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Andru [333]
2 years ago
12

Francine currently has $45,000 in her 401k account at work, and plans to contribute $8,000 each year for the next 15 years. How

much will she have in the account in 15 years, if the account averages a 4% annual return?
I'm suppose to use a savings annuity formula. Any help would be appreciated!
Mathematics
1 answer:
earnstyle [38]2 years ago
8 0

Answer:

Here is the formula:

Step-by-step explanation:

FV= future value of the annuity · PMT= amount of the periodic payment · r= annual interest rate written in decimal form · m=number of compounding

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Since the centrifugal force on the passenger, F varies jointly as the mass of the passenger, m and the square of the speed of the car,v. In mathematical notation, F ∝ mv² ⇒ F = kmv².

If F₁ = 226.8 Newtons, m₁ = 70 kilograms and speed v₁ = 60 kilometers per hour. From F= kmv², k = F/mv² the proportionality constant. If F₂ is the force on the passenger of mass m₂ = 90 kilograms and speed of car ,v₂ = 40 kilometers per hour. Then,

k = \frac{F_{1} }{m_{1}v_{1} ^{2}  } = \frac{F_{2} }{m_{2}v_{2} ^{2}  }\\ F_{2} = F_{1} \frac{m_{2} }{m_{1} }(\frac{v_{2} }{v_{1} }) ^{2}    \\F_{2} =  226.8\frac{90 }{70 }(\frac{40 }{60 }) ^{2}\\F_{2} = 129.6 newtons

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