You invest $1000.00 in one account and $3,000.00 in another account. both accounts have the same interest rate over the same amount of time. how will the interest earned compare?

a they will earn the same amount of interest
b the $3,000.00 account will earn 3x the amount of interest
c the $1,000.00 account will earn one-half the amount of interest
d the $3,000.00 account will earn one-third the amount of interest 《《《

B: The $3,000.00 account will earn 3x the amount of interest.

Step-by-step explanation:

Let us solve this by taking rate and time as 5% and 5 years respectively.

Also let us assume that it is simple interest.

Case 1:

p = 1000

r = 5% or 0.05

t = 5

Interest = p x r x t

Interest earned =

= $250

Case 2:

p = 3000

r = 5% or 0.05

t = 5

Interest earned =

= $750

We can see that the interest earned in case 2 is times the interest earned in case 1.

So, the correct option will be :

The $3,000.00 account will earn 3x the amount of interest.

x=4

step-by-step explanation: