A woman plans to work for 25 years and to make deposits into a retirement fund at the amount of 100 at the end of each month. The fund earns 6% nominal, converted monthly. The fund will be used to purchase a 20-year annuity immediate at retirement, with the first payment in a month after retirement. Assuming the annuity is purchased at 5% nominal converted monthly, what is the amount of her monthly end-of-month payments during her retirement?

The answer is $457.35

Explanation:

FV= P * ([1 + I]^N - 1 )/I.

FV=100 * ([1 + 0.06/12]^(12*25 - 1 )/0.06/12=$69299.40

PV of an Annuity = C x [ (1 – (1+i)^-n) / i ]

$69299.40= C x [ (1 – (1+0.05/12^-12^*20) / 0.05/12 ]= $457.35

its ii) i did this test

explanation:

among other factors, composers started writing dynamic markings in their scores because "new instruments allowed for more dynamic ranges and contrast."

dynamics allude to the loudness or softness of music. dynamics offer an approach to demonstrate articulation in sheet music. they to drive the enthusiastic substance of music through volume and force. maybe you could alter both the volume and the shading profundity on your screen at the same time. we can likewise think about the force side of elements as the quality of a note. a few notes are intended to be played delicately and gently, while others are intended to be played all the more firmly.  

some dynamics markings have a letter 'm,' which remains for mezzo, signifying 'medium.' so a mezzo piano unique stamping resembles this (mp) and intends to play medium calm, while a mezzo specialty dynamic resembles this (mf) and intends to play medium loud.