D.E.V part 2

Emergency!!! Sally is becoming a in a month, but she has to prepare anything perfectly herself because her future is in New York working and he won’t be back until days before the wedding. She has to choose some to show her parents in law. She wants the best wedding ever and that’s making her freaking out because of stress… Could you help her???

Too much white, she wants something different.. First bridal store…

The next store…with 385 colorful formal dresses

The next store…with 385 colorful formal dresses Colorful… that could work, let’s go!!!

Baby blue or Royal blue 38 blue dresses

Baby blue or Royal blue 38 blue dresses 29 royal blue dresses

80 purple dresses . 53 peach dresses

80 purple dresses. 87 yellow dresses. 53 peach dresses

80 purple dresses. 87 yellow dresses. 98 pink dresses 53 peach dresses

Which one should I choose?? They all very nice… I just want to take all of them..

Question: If Sally wants to choose 2 dresses from each color so she could have 12 dresses to show her future parents in law. How many ways can Sally choose the dresses? Which one should I choose?? They all very nice… I just want to take all of them..

Solve: For each color, Sally just can take 2 dresses, and it doesn’t matter which dresses she chooses first, so we use the “Choose” formula to help her solve this problem. Calculation base on TI-84 plus.

Solve: For each color, Sally just can take 2 dresses, and it doesn’t matter which dresses she chooses first, so we use the “Choose” formula to help her solve this problem. ,[object Object],Calculation base on TI-84 plus.

Solve: For each color, Sally just can take 2 dresses, and it doesn’t matter which dresses she chooses first, so we use the “Choose” formula to help her solve this problem. ,[object Object],38 C 2 = Calculation base on TI-84 plus.

Solve: For each color, Sally just can take 2 dresses, and it doesn’t matter which dresses she chooses first, so we use the “Choose” formula to help her solve this problem. ,[object Object],38 C 2 = (38-2)! – 2! 38! = Calculation base on TI-84 plus.

Solve: For each color, Sally just can take 2 dresses, and it doesn’t matter which dresses she chooses first, so we use the “Choose” formula to help her solve this problem. ,[object Object],38 C 2 = (38-2)! – 2! 38! = 38! 36! – 2! = Calculation base on TI-84 plus.

Solve: For each color, Sally just can take 2 dresses, and it doesn’t matter which dresses she chooses first, so we use the “Choose” formula to help her solve this problem. ,[object Object],38 C 2 = (38-2)! – 2! 38! = 38! 36! – 2! = 38 x 37 x 36! 36! – 2! = Calculation base on TI-84 plus.

Solve: For each color, Sally just can take 2 dresses, and it doesn’t matter which dresses she chooses first, so we use the “Choose” formula to help her solve this problem. ,[object Object],Calculation base on TI-84 plus. 36! and 36! reduced, 2! = 2 x 1 = 2 We can reduced 38 and 2, then we have 19 left in the numerator. 38 C 2 = (38-2)! – 2! 38! = 38! 36! – 2! = 38 x 37 x 36! 36! – 2! =

Solve: For each color, Sally just can take 2 dresses, and it doesn’t matter which dresses she chooses first, so we use the “Choose” formula to help her solve this problem. ,[object Object],36! and 36! reduced, 2! = 2 x 1 = 2 We can reduced 38 and 2, then we have 19 left in the numerator. 19 x 37 = 703 Calculation base on TI-84 plus. 38 C 2 = (38-2)! – 2! 38! = 38! 36! – 2! = 38 x 37 x 36! 36! – 2! =

Solve: For each color, Sally just can take 2 dresses, and it doesn’t matter which dresses she chooses first, so we use the “Choose” formula to help her solve this problem. ,[object Object],36! and 36! reduced, 2! = 2 x 1 = 2 We can reduced 38 and 2, then we have 19 left in the numerator. 19 x 37 = 703 Or you could just plug the number into your calculator, math -> PRB -> 4 for the factorial sign [!] and 3 for the “choose” formula. Calculation base on TI-84 plus. 38 C 2 = (38-2)! – 2! 38! = 38! 36! – 2! = 38 x 37 x 36! 36! – 2! =

[object Object],[object Object],29 C 2 = 406

[object Object],[object Object],[object Object],29 C 2 = 406 80 C 2 = 3160

[object Object],[object Object],[object Object],[object Object],29 C 2 = 406 80 C 2 = 3160 53 C 2 = 1378

[object Object],[object Object],[object Object],[object Object],[object Object],29 C 2 = 406 80 C 2 = 3160 53 C 2 = 1378 87 C 2 = 3741

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],29 C 2 = 406 80 C 2 = 3160 53 C 2 = 1378 87 C 2 = 3741 98 C 2 = 4753

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],29 C 2 = 406 80 C 2 = 3160 53 C 2 = 1378 87 C 2 = 3741 98 C 2 = 4753

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],29 C 2 = 406 80 C 2 = 3160 53 C 2 = 1378 87 C 2 = 3741 98 C 2 = 4753 Add them up together to get the number of ways Sally can choose the dresses.

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],29 C 2 = 406 80 C 2 = 3160 53 C 2 = 1378 87 C 2 = 3741 98 C 2 = 4753 Add them up together to get the number of ways Sally can choose the dresses. 406 + 3160 + 1378 + 3741 + 4753 + 703 = 14141 ways

After spending a day at the bridal store, finally Sally got something to show her parents in law. they seem really happy with this but the cost they have to pay isn’t small… they can’t afford that. If Sally wants her dream comes true, having a huge and perfect wedding, she has to find out ways to pay for the dresses.

Banks… she has to have $78,000 for everything in the wedding. Now she just has $30,000 in her account. What is the money she has to pay if she loans each of the bank above? Next step….

Banks… she has to have $78,000 for everything in the wedding. Now she just has $30,000 in her account. What is the money she has to pay if she loans each of the bank above? 0.715% interest, pay back in 1 year. Next step….

Banks… she has to have $78,000 for everything in the wedding. Now she just has $30,000 in her account. What is the money she has to pay if she loans each of the bank above? 1.05% interest, pay back in 5 years 0.715% interest, pay back in 1 year. Next step….

Banks… she has to have $78,000 for everything in the wedding. Now she just has $30,000 in her account. What is the money she has to pay if she loans each of the bank above? 1.05% interest, pay back in 5 years 0.715% interest, pay back in 1 year. 2.9% interest, pay back in 2 year. Next step….

Banks… she has to have $78,000 for everything in the wedding. Now she just has $30,000 in her account. What is the money she has to pay if she loans each of the bank above? 0.75% interest, pay back in 3 years 1.05% interest, pay back in 5 years 0.715% interest, pay back in 1 year. 2.9% interest, pay back in 2 year. Next step….

0.75% interest, pay back in 3 years. Calculation base on TI-84 plus.

[object Object],0.75% interest, pay back in 3 years. Calculation base on TI-84 plus. r n t x n

[object Object],0.75% interest, pay back in 3 years. Sally needs to loan $78,000 - $30,000 = $48,000 Calculation base on TI-84 plus. r n t x n

[object Object],0.75% interest, pay back in 3 years. Calculation base on TI-84 plus. r n t x n Sally needs to loan $78,000 - $30,000 = $48,000 P = 48,000 r = n = 12 x 3 = 36 t = 3 0.75 100 = 0.075

[object Object],0.75% interest, pay back in 3 years. A = 48,000 x ( 1 + ) = 3 x 36 Calculation base on TI-84 plus. r n t x n Sally needs to loan $78,000 - $30,000 = $48,000 P = 48,000 r = n = 12 x 3 = 36 t = 3 0.75 100 = 0.075 0.075 36

[object Object],0.75% interest, pay back in 3 years. A = 48,000 x ( 1 + ) = 3 x 36 $60,097.43 Calculation base on TI-84 plus. r n t x n Sally needs to loan $78,000 - $30,000 = $48,000 P = 48,000 r = n = 12 x 3 = 36 t = 3 0.75 100 = 0.075 0.075 36

1.05% interest, pay back in 5 years

[object Object],1.05% interest, pay back in 5 years Calculation base on TI-84 plus. r n t x n

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],1.05% interest, pay back in 5 years = 0.0105 Calculation base on TI-84 plus. 1.05 100 r n t x n

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],1.05% interest, pay back in 5 years 5 x 60 = 0.0105 Calculation base on TI-84 plus. 1.05 100 0.0105 60 r n t x n

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],1.05% interest, pay back in 5 years 5 x 60 = $50,587.09 = 0.0105 Calculation base on TI-84 plus. 1.05 100 0.0105 60 r n t x n

0.715% interest, pay back in 1 year.

[object Object],t x n 0.715% interest, pay back in 1 year. Calculation base on TI-84 plus. r n

[object Object],[object Object],[object Object],[object Object],[object Object],t x n 0.715% interest, pay back in 1 year. Calculation base on TI-84 plus. r n 0.715 100

[object Object],[object Object],[object Object],[object Object],[object Object],t x n 0.715% interest, pay back in 1 year. A = 48,000 x ( 1 + ) 1 x 12 Calculation base on TI-84 plus. r n 0.715 100 0.00715 12

[object Object],[object Object],[object Object],[object Object],[object Object],t x n 0.715% interest, pay back in 1 year. A = 48,000 x ( 1 + ) = $48,344.33 1 x 12 Calculation base on TI-84 plus. r n 0.715 100 0.00715 12

2.9% interest, pay back in 2 year.

[object Object],t x n 2.9% interest, pay back in 2 year. Calculation base on TI-84 plus. r n

[object Object],[object Object],[object Object],[object Object],[object Object],t x n 2.9% interest, pay back in 2 year. Calculation base on TI-84 plus. r n 2.9 100

[object Object],[object Object],[object Object],[object Object],[object Object],t x n 2.9% interest, pay back in 2 year. A = 48,000 x ( 1 + ) = 2 x 24 Calculation base on TI-84 plus. r n 2.9 100 0.029 24

[object Object],[object Object],[object Object],[object Object],[object Object],t x n 2.9% interest, pay back in 2 year. A = 48,000 x ( 1 + ) = $50,864.54 2 x 24 Calculation base on TI-84 plus. r n 2.9 100 0.029 24

Huray!! Now Sally knows what she should do… she’ll have her dream comes true. Thanks guys for helping her. Made by TrinhNguyen

D.E.V part 2

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D.E.V part 2