## Sariah 3 years ago Solve the problem. Instruments on a satellite measure the amount of power generated by the satellite's power supply. The time t and the power P can be modeled by the function P = 50e^{-t/300}, where t is in days and P is in watts. How much power will be available after 378 days? Round to the nearest hundredth. a. 141.8 watts b. 14.18 watts c. 1.41 watts d. 0.14 watts

1. Sariah

Are you sure?

2. Sbdenney

25% chance :)

3. Sbdenney

no im not

4. Elekt

Why not just plug in t = 378 in the expression?

5. sdgewrh

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6. Sariah

Jajaja you are funy...

7. Elekt

Plugging in t = 378 gives 14.18 watts, option b. If I have understodd the problem, this is correct.

8. Sariah

Elekt how can be sure that this the right answer?

9. Elekt

Well, if I have understood the problem, it asks how much power it is after 378 days. Since you have a function that describes the amount of power at any instant t, it should just be to plug in t = 378 days when t is in days :)

10. Sariah

ok you are right... thanks... i have mor question dear can you keep helping me ?

11. Elekt

Yes, sure :)

12. Sariah

List all the elements of B that belong to the given set. $B =\left\{ 5,\sqrt{7,-3.0,} \right\} 0>5 0.62$ Rational numbers a. \{5,0\} b. \{\sqrt{7},\frac{0}{5},0.62\} c. \{ \sqrt{7} \} d. \{5,-3,0,\frac{0}{5},0.62\}

13. Elekt

Hmmz, not even sure what that means because of the $0 > 50.62$ in there :P

14. Elekt

And are you just supposed to list the rational elements of that set?

15. Sariah

|dw:1322514839073:dw|

16. Elekt

Ah, well then the elements of the set will be all the numbers inside there, unless you are looking for just rational numbers. In that case, it will only be 5, -3, 0, 0/5, 0, 62

17. Sariah

Question 10 Find the value of the indicated trigonometric function of the angle θ in the figure. Give an exact answer with a rational denominator. |dw:1322515842341:dw| a. \frac{8 \sqrt{39}}{39} b. \frac{5}{8} c. \frac{5 \sqrt{39}}{39} d. \frac{ \sqrt{39}}{8}

18. Elekt

But I guess since some of the elements occur several times, you need just list up the the numbers that occur several times just once.

19. Sariah

ok, I have sent othe Question? Please hkeep help me...

20. Elekt

yes, $\sin \theta = \frac{5}{8}$ Because sines is defined as the relationship between the opposite side and the hypotenuse.

21. Sariah

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