# Tutor profile: Courtney B.

## Questions

### Subject: SAT

Courtney starts with $10,000 in her bank account on January 1, 2018. The amount in her bank account went up by 10% in 2018. But during 2019 so far, her account has lost 5%. How much money is currently in Courtney's account?

To find how much money Courtney's account increased by, we need to change the percent to a decimal and multiply to find 10% of $1,000. 10000 x .10 = 1000 We find that 10% of $10,000 is $1,000. So Courtney ended 2018 with $11,000 in her bank account. So far for the year 2019, Courtney has lost 5% in her account. Now we need to multiply $11,000 by .05 to find how much money has been money. 11000 x .05 = 550 So, 5% of $11,000 is $550. To find how much is left in Courtney's account, we must subtract $550 from $11,000. $11,000 - $550 = $10,450 Courtney has $10,450 in her bank account.

### Subject: Earth Science

Fossils are the preserved remains of organisms that lived long ago. According to the law of superposition, the rock layers that contain fossils should be far below Earth’s surface. Which answer best explains why fossils are sometimes found at or near the surface?

Some rock layers with fossils have been exposed because of different processes, such as faulting, folding, and weathering.

### Subject: ACT

A typical high school student studies 2 hours for each test. As part of a new education plan, each student plans to study 10% more of the 2 hours for the coming year. Assuming each student studied at the level of a typical high school student and will adhere to this plan for the coming year, how much more time will 8 students spend study for each test in the coming year?

First, we'll need to change the hours to minutes to make the question simpler to us. We know there are 60 minutes in an hour, so 12o minutes in two hours. If the student is going to study 10% longer this year, we'll need to find what 10% of two hours is. By doing basic math we know that 10% of 60 is 6. So, for each hour the student is studying an additional 6 minutes. Since the student studies for two hours, we'll need to times the 6 by 2. We find that 10% of additional time studying equates to 12 minutes. Another way to find this would be to change the percent to a decimal and multiply 120 by .10. The last part of the question asks us to find how much more time 8 students will spend studying for a test in the coming year. If we know that one student will increase their studying time by 12 minutes, then we must multiply that number by 8. 12 minutes per student x 8 students = 96 minutes. In total, the 8 students will study for an additional 96minutes, or 1 hour and 36 minutes for each test in the coming year.

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