Exponents Review by Jeremy Oliver

Growth/Decay

joliver116_1 — 2017-10-30 13:53:27 UTC

Write an exponential equation for the amount of money in a savings account that promises to triple your money in 20 years.

Properties

joliver116_1 — 2017-10-30 13:55:24 UTC

Simplify.

Growth/Decay

joliver116_1 — 2017-10-30 14:18:20 UTC

A radioactive isotope is decaying such that 1/5 of the initial amount will remain after 17 years. What percentage of the initial amount remains after 3 years?

Equations

joliver116_1 — 2017-10-30 14:22:59 UTC

Solve:

Properties

joliver116_1 — 2017-10-30 14:23:40 UTC

Write down as many rules of exponents as you can remember.

Properties

joliver116_1 — 2017-10-30 14:47:48 UTC

Rewrite each expression using a single radical sign and positive integer exponents.

Properties

joliver116_1 — 2017-10-30 14:50:09 UTC

Rewrite each expression using positive rational exponents.

Properties

joliver116_1 — 2017-10-30 14:57:16 UTC

Simplify.

Question

joliver116_1 — 2017-10-30 14:59:26 UTC

When do we use A(t) = A₀ • b^(t/k)vs. A(t) = A₀ (1±r)^t?

Growth/Decay

joliver116_1 — 2017-10-30 15:11:40 UTC

The number of people in Wakanda has been growing at a rate of 2.3%. If the population today is 6 million, estimate the population in 15 years.

Growth/Decay

joliver116_1 — 2017-10-30 15:12:54 UTC

Write a scenario that would use the equation Population(t)=100(.98)^t

Growth/Decay

joliver116_1 — 2017-10-30 15:14:37 UTC

Given the half-life of adamantium is 1150 years. How long would it take for the 100 grams of the substance to turn into 12.5 grams of the substance?

Compound Interest

joliver116_1 — 2017-10-30 15:18:02 UTC

Plan A: A 8% annual rate compounded monthly over a five year period.

Plan B: A 7.8% annual rate compounded continuously over a five year period.

With which plan would an investor earn more money? How much more money would she earn?

Compound Interest

joliver116_1 — 2017-10-30 15:20:00 UTC

What is the greatest amount of money from an investment of $500 over 4 years that could be earned from an annual rate of 6%?

Growth/Decay

joliver116_1 — 2017-10-30 15:21:31 UTC

A population of ants rapidly multiplies so that the population after t days from now is given by the equation P(t)=2000e^(0.08)tHow many ants are there now?

How many will there be after a week?

What is the annual rate of growth?

Growth/Decay

joliver116_1 — 2017-10-30 15:25:05 UTC

A certain species of fish has a population that quadruples every 10 years. Find the annual rate of increase of this population.

Chart

joliver116_1 — 2017-10-30 15:26:59 UTC

a. Estimate the half life of the material. Explain your answer.

b. Write an equation for the amount of material left after t days.

c. Calculate how much material remains after 41 days.

Chart

joliver116_1 — 2017-10-30 15:29:10 UTC

Given that the table below represents exponential growth, fill in the empty cells.

Directions & Links

joliver116_1 — 2017-10-30 18:14:44 UTC

ALWAYS GIVE UNITS WITH YOUR ANSWERS TO WORD PROBLEMS.

If you prefer a printout worksheet version, here is a link to the Google doc. Here are the solutions. And here is the Jeopardy link for extra practice.

If you can complete this padlet, you can ace this test.

And remember: Banks don't round up.

Question

joliver116_1 — 2017-10-30 19:04:38 UTC

What is "effective annual yield?"

2017-10-30 19:32:42 UTC

Am I supposed to write here? Anyways... I don’t understand in what instances we are supposed to use “e”

Help me plz

2017-10-31 01:41:09 UTC

Send Help please anyone? I can’t get these two down... <3

Question

mmusto19 — 2017-11-01 01:00:21 UTC

how do you find the annual rate of growth?