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?

r = the rate

y = the final amount (A)

a = the starting amound aka the principle (P)

t = time

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]

6600/(1+.052/12)^12*11

6600/(1+\frac{0.52}{12})^{12*11}

6600/1+.052/12^12*11

1

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

\frac{6600}{(1+\frac{0.52}{12})^{12}*11}

\frac{6600}{1+\frac{0.52}{12}^{(12*11)}}

\frac{6600}{(1+\frac{0.52}{12})^{(12*11)}}

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

I am confident in this lesson.

I would like some assistance.

I can state the determine the value for n.

I can solve for present value.

I can solve for future value.

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

120: Present/Future Value

Bell

120: Present/Future Value

Bell

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

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

L7-2: Compound Interest

What is a? (or P)?

What is r?

What is t?

What is n?

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

Zoe invested $16,000 in an account paying an interest rate of 3.6% compounded quarterly.What is the equation?

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

Brody invested $220 in an account paying an interest rate of 3.6% compounded annually. What is the equation?

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

Samuel invested $53,000 in an account paying an interest rate of 6.7% compounded continuously. What is the equation?

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

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?

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

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

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

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?

What is the amount?

Choose all that are true

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

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

L7-2: Compound Interest

What is a? (or P)?

What is r?

What is t?

What is n?

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

Zoe invested $16,000 in an account paying an interest rate of 3.6% compounded quarterly.What is the equation?

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

Brody invested $220 in an account paying an interest rate of 3.6% compounded annually. What is the equation?

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

Samuel invested $53,000 in an account paying an interest rate of 6.7% compounded continuously. What is the equation?

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

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?

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

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

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

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?

What is the amount?

Choose all that are true

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

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

Zoe invested $16,000 in an account paying an interest rate of 3.6% compounded quarterly.
What is the equation?

Brody invested $220 in an account paying an interest rate of 3.6% compounded annually.
What is the equation?

Samuel invested $53,000 in an account paying an interest rate of 6.7% compounded continuously.
What is the equation?

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?

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?

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

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

Zoe invested $16,000 in an account paying an interest rate of 3.6% compounded quarterly.
What is the equation?

Brody invested $220 in an account paying an interest rate of 3.6% compounded annually.
What is the equation?

Samuel invested $53,000 in an account paying an interest rate of 6.7% compounded continuously.
What is the equation?

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?

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?