In the exponential function given below, identify the initial amount and the growth rate.
y = 250(1 + 0.2)t
What is Initial amount: 250
Growth rate: 0.2
100
What is decay?
What is the change that occurs when an original amount is reduced by a consistent rate over a period of time
100
The population of Chicago starts off at 20,000, and grows by 13% each year. Write an exponential growth model and find the population after 10 years
What is y = 20,000(1.13)^10
100
What is the compound interest formula?
What is A=P(1+r/n)^nt
100
Does the equation y = 11(1.11)^t model exponential growth or exponential decay?
-Find the growth or decay factor and the percent change per time period.
What is The growth rate is: 0.11
The percent of increase is 11%
200
The prize for a radio station contest begins with a $100 girftcard. Once a day a name is announced. The person has 15 minutes to call or the prize increases by 3% for the next day.
-Give the answer that represents the amount of the giftcard in dollars, after 10 days with no winners.
What is $134
200
A fully inflated child's raft for a pool is losing 6% of its air everyday. The raft originally contained 4,500 inches of air.
-Write an equation to represent the loss of air.
What is y = 4500 (.96)^t
200
What does r & A mean in the compount interest formula?
What is r=annual interest rate (decimal)
A= current amount/end amount
200
William wants to have a total of $4000 in two years so that he can put a hot tub on his deck. He finds an account that pays 5% interest compounded monthly. How much should William put into this account so that he'll have $4000 at the end of two years?
What is $3620.10
200
If this is your shown equation 100 = a(1 - .12)^10, then what is y?
What is y=100
300
Write an exponential growth function to show the situation.
A population of 422,000 increases by 12% each year.
What is y = 422,000(1 + 0.12)^t
300
A car bought for $13,000 decreases at 12% per year. What is its value after 7 years?
What is $5312.78
300
What does the "n" represent in the compound interest formula?
What is the number of times interest is compounded per year?
300
Sarah's parents invested in $14,000 at 6% per year compounded monthly. How much money will there be in the account after 10 years?
What is 25,471.55
300
You deposit $120 in a savings account that increases exponentially by 6% each year. How long does it take for you to have $170?
What is 2.35 years?
400
An initial population of 750 endangered turtles triples each year for 5 years. Find the population after 5 years.
What is 182,250
400
Each year the local country club sponsors a tennis tournament. Play starts with 128 participants. During each round, half of the players are eliminated. How many players remain after 5 rounds?
What is 4
400
Suppose that when your friend was born, your friend's parents depoisted $2000 in an account paying 4.5% interest compounded quarterly. What will the account balance be after 18 years?
What is $4,475.53
400
What is P?
What is the principal or initial amount.
400
In 1985, there were 285 cell phone subscribers in a small town. The number of subscribers increased by 75% per year after 1985. How many cell phone subscribers were in the town in 1994?
What is 43,871
500
In the exponential function given below, identify the initial amount and the growth rate.
y = 9.8(1.35)^t
What is The growth rate is: 0.35
The initial amount is: 9.8
500
If you buy a new truck for $28,700 where the value
decreases continously at 11% per year, how much will the truck be
worth in 7 years? Round to the nearest dollar.
What is $12,694
500
In mediaeval times there were 10,000 people living in a city that was struck by a plague due to that people began to die at an exponential rate of 32% per year. How long before the population is 3000?
What is 3.12 years?
500
Suppose that you plan to need $10,000 in thirty-six months' time when your child starts attending university. You want to invest in an instrument yielding 3.5% interest, compounded monthly. How much should you invest?
What is you need to invest about $9004.62
500
An amount of $1,500.00 is deposited in a bank paying an annual interest rate of 4.3%, compounded quarterly. What is the balance after 6 years?