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Applications of Exponential Functions

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Practice: Applications of Exponential Functions

The half-life of a certain radioactive substance is modeled by the function A(t)=5.63(0.5)t9.5A(t)=5.63(0.5)^{\frac{t}{9.5}}, where there is initially 5.63 grams of the substance, the half-life is 9.5 months, and A(t)A(t) is the amount of the substance after tt weeks.

How much of the substance is there after 32 weeks? Use the fact that there is 4.34.3 weeks in a month.
More Applications of Exponential Functions Questions:
Applications of Exponential Functions
A population of insects increases 6-fold every 3 days. How many species will there be in 10 days if the initial population was 500?
Applications of Exponential Functions
Practice: Applications of Exponential Functions
Marcel has $10000 saved and he wants to invest his money into a low-risk mutual fund. He has two options to choose from:
Invest $10000 at 1.4% compounded bi-weekly or;
Applications of Exponential Functions
Practice: Applications of Exponential Functions
The value of an antique appreciates roughly 3.2% annually. Maggie buys her antique for $5400 and plans on selling it again in 20 years. How much will Maggie profit off her antique?
Applications of Exponential Functions
Practice: Applications of Exponential Functions
The size of a certain species increases four-fold every 17 days. If the size of the population grew to 35 after 8 days, what was the initial population size?
Applications of Exponential Functions
Practice: Applications of Exponential Functions
The size of a certain species increases nine-fold every 6 days. If the size of the population grew to 400,500 after 10 days, what was the initial population size?
Applications of Exponential Functions
Practice: Applications of Exponential Functions
The half-life of a certain radioactive substance is modelled by the function A(t)=4.7(0.5)t3.4A(t)=4.7(0.5)^{\frac{t}{3.4}}, where there is initially 4.7 micrograms of the substance, the half-life is 3.4 weeks, and A(t)A(t) is the amount of the substance after tt weeks.
How much of the substance is there after 2 months? Use the fact that there is 4.34.3 weeks in a month.
More Applications of Exponential Functions (Growth & Decay) Questions:
Applications of Exponential Functions
A population of insects increases 6-fold every 3 days. How many species will there be in 10 days if the initial population was 500?
Applications of Exponential Functions
Practice: Applications of Exponential Functions
Marcel has $10000 saved and he wants to invest his money into a low-risk mutual fund. He has two options to choose from:
Invest $10000 at 1.4% compounded bi-weekly or;
Applications of Exponential Functions
Practice: Applications of Exponential Functions
The value of an antique appreciates roughly 3.2% annually. Maggie buys her antique for $5400 and plans on selling it again in 20 years. How much will Maggie profit off her antique?
Applications of Exponential Functions
Practice: Applications of Exponential Functions
The size of a certain species increases four-fold every 17 days. If the size of the population grew to 35 after 8 days, what was the initial population size?
Applications of Exponential Functions
Practice: Applications of Exponential Functions
The size of a certain species increases nine-fold every 6 days. If the size of the population grew to 400,500 after 10 days, what was the initial population size?
Applications of Exponential Functions
Practice: Applications of Exponential Functions
The half-life of a certain radioactive substance is modelled by the function A(t)=4.7(0.5)t3.4A(t)=4.7(0.5)^{\frac{t}{3.4}}, where there is initially 4.7 micrograms of the substance, the half-life is 3.4 weeks, and A(t)A(t) is the amount of the substance after tt weeks.
How much of the substance is there after 2 months? Use the fact that there is 4.34.3 weeks in a month.
More Applications of Exponential Functions (Growth & Decay) Questions:
Applications of Exponential Functions
A population of insects increases 6-fold every 3 days. How many species will there be in 10 days if the initial population was 500?
Applications of Exponential Functions
Practice: Applications of Exponential Functions
Marcel has $10000 saved and he wants to invest his money into a low-risk mutual fund. He has two options to choose from:
Invest $10000 at 1.4% compounded bi-weekly or;
Applications of Exponential Functions
Practice: Applications of Exponential Functions
The value of an antique appreciates roughly 3.2% annually. Maggie buys her antique for $5400 and plans on selling it again in 20 years. How much will Maggie profit off her antique?
Applications of Exponential Functions
Practice: Applications of Exponential Functions
The size of a certain species increases four-fold every 17 days. If the size of the population grew to 35 after 8 days, what was the initial population size?
Applications of Exponential Functions
Practice: Applications of Exponential Functions
The size of a certain species increases nine-fold every 6 days. If the size of the population grew to 400,500 after 10 days, what was the initial population size?
Applications of Exponential Functions
Practice: Applications of Exponential Functions
The half-life of a certain radioactive substance is modelled by the function A(t)=4.7(0.5)t3.4A(t)=4.7(0.5)^{\frac{t}{3.4}}, where there is initially 4.7 micrograms of the substance, the half-life is 3.4 weeks, and A(t)A(t) is the amount of the substance after tt weeks.
How much of the substance is there after 2 months? Use the fact that there is 4.34.3 weeks in a month.
More Applications of Exponential Functions (Growth & Decay) Questions:
Applications of Exponential Functions
A population of insects increases 6-fold every 3 days. How many species will there be in 10 days if the initial population was 500?
Applications of Exponential Functions
Practice: Applications of Exponential Functions
Marcel has $10000 saved and he wants to invest his money into a low-risk mutual fund. He has two options to choose from:
Invest $10000 at 1.4% compounded bi-weekly or;
Applications of Exponential Functions
Practice: Applications of Exponential Functions
The value of an antique appreciates roughly 3.2% annually. Maggie buys her antique for $5400 and plans on selling it again in 20 years. How much will Maggie profit off her antique?
Applications of Exponential Functions
Practice: Applications of Exponential Functions
The size of a certain species increases four-fold every 17 days. If the size of the population grew to 35 after 8 days, what was the initial population size?
Applications of Exponential Functions
Practice: Applications of Exponential Functions
The size of a certain species increases nine-fold every 6 days. If the size of the population grew to 400,500 after 10 days, what was the initial population size?
Applications of Exponential Functions
Practice: Applications of Exponential Functions
The half-life of a certain radioactive substance is modelled by the function A(t)=4.7(0.5)t3.4A(t)=4.7(0.5)^{\frac{t}{3.4}}, where there is initially 4.7 micrograms of the substance, the half-life is 3.4 weeks, and A(t)A(t) is the amount of the substance after tt weeks.
How much of the substance is there after 2 months? Use the fact that there is 4.34.3 weeks in a month.