Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #11 : How To Find Simple Interest

Trevor wants to buy a car that costs $4,000. He spends $1,000 of his own money, and borrows the rest from his parents at 6% interest.  What will be the total cost of the car when he finishes paying back the loan?

Possible Answers:

Correct answer:

Explanation:

Trevor needs to pay 6% interest on $3,000 that he is borrowing which amounts to an additional $180, bringing the total cost to $4,180.  

Example Question #51 : Monetary Percentage

Tanya opened a credit card with 16% yearly interest to purchase something on sale at a large department store for . Unfortunately, she forgot to pay her bill all year. How much will she end up paying for the item if she pays it off now?

Possible Answers:

Correct answer:

Explanation:

When calculating interest on an item you need to multiply the amount of the item by the interest in decimal form. 16% is equivalent to .16.

. The second step is to add the interest to the original amount of the item , which would give you an answer of .

 

You can also solve this problem in one step by multiplying the original price of the item by 1.16. This number means that you are paying for 100% of the item plus the 16% interest. .

Example Question #12 : How To Find Simple Interest

Find the simple interest earned if you deposit $2000 into a bank at an annual rate of 5% for 3 years.

Possible Answers:

Correct answer:

Explanation:

To find the simple interest, we use the formula

or

where the principal is the initial amount we desposit, the rate is the percentage of interest accruing, and the time is the number of years.

We know

So we substitute, and we get

Therefore, the simple interested earned is $300.

Example Question #62 : Monetary Percentage

You deposit $400 at the bank that accrues an interest of 5% every year.  How much interest will you have earned in 10 years?

Possible Answers:

Correct answer:

Explanation:

To find the simple interest accrued, we will use the formula

or

We know the following

We can substitute into the formula.  We get

Therefore, the amount of interest earned is $200.

Example Question #63 : Monetary Percentage

You deposit $2000 in a bank that earns 12% interest every year.  How much interest will accrue in 5 years?

Possible Answers:

Correct answer:

Explanation:

To find the interest earned, we use the following formula

where P is the principal or amount deposited, R is the rate of interest earned, and T is the time in years.  Using this formula, we can substitute.  We get

Therefore, the amount of interested earned after 5 years is $1200.

Example Question #61 : Monetary Percentage

You deposit $1500 into a savings account.  The account earns 7% in interest annualy.  How much simple interest will you earn in 6 years?

Possible Answers:

Correct answer:

Explanation:

To find simple interest, we use the following formula:

where

 

Given what we know

we can substitute into the formula.  We get

 

Therefore, you earned a total of  in simple interest.

Example Question #21 : How To Find Simple Interest

You deposit $400 into a savings account.  The account earns 3% interest per year.  How much simple interest will you earn after 4 years?

Possible Answers:

Correct answer:

Explanation:

To find simple interest, we use the following formula:

where

 

Given what we know

we can substitute into the formula.  We get

 

Therefore, you earned a total of  in simple interest.

Example Question #66 : Monetary Percentage

You invest $550 in a savings account that accrues interest at a rate of 6% annually. How much interest will you earn after 3 years?

Possible Answers:

Correct answer:

Explanation:

To find simple interest, we use the following formula:

where

 

Given what we know

we can substitute into the formula.  We get

 

Therefore, you earned a total of  in simple interest.

Example Question #67 : Monetary Percentage

You deposit $700 in a savings account at a bank.  It accrues 4% interest annually.  How much simple interest will you earn after 2.5 years?

Possible Answers:

Correct answer:

Explanation:

To find simple interest, we use the following formula:

where

 

Given what we know

we can substitute into the formula.  We get

 

Therefore, you earned a total of  in simple interest.

Example Question #2722 : Algebra 1

Joey received a savings bond that pays out 4% interest each year. The face value of the bond is $500. How much will Joey receive after holding the bond for one year?

Possible Answers:

Correct answer:

Explanation:

Convert 4% into a decimal...

4% = 0.04

...and multiply by the face value of the bond. If  is the interest paid after one year, the equation would look like this:

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