an amount A is initially 8. To find next week's amount, we multiply this week's amount by 4. Find a formula that gives the amount A after T weeks

Given:

Initial amount = 8

To find next week's amount, we multiply this week's amount by 4.

To find:

A formula that gives the amount A after T weeks.

Solution:

We have,

Initial amount = 8

According to the question,

Amount of next week = 4 × Amount of this week

Amount after one week is

Amount after two week is

Amount after T week is

Therefore, the required formula that gives the amount A after T weeks is .

a = 11 : 4

b = 38

c = 1 for every 6

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3