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A total of $$ $36,000$$ was invested for one month in a new money market account that paid simple annual interest at the rate of $$r$$ percent. If the investment earned $$ $360$$ in interest for the month, what is the value of $$r$$?
A total of $$ $24,000$$ was invested for one month in a new money market account that paid simple annual interest at the rate of $$r$$ percent. If the investment earned $$ $180$$ in interest for the month, what is the value of $$r$$?
Tanya deposited money for one year in each of two different accounts, $$A$$ and $$B$$. Account $$A$$ paid $$x$$ percent simple annual interest, and account $$B$$ paid $$2x$$ percent simple annual interest, where $$x > 0$$. The amount deposited in account $$A$$ earned $$d$$ dollars in interest, and the amount deposited in account $$B$$ earned $$2d$$ dollars in interest.

Quantity A

The amount deposited in account A

Quantity B

The amount deposited in account B


Irene had $$ $20,000$$ in savings. She used some of her savings to purchase a computer. Of the amount remaining, she invested $$40$$ percent at $$6$$ percent simple annual interest and the rest at $$10$$ percent simple annual interest. If Irene's income from the interest totaled $$ $1260$$ for the first year, how much of her savings did she use to purchase the computer?

Quantity A

The amount of interest earned in a $$1$$-year period on $$$100$$ invested at an interest rate of $$6$$ percent compounded annually

Quantity B

The amount of interest earned in a $$2$$-year period on $$$100$$ invested at an interest rate of $$3$$ percent compounded annually


On July 1,2000, Bob opened a savings account with $$$10,000$$. The account paid an annual interest rate of $$3$$ percent, compounded yearly on June 30. If there were no deposits to or withdrawals from the account other than the interest for two years, how much money was in the account on July 1, 2002?
A deposit of $$$3,000$$ was made into an account that earned interest at the annual rate of $$r$$ percent, compounded annually, where $$r$$ is a constant. The interest was paid into the account, and there were no other deposits to or withdrawals from the account. At the end of the first year, the amount in the account, including interest, was $$$3,090$$. The amount of interest earned for the second year was what fraction of the total amount of interest earned for the $$2$$ years combined?
$$R=(3^2)(5^{11})(7^{15})$$
$$M=(2^3)(5^{14})(7^{12})$$
What is the unit digit of $$R-M$$?


What is the area of the parallelogram in the figure above?


The circle with center $$O$$ has radius $$5$$.

Quantity A

The length of chord $$RS$$

Quantity B

$$6$$


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