Imagine you win $10,000 in a state competition and decide to invest your prize. Choose three investment options from the lesson for your money. Describe your investment plan in a detailed paragraph. Be sure to include responses to the following questions: Why did you choose these three options? How may taxes, fees, and inflation affect your investments? How do your choices reflect your tolerance for risk? How do you plan to divide your money between the three investment options you chose? Be sure to include the following terms in your explanation:; diversification : risk :rate of return interest rate

x> 6

step-by-step explanation:

8x+8> 7x+14

8x-7x> 14-8

x> 6

a = 3.14

b = 18

c = 18/5 or 3.6 or 3 3/5

step-by-step explanation:

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough