Respuesta :

Answer:

4.5%

Step-by-step explanation:

Firstly we should understand that a quarter is every three months.

So if $135 is earned each quarter, then 4 * 135 = $540 is earned per annnum

We use the simple interest formula to get the rate.

Mathematically;

I = PRT/100

where P is the amount deposited = 12,000

R is what we are looking for which is the rate

T is the time which is 1 year

I is the interest which is 540

We can rewrite the simple interest formula to be:

100I = PRT

R = 100I/PT

Thus substituting the values we have;

R = (100 * 540)/(12,000 * 1) = 4.5%

Answer:

4.5%

Step-by-step explanation:

Using the simple interest formula to tackle this question.

[tex]SI = \frac{PRT}{100}[/tex]

P = principal = $12,000

R = rate (in %) = ?

T = Time(in years) = 1/4 years

135 = [tex]\frac{12000*R}{100*4}[/tex]

[tex]135 = \frac{12000R}{400}\\ 54000 = 12000R\\R = \frac{54000}{12000}\\ R = 4.5\ %[/tex]

The annual rate of simple interest is 4.5%

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