You invested a total of 10,000 at 4/2% and 5% simple interest. During one year, the two accounts earned $470. How much did you invest in each account?

$6000 was invested at 4.5% and $4000 was invested at 5%.

Step-by-step explanation:

Let x represent the amount that you invested at 4.5% simple interest.

Let y represent the amount that you invested at 5% simple interest.

You invested a total of 10,000 at 4/2% and 5% simple interest. . This means that

x + y = 10000

The formula for determining simple interest is expressed as

I = PRT/100

Considering the amount invested at 4.5% interest,

P = $x

T = 1 year

R = 4.5℅

I = (x × 4.5 × 1)/100 = 0.045x

Considering the amount invested at 5% interest,

P = $y

T = 1 year

R = 5℅

I = (y × 5 × 1)/100 = 0.05y

During one year, the two accounts earned $470. it means that

0.045x + 0.05y = 470 - - - - - - - - - -1

Substituting x = 10000 - y into equation 1, it becomes

0.045(10000 - y) + 0.05y = 470

450 - 0.045y + 0.05y = 470

- 0.045y + 0.05y = 470 - 450

0.005y = 20

y = 20/0.005

y = 4000

x = 10000 - y = 10000 - 4000

x = 6000

0 to 100 miles per hour

Step-by-step explanation: