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U2D2 Compounding e Jan24

Last updated about 1 year ago

16 Nsɛmmisa

Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

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Akwankyerɛ

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1

1

1

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1

1

1

1

1

1

1

1

Asemmisa {{asɛmmisaAhyɛnsode}}

1.

Asemmisa {{asɛmmisaAhyɛnsode}}

2.

Asemmisa {{asɛmmisaAhyɛnsode}}

3.

After 1 year, how does the amount of money in problem 2 compare to that of problem 1? What caused the difference in amounts?

Asemmisa {{asɛmmisaAhyɛnsode}}

4.

To get a sense of what is happening, let’s simplify the situation to consider $1 invested at 100% per year for 1 year.

Asemmisa {{asɛmmisaAhyɛnsode}}

5.

Asemmisa {{asɛmmisaAhyɛnsode}}

6.

Identify the graph of (use desmos)

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Asemmisa {{asɛmmisaAhyɛnsode}}

7.

Identify the graph of (use desmos)

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null

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null

Asemmisa {{asɛmmisaAhyɛnsode}}

8.

Tell whether the function represents exponential growth or exponential decay.
Try graphing this. What does the graph do?

exponential growth

exponential decay

Asemmisa {{asɛmmisaAhyɛnsode}}

9.

Tell whether the function represents exponential growth or exponential decay.

exponential growth

exponential decay

You want to invest $2500 in an account to save for college. Account 1 pays 6% annual interest compounded quarterly. Account 2 pays 4% annual interest compounded continuously. Which account should you choose to obtain the greater amount in 10 years?

Compounded Quarterly (n = 4)

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Compounded Continuously

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1

Asemmisa {{asɛmmisaAhyɛnsode}}

10.

1

Asemmisa {{asɛmmisaAhyɛnsode}}

11.

1

Asemmisa {{asɛmmisaAhyɛnsode}}

12.

Which account should you choose to obtain the greater amount in 10 years?

Account 1

Account 2

Asemmisa {{asɛmmisaAhyɛnsode}}

13.

Identify the graph of (use desmos)

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null

null

null

Asemmisa {{asɛmmisaAhyɛnsode}}

14.

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1

Asemmisa {{asɛmmisaAhyɛnsode}}

15.

represent

exponential growth

exponential decay

1

Asemmisa {{asɛmmisaAhyɛnsode}}

16.

Identify the graph of the function.

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