Olga buys a 5-year increasing annuity for X. Olga will receive 2 at the end of the first month, 4 at the end of the second month, and for each month thereafter the payment increases by 2. The annual nominal interest rate is 9% convertible quarterly. CALCULATE X

Nominal interest rate is = 9% converible quaterly

we need to find monthy effective interest rate

0.09

i = 0.00744 or 0.75% approximately

i can also be taken as = 0.09/12

now PV of annuity will be the market price i.e x

6 60 *2 a

Multiply equation by \frac{1}{1+i} both sides

6 60 2 PV b

Subtract equation b from a

60 2 PV (1 1+i (1+2)1 (1+2)2 (1+2)3 (1+2)60 (1+961

60 2 PV( 1 +i

on putting i = 0.00744

PV = 2733.88 approximately

X = 2733.88

Step-by-step explanation:

answer: yes i agree that you should not put it on/p>

step-by-step explanation: the reason for this is that it wastes other peoples time and also make them fail as well and that is never good.

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180