103,688- 89,176 equal to what? ​

The situation can be modeled by a geometric sequence with an initial term of 284. The student population will be 104% of the prior year, so the common ratio is 1.04.

Let \displaystyle PP be the student population and \displaystyle nn be the number of years after 2013. Using the explicit formula for a geometric sequence we get

{P}_{n} =284\cdot {1.04}^{n}P

n

=284⋅1.04

n

We can find the number of years since 2013 by subtracting.

\displaystyle 2020 - 2013=72020−2013=7

We are looking for the population after 7 years. We can substitute 7 for \displaystyle nn to estimate the population in 2020.

\displaystyle {P}_{7}=284\cdot {1.04}^{7}\approx 374P

7

=284⋅1.04

7

≈374

The student population will be about 374 in 2020.

Answer:

9) 56.5

10) 43.98, so rounds to 44.0

11) 71.6

12) 23.9

13) 69.1

14) 50.3

Step-by-step explanation:

Circumference is 2[tex]\pi[/tex]r.

9) 56.5

10) 43.98, so rounds to 44.0

11) 71.6

12) 23.9

13) 69.1

14) 50.3

Answer:

A -  (2a+0)/2 ; (2b+0)/2  = ( a , b )

B -  (-2a+0)/2 ; (2b+0)/2  = ( - a, b )

C - (-2a+0)/2 ; ( -2b+0)/2  = ( - a, - b )

D - (2 a+0)/2 ; (-2b+0)/2  = ( a , - b )

Step-by-step explanation:

Given:

The figure of a trapezoid.

Length of mid-segment = 5.5

Height of the trapezoid = [tex]6\sqrt{3}[/tex]

To find:

The area of the trapezoid.

Solution:

The area of a trapezoid is:

[tex]A=M\times h[/tex]       ...(i)

[tex]A=\dfrac{a+b}{2}\times h[/tex]

Where, a,b are bases and h is the vertical height.

We know that [tex]M=\dfrac{a+b}{2}[/tex] is the length of the mid-segment.

Putting M=5.5 and [tex]h=6\sqrt{3}[/tex] in (i), we get

[tex]A=5.5\times 6\sqrt{3}[/tex]

[tex]A=33\sqrt{3}[/tex]

Therefore, the area of the trapezoid is [tex]33\sqrt{3}[/tex] units squared.

Answer:

Rate = 10%

Step-by-step explanation:

Given:

Amount deposit = 25,000

Amount get = 26,250

Time = 6 month = 6 / 12 = 0.5 year

Find:

Rate

Computation:

Interest = Amount get - Amount deposit

Interest = 26,250 - 25,000

Interest = 1,250

Interest = P x R% x T

1,250 = 25,000 x R% x 0.5

Rate = 10%

Answer:

A

Step-by-step explanation:

a translation 16 units to the left will replace x with x+16, and a translation 6 units down will replace g(x) with g(x)-6, so it's A.

Answer:

There are 12 sections on the spinner, and out of the 12 sections, 5 of them are red.

If he spins the spinner 48 times, he should expect 5x4, or 20 of the spins to land on red.

Let me know if this helps!

Answer: The eccentricity of the conic section shown in the given picture = 0

Step-by-step explanation:

The eccentricity of a conic is measure to determine how un-circle a conic section.

In the given picture, we have a circle.

A circle has an eccentricity of zero.

Therefore, the eccentricity of the conic section shown in the given picture = 0

Answer:

Female

Step-by-step explanation:

...look at those numbers dude

Answer:

Step-by-step explanation:

1) 5/10

2) 9/12

3) 4/16

4) 2/6

Answer:

A

Step-by-step explanation:

Hey There!

So the first thing that we want to do is find the formula for volume of a pyramid

[tex]V=\frac{lwh}{3}[/tex]

l = length

w = width

h = height this is a square pyramid so if the length is 8 then the width is 8

So all we have to do now knowing the formula is plug in the values

[tex]V=\frac{8*8*9}{3} \\8*8=64\\V=\frac{64*9}{3} \\64*9=576\\V=\frac{576}{3} \\\frac{576}{3} =192\\[/tex]

So we can conclude that the volume of the square pyramid is 192

hope this helps :)

Answer:

198

Step-by-step explanation:

V= a^2 h/3 = 8^2 x 9/3 = 192

Or

Volume = The base edge squared multiplied by the height divided by three. Which would convert to-

Volume = 8^2 x 9/3 = 192

Answer:

3/4

Step-by-step explanation:

If 2 out of 8 of the kittens are white, than 6 aren't white. That fraction would be 6/8 but when you simplify you get 3/4.

The answer is 3/4 of the kittens are not white.

This a simplifed version of 6/8 which is the complement of 2/8, the amount of white kittens.

Hope this helps, if not, comment below please!!!

:L

Answer:

algebraic expression: 3x + 2b

coefficients: 3 and 2

variables: w and b

# of terms: 2

constant: 0

algebraic expression: 6xy - 2c + 4

coefficients: 6 and -2

variables: x, y, and c

# of terms: 3

constant: 4

algebraic expression: 2/3 y - 3p

coefficients: 2/3 and -3

variables: y and p

# of terms: 2

constant: 0

Answer:

Problem 1:

Coefficients are : 3 & 2

Variables are: w & b

Number of terms: 2

Constant: none

Problem 2:

Coefficients are : 6 & -2

Variables are: xy & c

Number of terms: 3

Constant: 4

Problem 3:

Coefficients are : [tex]\frac{2}{3}[/tex] & -3

Variables are: y & p

Number of terms: 2

Constant: none

Step-by-step explanation:

Okay, lets break this down.

An Algebraic expression is not meant to be solved, but rather used to determine the various components inside of it to better understand how to solve equations later on. Although for now lets look at these problems. :

A Coefficient in terms of algebra, is the number before a variable. In other terms, a coeffiecient is the number before the letter such as 3w. Looking at 3w we see that there are two parts: 3, and w.

The number 3 is the coefficient while the variable is the letter w. Variables are always the letters.

Variable: A letter used to determine an unknown value such as x

Now a term is a single mathematical expression. It may be a single number (positive or negative), or a single variable ( a letter). (Can also be a coeffient with a variable multiplied or divided by one another as such :

[tex]3w = 3*w\\\frac{3}{w} = 3 / w[/tex]

 Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.

Now with that said, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.

With all of that said, lets look at the problems given:

Problem 1:

Coefficients are : 3 & 2

Variables are: w & b

Number of terms: 2

Constant: none

Problem 2:

Coefficients are : 6 & -2

Variables are: xy & c

Number of terms: 3

Constant: 4

Problem 3:

Coefficients are : [tex]\frac{2}{3}[/tex] & -3

Variables are: y & p

Number of terms: 2

Constant: none

I would be happy to help you again in the future, and hope that this provide you with some clarification. Have a nice day!

Answer:

x=-5

Step-by-step explanation:

3x+6=-9

   -6    -6

3x=-15

x=-5

Answer:

=  − 5

Step-by-step explanation:

The steps are in the (2) pictures below. Hope this helps!

Answer:

y= 2x + 3/2

Step-by-step explanation:

First, place a point on (1,3).

Since slope is rise/run, move your pencil up 2 units and to the right one. Place a point there. Repeat until you reach your desired length.

Answer:

42m+10n+27

Step-by-step explanation:

Adding like terms

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

18/25, 17/20, -10

Step-by-step explanation:

Answer:

Step-by-step explanation:

b line segment

Answer:

494

Step-by-step explanation:

365 minus 21 days for the 3 weeks off. Approximately 52 weekends, 52 multiplied by 9.5 equals 494 hours.

Answer:

70.76

Step-by-step explanation:

Answer:

70.2

Step-by-step explanation:

156*0.45

,.Answer:

Step-by-step explanation:

Answer:

857.50

Step-by-step explanation:

$3,500 x .035= 122.5x7= 857.50

Answer:

1.05882352941

Step-by-step explanation:

Answer:

Volume = 27 cubic units

Step-by-step explanation:

First, the formula of volume is l x h x w.

Second, the l, h, and w, are all 3, so to get your answer you do 3 x 3 x 3 which equals 27.

Hope this helps!

Answer:

[tex] 9 \frac{1}{3} [/tex]

Step-by-step explanation:

Let when x divided by 7 will produce [tex] 1\frac{1}{3} [/tex]

[tex]x \div 7 = 1 \frac{1}{3} \\ \\ x \times \frac{1}{7} = \frac{4}{3} \\ \\ x = \frac{7 \times 4}{3} \\ \\ x = \frac{28}{3} \\ \\ x = 9 \frac{1}{3} [/tex]

Answer:

2976 in³

Step-by-step explanation:

Stool volume = upper smaller prism + Lower bigger prism

Stool volume = 8 x 6 x 12 + 20 x 12 x 10 = 576 + 2400 = 2976

check: volume = 20 x 12 x 16 - 12 x 12 x 6 = 2976

Answer:

28 learners

Step-by-step explanation:

Boys : Girls

3 : 4

Since there are 12 boys and 3 units of them...

3 units = 12

1 unit = 12 ÷ 3 = 4

Girls =

4 units = 4 x 4 = 16

Total number of girls and boys: 12 + 16 = 28