. Leah invested some money at 4.5% annual interest and $1000 more than four times that amount at 6%. Her total annual income from these two investments was $801. How much did she invest at each rate

The amount invested are $2600 and $11400 respectively

Step-by-step explanation:

Let the first amount be x

Given:

(First Investment)

Principal (P1) = x

Rate (R1) = 4.5%

Time (T) = 1 year

(Second Investment)

Principal (P2) = 4x + 1000

Rate (R2) = 6%

Time (T) = 1 year

Income = $801

Calculating the income from the first investment;

Substitute values for P1, R1 and T

Calculating the income from the second investment;

Substitute values for P2, R2 and T

So:

Multiply through by 100

Collect Like Terms

Divide through by 28.5

Recall that; the second invest

Amount Invested = 4x + 1000

This gives

Hence;

The amount invested are $2600 and $11400 respectively

32

step-by-step explanation: