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120: Present/Future Value

Last updated almost 5 years ago
20 questions

Bell

1

A new car is purchased for 21100 dollars. The value of the car depreciates at 10.5% per year.

Write the exponential function.

1

Use your answer to [1].
What will the value of the car be, to the nearest cent, after 6 years?

L7-2: Compound Interest

from yesterday:
  • basic exponential: y=a(b)^x
  • annual growth: y=a(1+r)^x
new:
  • compound interest: y=a(1+\frac{r}{n})^{nt}
*note: many financial instituions use A=P(1+\frac{r}{n})^{nt}
  • continuous interest: y=a(e)^{rt}
*note: many financial instituions use A=Pe^{rt}
*note2: e\approx2.72 you can find it on your calculator
1

What is a? (or P)?

1

What is r?

1

What is t?

1

What is n?

1

Give at least three componding times, and the values that n could equal.

1

Zoe invested $16,000 in an account paying an interest rate of 3.6% compounded quarterly.

What is the equation?

1

Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 20 years?

1

Brody invested $220 in an account paying an interest rate of 3.6% compounded annually.

What is the equation?

1

Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 17 years?

1

Samuel invested $53,000 in an account paying an interest rate of 6.7% compounded continuously.

What is the equation?

1

Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 17 years?

1

Brianna is going to invest in an account paying an interest rate of 5.2% compounded monthly. How much would Brianna need to invest, to the nearest ten dollars, for the value of the account to reach $6,600 in 11 years?

What are you looking for in this question?

1

Write the equation for [13], the only variable to remain should be the one for what we are looking for.

1

Which would give you the correct solution? [on a graphing/scientific calcluator with mathprint - exponents look like exponents]

1

Which would give you the correct solution? [on the Desmos scientific calcluator]

1

Parker is going to invest in an account paying an interest rate of 3.1% compounded daily. How much would Parker need to invest, to the nearest dollar, for the value of the account to reach $4,000 in 8 years?

What is your equation?

1

What is the amount?

0

Choose all that are true

You can now finish a total of 5 sections of DeltaMath.