To pay off an insurance settlement you must make monthly payments of $2500 for 6 years. how much should you invest in an account paying 6% compounded monthly to be sure you can make these payments over this time period?

The principal which should be invested in account is $125,698.324

Step-by-step explanation:

Given as :

The monthly payment amount = $2500

The time period = 6 years = 6 × 12 = 72 months

So,  The payment for 72 months =  $2500 × 72  = $180,000

The rate of interest compounded monthly = 6%

The investment amount in account = P

Now, From compounded method

Amount = Principal ×

$180,000 = P ×

Or,  $180,000 = P ×

Or, $180,000 = P × 1.432

∴ P = = $125,698.324

Hence The principal which should be invested in account is $125,698.324 . Answer

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)