find each percent increase
from 20 teachers to 30 teachers ___​

Answer:

4/5

Step-by-step explanation:

the equation of slope is y1-y2/ x1-x2

you get 4/5

Answer:

Monique is correct.

Step-by-step explanation:

You take the absolute value of both numbers (which means the positive version of it) and add that together.

7+17=24

Answer:

{xl x > 5)

Hope This Helps!

Answer:

what do you need? ^-^ I can help you

Answer: Number of winning tickets =7 and Number of losing tickets = 28 .

Step-by-step explanation:

Given: Total tickets = 35

The ratio of winning tickets to losing tickets = 1:4

Number of winning tickets = [tex]\dfrac{1}{1+4}\times35[/tex]

[tex]=\dfrac{1}{5}\times35\\\\=7[/tex]

Number of losing tickets = [tex]\dfrac{4}{5}\times35[/tex]

[tex]=4\times7=28[/tex]

Hence, Number of winning tickets =7 and Number of losing tickets = 28 .

Answer:

7 wining tickets and 28 losing tickets

Step-by-step explanation:

Answer:

Yes it is a ploygon

convex

both

octagon

Step-by-step explanation:

Answer:

(3 , 1)

Step-by-step explanation:

(3 , - 3)

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

Answer:

x = 4

Step-by-step explanation:

4(2x-1) = 11+3x+5 simply both sides

(4)(2x)+(4)(-1) = 11+3x+5

distribute

8x+(-4) = 11+3x+5

8x−4=(3x)+(11+5) Combine Like Terms

8x−4=3x+16

8x−4=3x+16

Subtract 3x from both sides.

8x−4−3x=3x+16−3x

5x−4=16

Add 4 to both sides.

5x−4+4=16+4

5x=20

Divide both sides by 5.

5x/5 = 20/5

Answer:

n=3

Step-by-step explanation:

9 x -1 x n = 9 x -3

-9n=-27

9n=27

n=27/9

n=3

So value of n is 3

Step-by-step explanation:

[tex]f(t) = t - 2 \: \: \: \: \: \: \: \: \: g(t) = t - 5 \\ ( \frac{f}{g} )(t) = \frac{t - 2}{t - 5} [/tex]

Answer:

a + 7

so "a" is 4 so

4+7=11

Hope this helps!

If a=4 and the equation is a+7 then the equation would be, with the numbers plugged in, 4+7 which equals 11.

Answer: 11

Answer:

a horizontal line pass the y axis of -5

Answer:

The correct option is a. Amy’s balance would be greater than Hank’s in the end.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Amy invested $500 per month in a 401k that earned 6% annual return for 40 years. Hank invested $1,000 per month in a 401k that also earned 6% annual return, but for 20 years. Which of the following would be true?

a. Amy’s balance would be greater than Hank’s in the end.

b. Amy’s balance is $5,142 and Hank’s balance is $3,207.

c. Hank’s balance would be greater than Amy’s in the end.

d. The investment and balance would be the same.

e. None of these are true

The explanation to the answer is now given as follows:

The balance in the end for each can be determined using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:

FV = M * (((1 + r)^n - 1) / r) ................................. (1)

Where;

For Amy:

FV = Future value or balance in the end = ?

M = Monthly investment = $500

r = Monthly interest rate = 6% / 12 = 0.06 / 12 = 0.005

n = number of months the investment will be made = 40 years * 12 months = 480

Substituting the values into equation (1), we have:

FV = $500 * (((1 + 0.005)^480 - 1) / 0.005)

FV = $500 * 1,991.49

FV = $995,745.37

Therefore, Amy’s balance would be $995,745.37 in the end.

For Hank:

FV = Future value or balance in the end = ?

M = Monthly investment = $1,000

r = Monthly interest rate = 6% / 12 = 0.06 / 12 = 0.005

n = number of months the investment will be made = 20 years * 12 months = 240

Substituting the values into equation (1), we have:

FV = $1,000 * (((1 + 0.005)^240 - 1) / 0.005)

FV = $1,000 * 462.04

FV = $462,040.90

Therefore, Hank’s balance would be $462,040.90 in the end.

Conclusion

Since Amy’s balance of $995,745.37 is greater than Hank’s balance $462,040.90, it therefore implies that the correct option is a. Amy’s balance would be greater than Hank’s in the end.

Answer:

first one is 32

the second one is 53

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let RS = x , then PS = x²

2x² + 2x = 84

x² + x - 42 = 0

(x + 7)(x - 6) = 0

x = 6

PQ and RS are 6

QR and SP are 36

Answer:

option 2

Step-by-step explanation:

they have the same shape AND angle meaning they are more so similar than other options

Answer:

Its A

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

Answer:

[tex]( - 4)( - 2) = \boxed{8}[/tex]

The integers from -102 to 102 would all cancel, leaving you with

(-102) + (-101) + ... + 0 + 1 + 2 + ... + 101 + 102 + 103 + 104

= 103 + 104

= 207

R(x) is a polynomial of degree 7, so it has up to 7 distinct complex roots r₁, ..., r₇, and we can write it in terms of these roots as

R(x) = (x - r₁) (x - r₂) ... (x - r₇)

The coefficients of R(x) are all real, so the roots must all be complex numbers, and any of these roots with non-zero imaginary parts must occur along with their complex conjugates. This means if a + b i is a root, then is a - b i is also a root.

(a) We're told that -5 - 3i and 2i are roots to R(x), so we also know that -5 + 3i and -2i are roots.

There are 4 roots accounted for, leaving us with 3 unknown roots. These roots cannot all be non-real, because we can only count 2 of them as a conjugate pair. So we can have either

(b) at most 3 real roots, or

(c) at most 2 non-real roots and 1 real root.

Answer:

4 cm is the best answer for this one

Step-by-step explanation:

David read 156 books

Victoria read 98 books more than David

Victoria read 156 + 98 = 254 books

Answer:

C. (9, 26)

Step-by-step explanation:

By Substitution:

y = 2x + 8

y = 3x - 1

---------------------

2x + 8 = 3x - 1

-x + 8 = -1

-x = -9

x = 9

Now we can choose either of the two equations given to solve for y:

y = 2x + 8

y = 2(9) + 8

y = 18 + 8

y = 26

(9, 26)

By Elimination:

For this process, I am going to rewrite the equation in "x + y" for as it will make it easier to eliminate the variables

y = 2x + 8

2x - y = -8

y = 3x - 1

-3x + y = -1

-----------------

2x - y = -8

-3x + y = -1

-----------------

-x = -9

x = 9

2x - y = -8

2(9) - y = -8

18 - y = -8

-y = -26

y = 26

(9, 26)

Answer:

666

Step-by-step explanation:

From this question,

a = 1-99%

a = 1-0.99

a = 0.01

5% = z(0.05) = 2.58 when we check the standard normal table

Therefore we calculate n as:

n = (z/E)²*p*1-p

Z = 2.58

E = 0.05

P = 0.5

1-p = 0.5

(2.58/0.05)²x0.5x0.5

= 51.6²x0.5x0.5

= 665.64

Therefore n is approximately 666.