Jack and jill have just had their first child. if they expect that college will cost $150,000 per year in 18 years, how much should the couple begin depositing annually at the end of each of the next 18 years to accumulate enough funds to pay 1 year of tuition 18 years from now? assume they can earn a 6% annual rate of return on their investment.

Annual deposit= $5,824.17

Explanation:

Giving the following information:

College will cost $150,000 per year in 18 years. The annual rate is 6%.

We need to calculate the annual deposit to pay for one year of college.

We need to use the following formula:

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

A= annual deposit

Isolating A:

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

A= (180,000*0.06)/{[(1+0.06)^18]-1}= $5,824.17

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.