## Sariah 3 years ago Solve the problem. Susan purchased some municipal bonds yielding 7% annually and some certificates of deposit yielding 9% annually. If Susan's investment amounts to $19,000 and the annual income is$1590, how much money is invested in bonds and how much is invested in certificates of deposit? a. $13,500 in bonds;$5500 in certificates of deposit b. $5500 in bonds;$13,500 in certificates of deposit c. $13,000 in bonds;$6000 in certificates of deposit d. $6000 in bonds;$13,000 in certificates of deposit

1. Sariah

2. satellite73

sorry it should be $.07x+.09(19000-x)=1590$

3. satellite73

i get x = 6000

4. Sariah

Solve the problem. Find all values of k so that the given points are \sqrt {29} units apart. (-5, 5), (k, 0) a. 3, 7 b. 7 c. -3, -7 d. -7

5. Hero

6. Hero

I wanted to discuss the first question

7. Sariah

What do you think Hero?

8. Hero

Satellite, did you set that up as two equations then substitute y into the first one?

9. Hero

.07x + .09y = 1590 x + y = 19000

10. Hero

?

11. Sariah

Hero the right answer is not D_= 6000 in bonds, is it?

12. satellite73

no i reasoned as follows. put x = amount in 7% CD, then since the total is 19000 the rest must be 19000 - x

13. Hero

But the equation comes out in the same manner as what you posted

14. satellite73

yes of course. i put x = amount in 7% and got x = 6000 so that is the amount in municipal bonds. the rest is in the 9% stuff

15. Hero

What does x and y represent?

16. satellite73

i guess i just did the y = 19000 - x part in my head

17. Hero

I'm thinking x is the amount invested in bonds and y is the amount invested in certificates, right?

18. Hero

I mean, the answer must be d

19. Sariah

Ok the same i think...

20. Sariah

Solve the problem. Find all values of k so that the given points are \sqrt {29} units apart. (-5, 5), (k, 0) a. 3, 7 b. 7 c. -3, -7 d. -7