a total of 38,000 is invested in two municipal bonds that pay 4.75% and 5.25% simple interest. The investor wants an annual interest income of $1925 from the investments. What amount should be invested in the 4.75% bond?

$14,000 should be invested in the 4.75% bond

Step-by-step explanation:

We need to find the amount "x" that needs to be invested at 4.75%.

Notice as well that the total to be invested equals $38,000, and therefore, what is going to be invested in the other bond (5.25%) must be "$38,000-x"

We now write the equation for the addition of both interests coming from such investment, recalling the formula for simple interest as : I = P * r * t

Where I = Interest

P = Principal (amount deposited)

r = percent rate in decimal form

t = time (one year)

so for the amount  x on the 4.75% bond, the interest after one year would be:

For the amount ($38000-x on the 5.25% bond, the interest after one year would be:

Then, the addition of both interests would render:

Now, recall that the investor wants this total interest to be $1925, then we can write the following equation and solve for "x":

Therefore, the amount to be deposited in the 4.75% bond should be $14,000

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above