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

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

is means division by fractions

step-by-step explanation: