
#2.24 - 1st Semester Review Bonus 2024
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the formula for continuous compounding?
Back
A = Pe^(rt), where A is the amount of money accumulated after n years, including interest, P is the principal amount (the initial amount of money), r is the annual interest rate (decimal), and t is the time the money is invested for in years.
2.
FLASHCARD QUESTION
Front
How do you calculate the total amount after compound interest is applied quarterly?
Back
Use the formula A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, P is the principal amount, r is the annual interest rate (decimal), n is the number of times that interest is compounded per year, and t is the number of years.
3.
FLASHCARD QUESTION
Front
What is the effective interest rate for an account that compounds interest quarterly at a nominal rate of 5%?
Back
The effective interest rate can be calculated using the formula: (1 + r/n)^(nt) - 1, where r is the nominal interest rate, n is the number of compounding periods per year, and t is the number of years.
4.
FLASHCARD QUESTION
Front
If you earn $1000 weekly and the agency takes 15% of your first 4 weeks' salary, how much do you owe the agency?
Back
You owe the agency $600, calculated as 15% of $4000 (4 weeks x $1000).
5.
FLASHCARD QUESTION
Front
What is the ratio of investment between two partners if one invests $71,500 and the other invests $143,000 - $71,500?
Back
The ratio is 4:8, which simplifies to 1:2.
6.
FLASHCARD QUESTION
Front
How do you find the percentage ownership of an investment?
Back
Percentage ownership can be calculated by dividing the amount invested by the total investment and then multiplying by 100.
7.
FLASHCARD QUESTION
Front
What is the total amount in an account after 2 years if $7000 is invested at 5% interest compounded quarterly?
Back
The total amount is $7725.50, calculated using the formula A = P(1 + r/n)^(nt).
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