By using the annuity approach, calculate the capital needed at retirement (age 67) for the Williamses. Assume a 9% after-tax rate of return. Base the calculation on Michael’s salary only. Based on the text: He earns $170,000 per year. He is expecting no social security, and would like to have a standard of living at 70% of his preretirement income. He is currently 35 and wants to retire at 67, and expects to live to 92, meaning retirement will last 25 years. He is expecting a 9% rate of return, with inflation at 3%.

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.