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The sum of the coordinates is 18 + 7/2 = 43/2.

$ 243 (1-1/3)^5 = $ 32    after 5 days

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(3-5b)(3-5b)       expand it by multiplying

9 - 15b -15b + 25 b^2      simplify

25b^2 -30b + 9       Answer 'E'

There is? 

12C5 - 7C3 = 792 - 35 = 757.

salt in beginning = salt in final solution

.06 (8) = x (.04)    find 'x'  then subtract the original 8ml

Good!   'cause there was info missing in your Q !

We can pick 2 seniors and there are 5 seniors so 5 x 4 = 20 ways to pick seniors 

We can pick 1 freshman and there are 5 freshmen so 5 ways to pick freshman

We can pick 1 sophomore and there are 4 so 4 ways to pick sophomores. 

We can pick 1 junior and there are 6 so 6 ways to pick a junior

20 x 5 x 4 x 6 = 2400 different comittees

Nevermind, I got it!

The Answer is 11.

This is six calculations....3 for slopes between points and three for distances...I'll do ONE of each and you try the rest

points 2,3    and   4,4    slope = (y1-y2)/(x1-x2) = (3-4)/(2-4) = 1/2 

  distance    d² = (x1-x2)^2 + (y1-y2)2 = (2-4)^2 + (3-4)^2 = 4+1 = 5     d^2 =5   d = sqrt 5

Now you do the others   slope between points  2 and 3    and 3 and 1   and distances.....

Every year the account is increased by 1.08x

so 

we start with $6700 x (1.08)^24

1.08^24 =/  6.34

6700 x 6.34= 42485.91 dollars

As follows:

\(f(-1) - 1 =f(-1001) - 1001\\ 5 - 1= f(-1001)-1001\\f(-1001)=1005\)

IF compounded annually   6700(1+ .08)²⁴

If simple interest    6700 + 6700 (.08)* 24

Area of the two rectangles minus the area of overlap

6 * 7   + 6 * 8   - 5 * 5  = ........ ft²

\(2^{15}\times3^6\rightarrow (2^5)^3 \times(3^2)^3\rightarrow (2^5\times 3^2)^3\)

so \(x^{1/3}=2^5\times3^2\)

which I'll leave you to simplify.

\(\sqrt[3]{2^(15)* 3^6}\)   =  2^15/3 * 3^6/3  = 2⁵ * 3²

I used MathCad, but you could probably do the plot in Desmos (https://www.desmos.com/calculator).

Thanks for your answer Alan! Can I ask you what software are you using to plot the $f(t,n)$? Have a good day.

Correct.

Judging by the examples below, you are right and your lecturer is wrong!

This is just defining the operator *.

You replace a by x, b by 24 and the result by 7 so:

Like so:

I am not familiar with this notation.