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

5.25 ounces

step-by-step explanation:

divided 3/4 and 6

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is