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Laabri

12/9/2022-HW Exponential Applications

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Last updated about 3 years ago
28 Nsɛmmisa
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FOR REFERENCE PURPOSES:

Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Sophie invested $5,000 into an account that will increase in value by 2.3% each year.

This function will be an example of:

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Sophie invested $5,000 into an account that will increase in value by 2.3% each year.

Write a function to model this situation.

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Sophie invested $5,000 into an account that will increase in value by 2.3% each year.

Find the value of the investment after 15 years.

(give your answer in dollars and cents...like $2345.67..rounded to the nearest hundreths)

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

Sophie invested $5,000 into an account that will increase in value by 2.3% each year.

How many years will it take for Sophie's investment to grow to $8,245.82?

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

Miles invested $2,400 into a retirement account that earns 1.8% interest compounded bimonthly (2x per month).

This function will be an example of:

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

Miles invested $2,400 into a retirement account that earns 1.8% interest compounded bimonthly (2x per month).

Write a function to model this situation.

(for n, remember it's the number of times per year...2x per month and 12 months in a year)

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

Miles invested $2,400 into a retirement account that earns 1.8% interest compounded bimonthly (2x per month).

Find the balance in the account after 25 years.

(give your answer in dollars and cents...like $2345.67..rounded to the nearest hundreths)

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

Miles invested $2,400 into a retirement account that earns 1.8% interest compounded bimonthly (2x per month).

How many years will it take for the account to reach $5,202.70?

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

The mass of certain compound decays at a rate of 5% per year. The original mass of this compound is 68g.

This function will be an example of:

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

The mass of certain compound decays at a rate of 5% per year. The original mass of this compound is 68g.

Write a function to model this situation.

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

The mass of certain compound decays at a rate of 5% per year. The original mass of this compound is 68g.

What is the mass of the compound after 7 years? (round to the tenths place)

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

The mass of certain compound decays at a rate of 5% per year. The original mass of this compound is 68g.

How many years will it take for the mass to be 20.9g?

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

Sarah took out a $30,000 loan at a 4% interest rate to put a new pool in her backyard. The interest is compounded quarterly.

This function will be an example of:

Asemmisa {{asɛmmisaAhyɛnsode}}
14.

Sarah took out a $30,000 loan at a 4% interest rate to put a new pool in her backyard. The interest is compounded quarterly.

Write a function to model this situation

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

Sarah took out a $30,000 loan at a 4% interest rate to put a new pool in her backyard. The interest is compounded quarterly.

After 12 years of paying on the loan, what is the total loan amount after 12 years?

(give your answer in dollars and cents...like $2345.67..rounded to the nearest hundreths)

Asemmisa {{asɛmmisaAhyɛnsode}}
16.

Sarah took out a $30,000 loan at a 4% interest rate to put a new pool in her backyard. The interest is compounded quarterly.

How long will it take to reach a total loan amount of $84,439.20?

Asemmisa {{asɛmmisaAhyɛnsode}}
17.

Condense the expression:

Asemmisa {{asɛmmisaAhyɛnsode}}
18.

Expand the expression:

Asemmisa {{asɛmmisaAhyɛnsode}}
19.

Solve:

(condense until you have log=log..then solve. Remember to check for extraneous solutions)

Asemmisa {{asɛmmisaAhyɛnsode}}
20.

Solve:

Convert to log, expand if necessary, use change of base and solve for x (use x= in your answer).

Give your answer with 4 places beyond the decimal.

Asemmisa {{asɛmmisaAhyɛnsode}}
21.

What type of graph is shown?--think about what type of asymptote will occur here..vertical or horizontal?

Asemmisa {{asɛmmisaAhyɛnsode}}
22.

What type of graph is shown?--think about what type of asymptote will occur here..vertical or horizontal?

Asemmisa {{asɛmmisaAhyɛnsode}}
23.

What type of graph is shown?

Asemmisa {{asɛmmisaAhyɛnsode}}
24.

What type of graph is shown?

Asemmisa {{asɛmmisaAhyɛnsode}}
25.

upload your pages of work here--page 1

Asemmisa {{asɛmmisaAhyɛnsode}}
26.

upload your pages of work here--page 2

Asemmisa {{asɛmmisaAhyɛnsode}}
27.

upload your pages of work here--page 3

Asemmisa {{asɛmmisaAhyɛnsode}}
28.

upload your pages of work here--page 4