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TUGAS 1 MATEMATIKA EKONOMI

NAMA NIM

: KADEK PRIMA DAESA : 030671486

UNIVERSITAS TERBUKA UPBJJ DENPASAR 2018

TUGAS 1 Jawablah pertanyaan berikut in langsung di bawah pertanyaan 1. Berapakah nilai dari : (53 x 52)1/2 Jawab: (53-2×52 -2)=(51×0)=51=5  29  2. Berapakah nilai dari : 4  3 6   4 

Jawab:



 

 29  4 3 12  = 4 3 2 ( 9 12 ) = 4 3 2 ( 3)  2   

 = 2 2  = 2 2

3

3

2  ( 1)

= 21 = 2

3. Jika diketahui log 2 = 0,301, log 3 = 0,477, maka nilai log 6 adalah .... Jawab: Log 6 = log (2x3) = log 2 + log 3= 0,301+0,477 = 0,778 4. Suatu banjar hitung memiliki suku kedua 10 dan suku kelima 25. Berapa deret kelimanya? Jawab: S2 = 10 S6 = 25 Sn = a + ( n – 1) b 10 = a + ( 2 - 1) b 25 = a + ( 5 - 1) b -15 = -3 b b = 15/ 3 = 5 S2 = a + ( 2 -1 ) 5 10 = a + 1.5 a = 10 -5 = 5 Dn= ½ n ( a+Sn) D5 = ½ 5 (5+25) D5 = 2.5 X 30 = 75 5. Suatu banjar ukur memiliki suku pertama 5 dan suku kedua 15. Hitunglah deret ke3 dan deret ke-5 ! Jawab:

a S2 S2 15 P

=5 = 15 = a p 2-1 = 5 . p1 = 15/ 5 = 3

S3 = a p3-1 = 5 . 32 = 5 . 9 = 45 D3 = =

=

=

= 65

S5 = a p5-1 = 5. 34 = 5 (81) = 405 D5 =

=

=

=

= 605

6. Lima tahun lagi Shamil akan menerima uang 50.000.000. Berapakah nilai sekarang uang tersebut jika tingkat bunga 12% setahun? Jawab:

PV =

PV =

=

=

=39.859.694

7. Carilah titik potong antara garis 8x - 4y - 4= 0 dengan garis 5x - y + 8= 0 ! Jawab: 8x – 4y – 4 = 0 4y = 8x – 4 y = y =2x – 1(a) Persamaan (a) kita masukan kepersamaan kedua : 5x - y+8 = 0 5x – (2x-1)+8 = 0 5x–2x+1+8 = 0

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