 4)

35 = ( 5 , 7) , ( 7 , 5)

40 = ( 5 , 8) , ( 8 , 5)

42 = ( 6 , 7) , ( 7 , 6)

48 = ( 6 , 8) , ( 8 , 6)

56 = ( 7 , 8) , ( 8 , 8)

Number of samples, n = 52

P (Product is not a perfect square) = 52/64 = 0.8125

(iii)

The product of the two numbers is a multiple of 5:

Product is a multiple of 5 samples:

5 = ( 1, 5) , ( 5 , 1)

10 = ( 2, 5) , ( 5, 2)

15 = (3 , 5) , ( 5 , 3)

20 = ( 4, 5) , ( 5, 4)

25 = ( 5 , 5)

30 = ( 5 , 6) , ( 6 ,5 )

35 = ( 5 , 7) , ( 7 , 5)

40 = ( 5 , 8) , ( 8 , 5)

Number of samples, n = 15

P (Product is a multiple of 5 ) = 15/64 = 0.2344.

(iv)

The product of the two numbers is less than or equal to 21:

Product is less than or equal to 21 samples:

1 = ( 1, 1)

2 = ( 1, 2) , ( 2, 1)

3 = ( 1 , 3) , ( 3 , 1)

4 = (1 , 4) , ( 2, 2) , ( 4, 1)

5 = ( 1, 5) , ( 5 , 1)

6 = ( 1, 6) , ( 2, 3) , ( 3, 2) , ( 6 , 1)

7 = ( 1, 7) , ( 7 , 1)

8 = ( 1 , 8) , ( 2, 4) , ( 4 , 2) , ( 8 , 1)

9 = ( 3, 3)

10 = ( 2, 5) , ( 5, 2)

12 = (2 , 6) , ( 3 , 4) , ( 4 3) , ( 6 , 2)

14 = ( 2, 7) , ( 7 , 2)

15 = (3 , 5) , ( 5 , 3)

16 = (2 , 8) , ( 4 , 4) , ( 8 , 2)

18 = ( 3, 6) , ( 6 , 3)

20 = ( 4, 5) , ( 5, 4)

21 = ( 3 , 7) , ( 7 , 3)

Number of samples, n = 40

P (Product is less than or equal to 21) = 40/64 = 0.625.

(v)

The product of the two numbers is divisible by 4 or 6:

Product is divisible by 4 or 6 samples:

4 = (1 , 4) , ( 2, 2) , ( 4, 1)

6 = ( 1, 6) , ( 2, 3) , ( 3, 2) , ( 6 , 1)

8 = ( 1 , 8) , ( 2, 4) , ( 4 , 2) , ( 8 , 1)

12 = (2 , 6) , ( 3 , 4) , ( 4 3) , ( 6 , 2)

16 = (2 , 8) , ( 4 , 4) , ( 8 , 2)

18 = ( 3, 6) , ( 6 , 3)

20 = ( 4, 5) , ( 5, 4)

24 = ( 3 , 8) , ( 4 , 6 ) , ( 6 , 4) , ( 8 , 3)

28 = ( 4 , 7) , ( 7 , 4)

30 = ( 5 , 6) , ( 6 ,5 )

32 = ( 4 , 8) , ( 8 , 4)

36 = (6 , 6)

40 = ( 5 , 8) , ( 8 , 5)

42 = ( 6 , 7) , ( 7 , 6)

48 = ( 6 , 8) , ( 8 , 6)

56 = ( 7 , 8) , ( 8 , 8)

64 = ( 8 , 8)

Number of samples, n = 42

P (Product is less than or equal to 21) = 42/64 = 0.6563.

9/11= ?/22 need help please

Answers

9/11 equals 18/22 because when u r doing this 11 times 2 equals twent two and nine times two equals eighteen therefore the answer is 18/22.

9/11=x/22
times 22 both sides
(9*2)/1=(22x)/22
18=x
x=18

Other Questions

2x-17x+15=0 solve for x

If f(1)=3 and f(n)=-2f(n-1)+1,then f(5)=

The perfect squares between 20 and 61

What is the period of the sinusoid given by y=-4 sin(2 pi/3 x)?