Algebra 1 : Monetary Percentage

Study concepts, example questions & explanations for Algebra 1

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Example Questions

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:

Example Question #1 : How To Find The Sale Price

A girl in County A spent $75 before a 7.25% sales tax and a girl in County B spent $70 before an 8% sales tax. How much more money did the girl from County A spend than the girl from County B after sales tax was applied? Round to the nearest hundredth.

Possible Answers:

$4.84

$5.84

$1.63

$2.63

$16.25

Correct answer:

$4.84

Explanation:

County A: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!

$75 * 0.0725 = $5.4375

Add the original price and the sales tax.

$75 + $5.4375 = $80.4375

County B: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!

$70 * 0.08 = $5.6

Add the original price and the sales tax.

$70 + $5.6 = $75.6

Then take the difference.

80.4375 – 75.6 = 4.8375

Round to the nearest hundredth: $4.84

Example Question #1 : How To Find The Sale Price

Mary was shopping for a new dress, and found one she liked for $48. Better yet, it was 25% off. How much did Mary pay for the dress? 

Possible Answers:

$23

$30

$40

$36

$12

Correct answer:

$36

Explanation:

To find the sale price we can set up a proportion. 25/100 = x/48. We keep the 100 and 48 both on the bottom of the fraction since they represent the "whole". x represents the discount off the full price of the dress. To solve this proportion, we cross multiply, yielding 48 * 25 = 100x. Alternatively, if you notice that 25/100 simplifies to 1/4, we can use 1/4 in our proportion instead of 25/100, thus, 1/4 = x/48. Then, cross multiplying, we get 48 = 4x, so x = 12. Then we subtract this discount from the original price yielding 48 – 12 = 36; thus, she paid $36 for the dress.

25% = 25/100

(1) * (48) = (4) * (x)

48 = 4x

(48)/4 = (4x)/4

12 = x

The discount is $12.

$48 – $12 = $36

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