How to find simple interest - ACT Math (2024)

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ACT Math Help » Arithmetic » Percentage » Interest » How to find simple interest

Example Question #1 : Interest

Ben and Sam are starting a furniture design business. In order to build their shop, they borrow $150,000 from their neighborhood bank. The interest rate on the loan is 6%. How much interest do they have to pay?

Possible Answers:

$1500

$6000

$3000

$9000

$12,000

Correct answer:

$9000

Explanation:

Simple interest = Amount borrowed x Interest rate =

150,000 x 6% = 150,000 x .06 = $9000

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Example Question #1 : How To Find Simple Interest

Amy recently opened a new credit card. In her first month, expenditures totaled $500 and she was not charged any interest. Amy paid $80 from her first month's bill. The second month, Amy spent another $60 on her credit card. This time, she was charged 5% interest on her total unpaid balance. How much interest was Amy charged?

Possible Answers:

$24.00

$32.00

$4.80

$48.00

$12.00

Correct answer:

$24.00

Explanation:

This requires us to keep track of Amy's expenses. After her first month, the unpaid balance was 500 - 80 = $420.

However, after the second month, her unpaid balance went up to $480.

5% of 480 can be obtained by multiplying

480 x .05 = 24

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Example Question #1 : How To Find Simple Interest

Ella loaned Frances$10,000to start a business. They agreed that the loan would be paid back in five years, with a simple interest rate of 9%. When the loan is paid back in full, what will be the total amount that Ella collects?

Possible Answers:

How to find simple interest - ACT Math (1)

How to find simple interest - ACT Math (2)

How to find simple interest - ACT Math (3)

How to find simple interest - ACT Math (4)

How to find simple interest - ACT Math (5)

Correct answer:

How to find simple interest - ACT Math (6)

Explanation:

The simple interest formula is given by I = PRt where I = interest, P = principal, R = rate, and t = time.

Here, I = 10,000 * 0.09 * 5 = $4,500.

The total repayment amount is the interest plus the principal, so $4,500 + $10,000 = $14,500 total repayment.

Example Question #1 : How To Find Simple Interest

An account accruesHow to find simple interest - ACT Math (7)of simple interest during a fifteen year period. If this is accrued yearly at a rate ofHow to find simple interest - ACT Math (8), what was the initial balance of the account at the beginning of this period? Round to the nearest dollar.

Possible Answers:

How to find simple interest - ACT Math (9)

How to find simple interest - ACT Math (10)

How to find simple interest - ACT Math (11)

How to find simple interest - ACT Math (12)

How to find simple interest - ACT Math (13)

Correct answer:

How to find simple interest - ACT Math (14)

Explanation:

Simple interest has the formula of:

How to find simple interest - ACT Math (15), whereHow to find simple interest - ACT Math (16)is the starting balance,How to find simple interest - ACT Math (17)is the interest rate, andHow to find simple interest - ACT Math (18)is the number of accrual periods.

For our data, this is simply:

How to find simple interest - ACT Math (19)

Simplifying, we get:

How to find simple interest - ACT Math (20)

Divide both sides byHow to find simple interest - ACT Math (21)to get:

How to find simple interest - ACT Math (22)

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Example Question #5 : How To Find Simple Interest

An account accrues simple interest on an initial balance ofHow to find simple interest - ACT Math (23)dollars at a rate ofHow to find simple interest - ACT Math (24)per year. AfterHow to find simple interest - ACT Math (25)years, how much interest has accrued to the account?

Possible Answers:

How to find simple interest - ACT Math (26)

How to find simple interest - ACT Math (27)

How to find simple interest - ACT Math (28)

How to find simple interest - ACT Math (29)

How to find simple interest - ACT Math (30)

Correct answer:

How to find simple interest - ACT Math (31)

Explanation:

Simple interest has the formula of:

How to find simple interest - ACT Math (32), whereHow to find simple interest - ACT Math (33)is the starting balance,How to find simple interest - ACT Math (34)is the interest rate, andHow to find simple interest - ACT Math (35)is the number of accrual periods.

For our data, this is simply:

How to find simple interest - ACT Math (36)

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Example Question #6 : How To Find Simple Interest

The equationHow to find simple interest - ACT Math (37)can be used to calculate simple interest, whereHow to find simple interest - ACT Math (38)is the total interest,How to find simple interest - ACT Math (39)is the principal amount,How to find simple interest - ACT Math (40)is the rate of interest expressed as a decimal andHow to find simple interest - ACT Math (41)is the amount of times interest is added.

A man paysHow to find simple interest - ACT Math (42)in annual interest on a loan ofHow to find simple interest - ACT Math (43). If the loan repayment term wasHow to find simple interest - ACT Math (44)years,what was the interest rate?

Possible Answers:

How to find simple interest - ACT Math (45)

How to find simple interest - ACT Math (46)

How to find simple interest - ACT Math (47)

How to find simple interest - ACT Math (48)

How to find simple interest - ACT Math (49)

Correct answer:

How to find simple interest - ACT Math (50)

Explanation:

Plugging our variables into the above equation gives us

How to find simple interest - ACT Math (51)

How to find simple interest - ACT Math (52)

Thus, our interest rate isHow to find simple interest - ACT Math (53).

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Example Question #7 : How To Find Simple Interest

The equationHow to find simple interest - ACT Math (54)can be used to calculate simple interest, whereHow to find simple interest - ACT Math (55)is the total interest,How to find simple interest - ACT Math (56)is the principal amount,How to find simple interest - ACT Math (57)is the rate of interest expressed as a decimal andHow to find simple interest - ACT Math (58)is the amount of times interest is added.

Grant takes out a personal loan to buy a car. He paysHow to find simple interest - ACT Math (59)in interest before the loan is repaid. If the interest rate isHow to find simple interest - ACT Math (60)compounded annually and it took GrantHow to find simple interest - ACT Math (61)years to repay the loan, what amount was the original loan for?

Possible Answers:

How to find simple interest - ACT Math (62)

How to find simple interest - ACT Math (63)

How to find simple interest - ACT Math (64)

How to find simple interest - ACT Math (65)

How to find simple interest - ACT Math (66)

Correct answer:

How to find simple interest - ACT Math (67)

Explanation:

Using theHow to find simple interest - ACT Math (68)equation gives us:

How to find simple interest - ACT Math (69)

How to find simple interest - ACT Math (70)

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Example Question #8 : How To Find Simple Interest

The equationHow to find simple interest - ACT Math (71)can be used to calculate simple interest, whereHow to find simple interest - ACT Math (72)is the total interest,How to find simple interest - ACT Math (73)is the principal amount,How to find simple interest - ACT Math (74)is the rate of interest expressed as a decimal andHow to find simple interest - ACT Math (75)is the amount of times interest is added.

Ashley wants to take out a loan for some home improvements. She knows that her simple interest rate will beHow to find simple interest - ACT Math (76)monthly, and that she will need to borrowHow to find simple interest - ACT Math (77). If she wants to pay no more thanHow to find simple interest - ACT Math (78)in interest over the life of the loan, what is the longest amount of time in months she has to pay off the loan?

Possible Answers:

How to find simple interest - ACT Math (79)

How to find simple interest - ACT Math (80)

How to find simple interest - ACT Math (81)

How to find simple interest - ACT Math (82)

How to find simple interest - ACT Math (83)

Correct answer:

How to find simple interest - ACT Math (84)

Explanation:

Using theHow to find simple interest - ACT Math (85)equation gives us:

How to find simple interest - ACT Math (86)

How to find simple interest - ACT Math (87)

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Example Question #9 : How To Find Simple Interest

The equationHow to find simple interest - ACT Math (88)can be used to calculate simple interest, whereHow to find simple interest - ACT Math (89)is the total interest,How to find simple interest - ACT Math (90)is the principal amount,How to find simple interest - ACT Math (91)is the rate of interest expressed as a decimal andHow to find simple interest - ACT Math (92)is the amount of times interest is added.

A loan officer realizes an error has been committed on an account -- a customer with aHow to find simple interest - ACT Math (93)loan has been paying an annual interest rate ofHow to find simple interest - ACT Math (94)for the lastHow to find simple interest - ACT Math (95)years instead of the promised annual interest rate ofHow to find simple interest - ACT Math (96). If the loan was just paid off, how much money does the bank owe the customer?

Possible Answers:

How to find simple interest - ACT Math (97)

How to find simple interest - ACT Math (98)

How to find simple interest - ACT Math (99)

How to find simple interest - ACT Math (100)

How to find simple interest - ACT Math (101)

Correct answer:

How to find simple interest - ACT Math (102)

Explanation:

First, we must use our formula to determine how much money the customer has paid in interest:

How to find simple interest - ACT Math (103)

Now, calculate how muchshouldhave been paid, based on the correct interest rate:

How to find simple interest - ACT Math (104)

Lastly, find the difference between these two numbers:

How to find simple interest - ACT Math (105)

Thus, the bank owes the customerHow to find simple interest - ACT Math (106).

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Example Question #10 : How To Find Simple Interest

How much more money will a savings account atHow to find simple interest - ACT Math (107)annual simple interest generate than an account atHow to find simple interest - ACT Math (108), if both accounts start withHow to find simple interest - ACT Math (109)and are left untouched forHow to find simple interest - ACT Math (110)years?

Possible Answers:

How to find simple interest - ACT Math (111)

How to find simple interest - ACT Math (112)

How to find simple interest - ACT Math (113)

How to find simple interest - ACT Math (114)

How to find simple interest - ACT Math (115)

Correct answer:

How to find simple interest - ACT Math (116)

Explanation:

First, we must use our formula to determine how much interest each account generates, then subtract the greater from the smaller.

How to find simple interest - ACT Math (117)

How to find simple interest - ACT Math (118)

How to find simple interest - ACT Math (119)

So, the account atHow to find simple interest - ACT Math (120)interest savesHow to find simple interest - ACT Math (121)more.

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How to find simple interest - ACT Math (122)

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How to find simple interest - ACT Math (2024)

FAQs

How to find simple interest - ACT Math? ›

The simple interest formula is given by I = PRt where I = interest, P = principal, R = rate, and t = time. Here, I = 10,000 * 0.09 * 5 = $4,500.

How do you find the simple interest rate in math? ›

How to Calculate Simple Interest? Simple Interest is calculated using the following formula: SI = P × R × T, where P = Principal, R = Rate of Interest, and T = Time period.

What is the formula for simple interest in word problems? ›

Interest Word Problems. Simple interest – interest that is calculated using the formula Interest=(Principal)× (Rate)× (Time). This formula often is abbreviated I=PRT. If the time is equal to one year, the formula becomes I=PR.

How do you solve simple interest questions? ›

Simple Interest Formula and Quick Tricks
  1. Simple Interest formula: SI = (PRT)/100, where SI is the Simple Interest, P is the Principal, R is the Rate of Interest per annum, and T is the Time period in years.
  2. To find interest for one year, divide the Rate by 100 and multiply by the Principal.
Feb 21, 2024

How to calculate interest formula? ›

The formula for calculating simple interest is: Interest = P * R * T. P = Principal amount (the beginning balance). R = Interest rate (usually per year, expressed as a decimal). T = Number of time periods (generally one-year time periods).

What is $450 at 7 for 2 years? ›

Answer: the simple interest is 63 , and total amount after 2 years is 513.

What is the formula for simple interest in words? ›

The formula for simple interest is SI = P × R × T / 100, where SI = simple interest, P = principal amount, R = the interest rate per annum, and T = the time in years. To calculate the simple interest (SI), multiply the principal amount by the interest rate and the time in years, and then divide it by 100.

What is an example of a simple interest? ›

For example, assume you have a car loan for $20,000. Your interest rate is 4%. To find the simple interest, we multiply 20000 × 0.04 × 1 year. So, by using simple interest, $20,000 at 4% for 5 years is ($20,000*0.04) = $800 in interest per year.

What is the formula for simple interest quizlet? ›

Simple interest is very regular and can be calculated in advance. In the formula I=P·r·t, what does P stand for?

How to calculate the rate? ›

Calculate the rate

Subtract the starting time from the ending time to find the total length of the interval. Divide the total change by the interval length to find the rate of change over the course of the interval.

How to find simple interest in 7th grade? ›

The amount of interest is given by I = Prt, where P is the principal, r is the annual interest rate in decimal form, and t is the loan period expressed in years.

How to know if the problem is simple interest? ›

In the case of a loan, simple interest is only charged on the original principal amount. Simple interest is calculated by multiplying the loan principal by the interest rate and then by the term of a loan. Compound interest multiplies savings or debt at an accelerated rate.

How do you manually calculate simple interest? ›

The formula to determine simple interest is an easy one. Just multiply the loan's principal amount by the annual interest rate by the term of the loan in years.

How do you calculate simple interest only? ›

Simple Interest Formulas and Calculations:
  1. Calculate Interest, solve for I. I = Prt.
  2. Calculate Principal Amount, solve for P. P = I / rt.
  3. Calculate rate of interest in decimal, solve for r. r = I / Pt.
  4. Calculate rate of interest in percent. R = r * 100.
  5. Calculate time, solve for t. t = I / Pr.
Mar 28, 2024

What is the formula for real interest rate simplified? ›

A “real interest rate” is an interest rate that has been adjusted for inflation. To calculate a real interest rate, you subtract the inflation rate from the nominal interest rate. In mathematical terms we would phrase it this way: The real interest rate equals the nominal interest rate minus the inflation rate.

How to find the rate in math? ›

How do you find rates in math? To find a rate in math, divide the value of the dependent variable by the value of the independent variable. Then, reduce the fraction if possible.

What is the formula for simple interest simple discount rate? ›

In discounting at simple interest by means of P = S/(1+rt) the difference D=S-P is called simple discount at an interest rate.

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