The Design Team just decided to save $1,500 a month for the next 5 years as a safety net for recessionary periods. The money will be set aside in a separate savings account which pays 4.5 percent interest compounded monthly. The first deposit will be made today. What would today's deposit amount have to be if the firm opted for one lump sum deposit today that would yield the same amount of savings as the monthly deposits after 5 years?

Lump sum required= $80,459.07

Explanation:

Giving the following information:

Monthly deposit= $1,500

Number of months= 5*12= 60

Monthly interest rate= 0.045/12= 0.00375

First, we need to calculate the final value of the monthly deposit. We will use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

FV= {1,500*[(1.00375^60)-1]}/ 0.00375

FV= $100,718.33

Now, we need to determine the lump sum required:

PV= FV/(1+i)^n

PV= 100,718.33/ (1.00375^60)

PV= $80,459.07

answer; break-even analysis;

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.