When Jack turned 21, he decided to start investing $200 a month every year for nine years. At age 30, he decided to stop investing altogether. Blake started a little later, investing $200 a month every month starting at age 30, all the way until the ripe old age of 67.
Assuming that they were both amazing at investing and made 11% interest per year, how much money will they both have at age 67?
Also, what surprised you about this? What was important about this question?

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

the answer is 5/14.

hope this .

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²

d will be the best answer