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 《《《

Respuesta :

b cause every time  you ad 1 to 1000 it would be 2000 and 1 to 3000 would be 4000 so its 3 more ahead

Answer:

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 = [tex]1000\times0.05\times5[/tex]

= $250

Case 2:

p = 3000

r = 5% or 0.05

t = 5

Interest earned = [tex]3000\times0.05\times5[/tex]

= $750

We can see that the interest earned in case 2 is [tex]\frac{750}{250}=3[/tex] 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.