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Jungkook invested a certain amount of money at a 10% interest rate and Php 2000 more than that at a 12% interest rate. His total annual interest earned is Php 1340. How much money did he invest at 12% interest rate?


How many liters of a 95% muriatic acid solution and a 45% muriatic acid solution must be mixed to get 10 liters of 50% muriatic acid solution?




Prove that a cyclic group with only one generator can have at most 2 elements.


Prove that every non-trivial subgroup of a cyclic group has finite index. Hence prove that (Q,+) is not cyclic.


Amos is conducting a survey to find how many hours the students at his school spend doing

chores at home. After interviewing 50 people, he finds the mean answer is 8.2 hours with a standard

deviation of 1.5. What is the 95% confidence interval for his results?


In the expression 7 x 8 + (24/ 8 x 4), which part has to be solved first?


The product of 3/5 and 3/4 is


Solve the following with steps :

1/2 + 1/3 + 1/6


( Can you show the steps for the LCM process please, I don't just want the answer I want the math to be solved in process showing the steps of LCM )


A pool party is occurring at the Robertson's house this next holiday. They want to invite 64

 friends and family. Only 26

 friends and 9

 family members reply to the invite. The Robertson's are a family of 5

. Their pool is 35

 feet long and is 10

 feet deep when filled to capacity. They are worried children under 5

 will struggle in the pool, so they only fill the pool to 5

 feet. The day of the party, 53

 people show up. The son, Billy, is 4.5

 feet tall. If Billy's height is half the width of the pool, what is the volume of water (in cubic feet) the Robertson's filled the pool with?