3ixnoo
contestada

Shane deposited $200 into an account and earned $36 in interest after 3 years. Use the formula I = prt, where I represents simple interest, p represents principal, r represents interest rate, and t represents time in years. What is the interest rate?

Respuesta :

Answer:

Β  The interest rate = 6 %

Explanation:

We have Β I = prt, where I represents simple interest, p represents principal, r represents interest rate, and t represents time in years.

Β Here principal, p = 200 $

Β  Β  Β  Β  Β  Number of years , t = 3

Β  Β  Β  Β  Interest received, I = 36$

Β  Β  Β  Β We need to find rate of interest.

Substituting

Β  Β  Β  Β 36 = 200 x r x 3

Β  Β  Β  r = [tex]\frac{36}{200*3}[/tex]= 0.06 = 6%

Β  The interest rate = 6 %

Answer:20%

Step-by-step explanation:

Let r represent rate of interest.

We have been given that Mika invested $200 into a certificate of deposit. After 6 months, the balance was $220.

We will use simple interest formula to solve our given problem.

I = Amount of interest,

P = Principal amount,

r = Rate of interest in decimal form,

t = Time in years.

First of all, we will find amount of interest by subtracting $200 from $220 as:

6 month = 1/2 year = 0.5 year

Upon substituting our given values in simple interest formula, we will get:

Upon dividing both sides by $100, we will get:

Since interest rate is given in decimal, so we will multiply 0.2 by 100 to convert our answer in percentage.

Therefore, the interest rate on the deposit was 20% and option B is the correct choice.