4
a person wants to have rs.2 lac annually for 20
years by investing the amount in an annuity
interest rate of 5%. he will have to invest:
a. rs.24 lac
b. rs.2492440
c. rs.2429000
d. rs.25 lac

The Present value of investment is Rs 2492442  , option B

Step-by-step explanation:

Given as :

The future value of investment after 20 years = f = Rs 200000

The Time period = n =20 years

The rate of interest applied = r = 5% = .05

Let The present value of investment = P

Now, From Equation

Present value = Future value × [ ]

or, P = f × [ ]

Or, P = Rs 200000 × [ ]

Or, P = Rs 200000 ×

Or, P = Rs 200000 ×

Or, P = Rs 200000 × 12.46221036

Or, P = Rs 2492442.072

So, The present value = P = Rs 2492442

Hence, The Present value of investment is Rs 2492442  , option B . Answer

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

step-by-step explanation: