Activity:
Read the information below and do the three problems that follow. When done pu...
Mathematics, 18.04.2020 20:47, mahmudabiazp3ekot
Activity:
Read the information below and do the three problems that follow. When done put you answers in the drop box with a short explanation of how you did them.
Exponential Growth / Decay
Exponential Functions take the form:
y = abx. Where a = initial investment/payment (y – intercept)
b = rate of return or interest
x = term in cycles (minutes, days, months, etc)
When b > 1 then this is a growth function. When 0 < b < 1 then this is a decay function.
Growth function example
Decay function example
1. You start an account with $500 and an interest rate of 6% compounded yearly. How
much is in the account after 3 years?
a) Exponential growth or decay:
b) Identify the initial amount:
c) Identify the growth/decay factor:
d) Write an exponential function to model the situation:
e) “Do” the problem:
2. You start an account with $2500 and an interest rate of 6.5% compounded yearly. How
much is in the account after 7 years?
a) Exponential growth or decay:
b) Identify the initial amount:
c) Identify the growth/decay factor:
d) Write an exponential function to model the situation:
e) “Do” the problem:
Remember: a) Exponential growth or decay:
b) Identify the initial amount:
c) Identify the growth/decay factor:
d) Write an exponential function to model the situation:
e) “Do” the problem:
3. A newly hatched channel catfish typically weighs about 0.06 gram. During the first 6
weeks of life, its weight increases by about 10% each day. Write a function to model the
situation. How much does the catfish weigh after 6 weeks?
Answers: 2
Mathematics, 21.06.2019 13:00, Anikarenee
The measurement of one angle of a right triangle is 34°. what is the measurement of the third angle?
Answers: 1
Mathematics, 21.06.2019 20:30, destinyharris8502
I’m on question 7 it says a covered water tank is in the shape of a cylinder the tank has a 28 inch diameter and a height of 66 inches to the nearest square inch what is the surface area of the water tank
Answers: 2
Mathematics, 21.06.2019 21:30, ajm1132005
Questions 9-10. use the table of educational expenditures to answer the questions. k-12 education expenditures population indiana $9.97 billion 6.6 million illinois $28.54 billion 12.9 million kentucky $6.58 billion 4.4 million michigan $16.85 billion 9.9 million ohio $20.23 billion 11.6million 9. if the amount of k-12 education expenses in indiana were proportional to those in ohio, what would have been the expected value of k-12 expenditures in indiana? (give the answer in billions rounded to the nearest hundredth) 10. use the value of k-12 education expenditures in michigan as a proportion of the population in michigan to estimate what the value of k-12 education expenses would be in illinois. a) find the expected value of k-12 expenditures in illinois if illinois were proportional to michigan. (give the answer in billions rounded to the nearest hundredth) b) how does this compare to the actual value for k-12 expenditures in illinois? (lower, higher, same? )
Answers: 1
Mathematics, 09.04.2020 18:34
Mathematics, 09.04.2020 18:34
Mathematics, 09.04.2020 18:34
English, 09.04.2020 18:34
Mathematics, 09.04.2020 18:34