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3 years ago

Divide a salad with six friends, 1/3 is missing, how much does each person get?

1 answer:

4 0

Each friend gets 1/9. If you have 1 salad and 1/3 is missing that leaves you with 2/3, you have 6 friends and I am assuming they each get an equal amount so 2/3 equals 4/6, 4/6 equals 6/9, there are 6 people, they each get 1/9.

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The function f(x)=2x+1 is defined over the interval [2, 5]. If the interval is divided into n equal parts, what is the value of

vodomira [7]

Answer:

D. 5 +6k/n

Step-by-step explanation:

The width of the interval is (5 -2) = 3. The width of one of n parts of it will be ...

3/n

Then the difference between the left end point of the interval and the value of x at the right end of the k-th rectangle will be ...

k·(3/n) = 3k/n

So, the value of x at that point is that difference added to the interval's left end:

2 + 3k/n

The value of the function for this value of x is ...

f(2 +3k/n) = 2(2 +3k/n) +1 = (4 +6k/n) +1

= 5 +6k/n

4 0

3 years ago

You decide to put $2,000 in a savings account to save for a $3,000 downpayment on a new car. If the account has an interest rate

DanielleElmas [232]

It takes 10.155 years until you have $3,000 ⇒ 3rd

Step-by-step explanation:

The formula for compound interest, including principal sum is:

$A=P(1+\frac{r}{n})^{nt}$ , where

A is the future value of the investment/loan, including interest
P is the principal investment amount
r is the annual interest rate (decimal)
n is the number of times that interest is compounded per unit t
t is the time the money is invested or borrowed for

∵ You decide to put $2,000 in a savings account

∴ P = 2000

∵ You want to save for $3,000

∴ A = 3000

∵ The account has an interest rate of 4% per year and is

compounded monthly

∴ r = 4% = 4 ÷ 100 = 0.04

∴ n = 12 ⇒ compounded monthly

- Substitute all of these values in the formula above to find t

∵ $3000=2000(1+\frac{0.04}{12})^{12t}$

- Divide both sides by 2000

∴ $1.5=(1+\frac{1}{300})^{12t}$

∴ $1.5=(1\frac{1}{300})^{12t}$

- Change the mixed number to an improper fraction

∴ $(1.5)=(\frac{301}{300})^{12t}$

- Insert ㏒ for both sides

∴ $log(1.5)=log(\frac{301}{300})^{12t}$

- Remember $log(a)^{n}=nlog(a)$

∴ $log(1.5)=(12t)log(\frac{301}{300})$

- Divide both sides by $log(\frac{301}{300})$

∴ 121.84 = 12 t

- Divide both sides by 12

∴ 10.155 = t

It takes 10.155 years until you have $3,000

Learn more:

You can learn more about the compound interest in brainly.com/question/4361464

#LearnwithBrainly

5 0

3 years ago

How can probabilities be used to make fair decisions?

GarryVolchara [31]

he magician starts with the birthday boy and moves clockwise, passing out 100100100100 pieces of paper numbered 1111 through 100100100100. He cycles around the circle until all the pieces are distributed. He then uses a random number generator to pick an integer 1111 through 100100100100, and chooses the volunteer with that number.

Method2: The magician starts with the birthday boy and moves counter-clockwise, passing out 75757575 pieces of paper numbered 1111 through 75757575. He cycles around the circle until all the pieces are distributed. He then uses a random number generator to pick an integer 1111 through 75757575, and chooses the volunteer with that number.

Method 3\: The magician starts with the birthday boy and moves clockwise, passing out 30303030 pieces of paper numbered 1111 through 30303030. He cycles around the circle until all the pieces are distributed. He gives #1111 to the birthday boy, #2222 to the next kid, and so on. He then counts the number of windows in the room and chooses the volunteer with that number.

yes probabilites can be used to make fair ones

thanx

heya

6 0

3 years ago

(-4k4 + 14 + 3k?) + (-364 - 14k - 8)

zepelin [54]

Answer:

it equals 38 because eit makes alot of sense and I e it with

5 0

3 years ago

Somebody, please help

SashulF [63]

F(x) can be written as:
f(x) = Asin(2x); where A is the amplitude and the period of the function is half that of a normal sin function.
f(π/4) = 4
4 = Asin(2(π/4))
4 = Asin(π/2)
A = 4
Amplitude of g(x) = 1/2 * amplitude of f(x)
A for g(x) = 2
g(x) = 2sin(x)

5 0

3 years ago