Part of $6,000 is invested at 9%, another part at 11%, and the remainder at 12% yearly interest. The total yearly income from the three investments is $650. The sum of the amounts invested at 9% and 11% equals the amount invested at 12%. How much is invested at each rate?
A. $2,000 at 9%, $1,000 at 11%, and $3,000 at 12%
B. $1,500 at 9%, $0 at 11%, and $3,500 at 12%
C. $3,000 at 9%, $0 at 11%, and $3,000 at 12%
D. $1,500 at 9%, $1,000 at 11%, and $3,500 at 12%
E. $2,500 at 9%, $2,000 at 11%, and $2,000 at 12%
Answer: A
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Fill in the table by converting the given temperature into each of the other temperatures. Round to the nearest hundredth if necessary.CelsiusKelvinFahrenheit10°C???270°K???72°F
A.
| Celsius | Kelvin | Fahrenheit |
| 10°C | 283.15°K | 18°F |
| 3.15°C | 270°K | 26.33°F |
| 22.22°C | 295.37°K | 72°F |
B.
| Celsius | Kelvin | Fahrenheit |
| 10°C | 283.15°K | 50°F |
| -3.15°C | 270°K | 26.33°F |
| 22.22°C | 295.37°K | 72°F |
C.
| Celsius | Kelvin | Fahrenheit |
| 10°C | 283°K | 50°F |
| -3°C | 270°K | 26°F |
| 22°C | 295°K | 72°F |
D.
| Celsius | Kelvin | Fahrenheit |
| 10°C | 283.15°K | 50°F |
| 0°C | 270°K | 26.33°F |
| 89.78°C | 362.93°K | 72°F |
True or false? The ordered triple listed is a solution of the system.(-5, 4, -3) x + y + z = -4 x - y + 4z = -213x + y + z = -14
A. True B. False
Find the probability.The age distribution of students at a community college is given below. Age (years)Number of students (f)
1102?A student from the community college is selected at random. Find the probability that the student is at least 31. Round your answer to three decimal places.
A. 0.926 B. 0.074 C. 0.054 D. 82
Find the shaded area.
Two squares
A. 427 cm2 B. 392 cm2 C. 441 cm2 D. 28 cm2