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Then just do it with a calculator.

Most calc have an    \(^nC_r\)     button

the first one is just

\(4\;^nC_r\;0+ etc\\ \text{Anyway you should know that }^nC_r\;0 =1\)

On the web 2 calc just write in

nCr(4,0) +       etc

This is not a question.

ARe they meant to be binomial coefficients or vectors or what?

This is a simple subtraction problem. All you have to do is subtract the distance between Adrian and school from the distance between Kevin and school. (Please don't forget unit conversions)

I'm going with  "D"

ABC  is a right triangle  with  AC the hypotenuse  = 5

Its area  = (1/2) product of the leg lenghts =   (1/2) (3 * 4)   = 6

Since its base is  5.....its altitude is

6  = (1/2) AC * altitude

12  = 5 * altitude

altitude  = 12/5

And triangle WBZ is similar to triangle ABC

So

altitude of WBZ  / base of WBZ  = altitude of ABC  / base of ABC

(12/5  - S ] / S  = (12/5) / 5      where S  = the side of the square

(12/5 - S) * 5 = (12/5)S

12 - 5S  = (12/5)S

12 =  5S + (12/5)S

12 = S [ 5 + 12/5 ]

12 = S [  37/5 ] 

!2 [ 5/37]  = S

60/37    =  S

Mmmmm...none of these...

A  roots are -6  -3, -2  -1

B roots are  -3, -1, 2, 6

C is the same graph as  B

D roots are  1,   2,   3,   6

OOPS...thanks, guest for the correction  !!!

Nice job, tertre  !!!

I think it should have read..." during a hot Summer week..."

Graph C

It crosses the x axis at  -2, 0 and 3   [ its roots ]

Triangles ADE, CD share the same base  (AC)

And triangles ADE and CDE  have the same altitudes...so....their bases are to each other as their areas

So  AD /DC  = 9/6   = 3/2

So...there are  5 equal parts of AC....and  AD  is 3 of them

So......AC / AD  =  5/3

Since triangles ADE and ABC are similar....the scale factor  of triangle  ABC to  triangle  ADE  is  (5/3)

So...  [ABC ] =  [scale factor of  ABC to ADE]^2  *  [ ADE ]  =

(5/3)^2 *  [ 9 ]  = 

25 / 9   *  [9]  =

25 units^2

Pungce, why did you not respond to my question I asked on your last post?

I thought that was very rude.

You did not give Dimitristhym any feedback either. That was also rude. If you did not understand his answer, or it was too complicated or badly presented to follow, or if you thought it was wrong then you should have said so. You should not just ignore people!

CPhill: You made a small error in that Tyresa "wants to buy a car but doesn't want to spend more than $350 a month FOR A MAXIMUM OF FOUR YEARS". That is the term is for 48 months. The rates offered by the bank are for UP TO 72 MONTHS.

At any rate, here are the amounts worked out for 48 MONTHS:

1) Maximum amount to borrow for a new car @ 2.79%, $350 per month, for 4 years or 48 months.

The amount =$15,879.04. Use the formula given to you to get this amount.

2) Maximum amount to borrow for a used car @ 3.29%, $350 per month, for 4 years or 48 months.

The amount=$15,721.34. Again, use the formula given to you to get this amount.

Note: As you can see, there is very little difference between the two, because the difference in interest rates is very small, 0.5%. 

FC  = 12 - 5  = 7

triangle EFC  similar to triangle BDE

So we have that

EF / FC  = BD / DE

5 / 7  = BD / 5

BD =  25 /7   [ the same as guest's answer ]

Thank you so much!!

Area of  3 slices  of 12 in diameter  =  6 in radius pizza  =

(3/8) pi (6)^2    (1)

Area  of 3 slices of 16 in = 8 in radius pizza  =

(3/8) pi (8)^2     (2)

(2)  - (1)  =

(3/8) pi  [ 8^2 - 6^2 ] =

(3/8) pi [ 64 - 36 ] =

(3/8) pi [ 28]  =

(3 * 28 ) / 8  pi  =

[ 3 * 7 ) / 2  pi  =

(21/2) pi   in^2

Your answer is the same  !!!!

Monday: x watermelons

Tuesday: 2x watermelons

Wednesday: 1/2x

Thursday: 18

Friday: 4+2(x+2x)=2(3x)=6x+4

x+2x+1/2x+18+6x+4=60, 9 1/2x=38, 19/2x=38, x=38*2/19, x=2*2=4.

So, 6(4)+4=24+4=28 watermelons.

OK, I will give this a go!

In smaller triangle EFC:

Angle FCE =tan(EF /FC) =tan(FCE)=5/(12 - 5)=5/7

Angle FCE=arctan(5/7) =~35.54 degrees.

In the large triangle ABC:

Tan of angle ACB =5/7

5/7 =BA / AC

5/7 =BA / 12

BA =12 x 5/7 =8 4/7 units.

BA - DA =BD

8 4/7 - 5 =3 4/7 units.

The scale factor for the  top shaded triangle  is  1/4  of ABC

So..its  area  is  scale factor ^2  *  [ ABC]   =  (1/4)^2 * [ABC ]  =  [ ABC ] /16

For the top 1/2 of the figure....the scale factor  is 1/2  of ABC

So...its  area  =   (1/2)^2 [ ABC ]  =  [ ABC ]  / 4    =  (1)

For the top 3/4 of the figure....the scale factor is 3/4 of ABC

So ...its area  =  (3/4)^2 [ ABC ]  = [ABC] *(9/16)  =   (2)

So....the bottom shaded area  = (2) - (1)  =  [9/16 - 1/4] [ABC ] =

[5/16] [ ABC] 

So....the total of the shaded ares  =   [ ABC ] / 16  +  [5/16] [ABC ] =  

[ 6/16] [ ABC ]  =

[3/8] [ ABC]

Tell me if this is correct!

10 1/2 pi. Just tell me if it's correct, then I'll provide a solution.

Here's what I get, NSS

For a new car

P = 350

r = .0279/12

n = 72

A =  350 [ (1 + .0279/12)^72 - 1 ] / [(.0279/12) ( 1 + .0279/12)^72 ] ≈ $ 23,178.95

For a used car only  r is different....it is   (.0329/12)

So we have

 350 [ (1 + .0329/12)^72 - 1 ] / [(.0329/12) ( 1 + .0329/12)^72 ] ≈  $ 22,840.34

The time for the  stone to fall can be calculated by

0  = -4.9t^2  + 19.6

-19.6  = -4.9t^2

t^2 =  19.6 / 4.9  

t  =sqrt (19.6 / 4.9)  = 2 seconds

The boat must travel  27 - 3  =  24 m  in this time

So

D / T  = R

24 /2   = 12m/s        you are correct!!!!