Two investments totaling $43,000 produce an annual income of $1520. One investment yields 2% per year, while the other yields 6% per year. How much is invested at each rate? ​

Option D

Step-by-step explanation:

Step 1

In the right triangle ABC

Find the measure of angle BAC

Step 2

In the right triangle ABC

Find the measure of angle ACB

Remember that

The sum of the internal angles of a triangle is equal to

so

m∠ACB=

Step 3

In the right triangle ADC

Find the measure of angle ACD

m∠ACD+m∠ACB= > by complementary angles

m∠ACD=

Step 4

In the right triangle ADC

Find the measure of segment CD

substitute the values