TutorMe homepage

SIGN IN

Start Free Trial

Kelsey A.

Tutor for Student-Athletes for 3 years

Tutor Satisfaction Guarantee

Pre-Calculus

TutorMe

Question:

Suppose you decide to invest in a new account that offers continuously compounding interest. You decide to invest $50 for a period of 3 years with an interest rate of 7%. The bank tells you that you can calculate how much will be in your account at the end of the 3 years by calculating the composition of two formulas (f o g)(3), where f(t) = 50e^(t) and g(t) = t * .07. How much money do you have in the account after 3 years? Round to two decimal places.

Kelsey A.

Answer:

The composition of two formulas means that (f o g)(3) = f(g(3)). First, let's find g(3) by plugging t=3 into g(t): g(3) = 3 * .07 = .21. Next, let's plus g(3) into f(t), f(g(3)) = 50e^(.21) = 61.68

Statistics

TutorMe

Question:

Suppose you've conducted a survey about whether your classmates believe in mermaids. According to your results, 8% of your classmates actually believe in mermaids. If you surveyed 30 classmates, what's the average number of classmates who believe?

Kelsey A.

Answer:

This is a binomial problem in statistics. You can recognize that it's binomial problem because we are given a fixed number of trials (30 classmates) that are independent of each other, where each can only have two possible outcomes (believing or not). We can find the average of a binomial distribution by simply multiplying the given probability of a success by the number of trials. Therefore, the average number of classmates who believe is: .08 * 30 = 2.4.

Algebra

TutorMe

Question:

If x represents the sum of y and 4, and y represents the product of x and -3, what value is x?

Kelsey A.

Answer:

Given in the problem: x = y + 4 and y = (-3)x. We can substitute the second equation into the first. This means that every time we see a "y" in the first equation, we can rewrite it as "(-3)x" instead. Then, x = (-3)x + 4. Now we just need to get x by itself. First we subtract (-3)x from both sides, which gives us x - (-3)x = (-3)x + 4 - (-3)x x + 3x = 4 4x = 4 Dividing both sides by four gives us the final result: x = 1.

Send a message explaining your

needs and Kelsey will reply soon.

needs and Kelsey will reply soon.

Contact Kelsey

Ready now? Request a lesson.

Start Session

FAQs

What is a lesson?

A lesson is virtual lesson space on our platform where you and a tutor can communicate.
You'll have the option to communicate using video/audio as well as text chat.
You can also upload documents, edit papers in real time and use our cutting-edge virtual whiteboard.

How do I begin a lesson?

If the tutor is currently online, you can click the "Start Session" button above.
If they are offline, you can always send them a message to schedule a lesson.

Who are TutorMe tutors?

Many of our tutors are current college students or recent graduates of top-tier universities
like MIT, Harvard and USC.
TutorMe has thousands of top-quality tutors available to work with you.

Made in California

© 2019 TutorMe.com, Inc.