URGENT: At what annual rate of simple interest must $12,000 be invested to earn $135 in interest each quarter? (I will give brainliest)

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%

Step-by-step explanation:

Using the simple interest formula to tackle this question.

P = principal = $12,000

R = rate (in %) = ?

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

135 =

The annual rate of simple interest is 4.5%

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2