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Person A = M dollars
Person B =320 - M dollars

person A =0.8M
Person B =0.2M + 320 - M =320 - 0.8M

person B =0.8 * [320 - 0.8M] =256 - 0.64M
Person A =0.8M + 64 - 0.16M=0.64M + 64

[256 - 0.64M] / [0.64M + 64] =1.5, solve for M
M = $100 - initial amount of person A

The smallest integer is -1.

2^(x-1) plug in x

Yes, the gradient is 3   

Mmm.

The red tangent and the blue secant both have the same slope.

I will look at the blue secant.

a)   does it have a positive or a negative gradient?

It goes through the points (0,-2)  and  (1,1)

b)  What is the rise between these points?

c) what is the run?

d) So ...  What is the gradient?

Of course, you count the 0 line  :)

well 0 is the correct answer since the largest integer of the 4 is 0 

-6+ -4 + -2 + 0 is -12

think of it like 

x+ x+2 + x +4 + x + 6= -12

wait do we count the 0 as a line? if so it would be  3?

4x = 78 + 14

wouldnt it be B for 3 ? since the slope is 1/1 which is 1

reduction of 40%   means 60%  remains

60% x = 36

.6x = 36    solve for x

x^2+16x+y^2-4y+16=0        put in standard form     (x-h)^2 + (y-k)^2 = r ^2

                                                    by completing the squre for x any

(x+8)^2  + ( y-2)^2 = -16 +64 + 4        r^2 = 52

You think maybe 3. Let's look at that one.

How do you find the slope of a line? 

Try to imagine that only one of the lines is on the graph and the green curve is also not there, that might make it easier for you to see the answer.

If it is too confusing to imagine then draw it on a bit of paper.  

x = -12      Use that to calc GE

.08(14)    = 1.12

.07 (x) = 1.12

x = final amount = 16           final amount - origianl amount = 2 ml of water to add

The sum fo the areas is 735.

im very confused, im sorry

$\text{I need help too asap}$

There are no given sentences.

Note that $\frac{dy}{dx}(log_a x)=\frac{1}{x\ln a}$. So $\frac{dy}{dr}(log_2 r * log_4 r)=\frac{dy}{dr}(log_2 r)*\frac{dy}{dr}(log_4 r)=\frac{1}{r\ln 2}*\frac{1}{r\ln 4}=\frac{1}{r^2\ln 2\ln 4}$

First, she gets it on sale, so $y-0.15y=0.85y$. Then, take that 0.85y and multiply it by 1.05 (to add the sales tax). So the result is $(0.85y)(1.05)=0.8925y$.

$a+b=82, a=4b-3\rightarrow 4b-3+b=82\rightarrow 5b-3=82\rightarrow 5b=85\rightarrow \boxed{b=17}\rightarrow \boxed{a=4*17-3=65}$

Solution here: https://artofproblemsolving.com/community/c3h2267357_help_on_percents

Hopefully this helps.

https://imgur.com/7l9GAtE

You could let $f(x)=ax^2+bx+c$ and solve the system, but that is messy. Alternatively, we can plot the points. This shows us that the vertex of the parabola is simply (3,2)! So our graph is shifted three to the right, and 2 up. This means that $f(x)=(x-3)^2+2=x^2-6x+11$. 

Graph --> https://www.desmos.com/calculator/xvkbk8bhpl

i am unsure, maybe 3?