Algebra

Hey!! I would SUPER appreciate it if you could help me with these! Thank you! :)
1. Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5.88 x 1012 miles. Suppose a star is 6.3 x 102 light-years from Earth. In scientific notation, approximately how many miles is it?

2. A dinosaur fossil is 128, 320,000 years old. How can you express this age in scientific notation with the highest level of precision?

3. Electromagnetic waves travel at a rate of 3 x 108 meters per second. How many seconds would it take for an electromagnetic wave to travel from a satellite to the surface of the Earth if the satellite is orbiting at a height of 2.9 x 109 meters? (Hint: Time is distance divided by rate)
4. Does the rule y=-5(7𝑥) represent an exponential function?
5. Suppose the number of expert gamers in California is 52,400 and is growing 20% each year. Predict the number of experts after 5 years.

6. Suppose the number of bacteria growing in a culture dish doubles every 6 hours. If the culture dish initially contains 250 bacteria, how many bacteria are in the dish after 18 hours.

7. The population of bacteria in your messy room is 36,725 and is growing at a rate of 11% each month. What would the population be after 6 months if you don’t clean your room?

8. The current popularity of the Kardashians is about 82,302 fans. Sadly, this is falling at a rate of 50% each year. How many fans will the Kardashians have in 4 years?
Equation:
Solution:

9. The number of active Snapchat users is about 23,000,000 people. This number is falling at a rate of 5% each month. How many Snapchat users will there be in one year?
Equation:
Solution:

10. You put $5,000 in an account that is compounded quarterly. The annual interest rate, r, is 4%. How much will be in the account after 10 years?
Equation:
Solution:

11. You just got a job and you want to start saving for a car. You put $1500 in a savings account that is compounded monthly. The annual interest rate is 8.5% How much money will you have saved in 3 years?
Equation:
Solution:

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  1. By "help" do you mean do your homework assignment for you? What are your answers? If you truly have no ideas on any of them, you have some serious studying to do.

    Just to start,
    #11. 1500(1 + .085/4)^(4*3) = _____

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