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Firdavs [7]
3 years ago
13

Squandering Sam has $1,050 in his bank account. Every week he withdraws $40 to buy scratch off tickets. Saving Sally doesn’t hav

e any money now, but is depositing every penny of the $35 a week she makes into a bank account. How many weeks will it take for Sam and Sally to have the same amount of money in their accounts?
Mathematics
1 answer:
shtirl [24]3 years ago
4 0

Answer:

15 weeks

Step-by-step explanation:

Week 1: 1,050 ≠ 0

Week 2: 1,010 ≠ 35

Week 3: 970 ≠ 70

Week 4: 930 ≠ 105

Week 5: 890 ≠ 140

Week 6: 850 ≠ 175

Week 7: 810 ≠ 210

Week 8: 770 ≠ 245

Week 9: 730 ≠ 280

Week 10: 690 ≠ 315

Week 11: 650 ≠ 350

Week 12: 610 ≠ 385

Week 13: 570 ≠ 420

Week 14: 530 ≠ 455

Week 15: 490 = 490

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Find an equation for the nth term of a geometric sequence where the second and fifth terms are -21 and 567, respectively
oksano4ka [1.4K]

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x_n=7(-3)^{n-1}

Step-by-step explanation:

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x_n=ar^{n-1}

Where xₙ is the nth term, a is the initial value, and r is the common ratio.

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a_2=-21\\a_5=567

Substitute them into the equations:

x_2=ar^{(2)-1}\\-21=ar

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a^5=ar^{(5)-1}\\567=ar^4

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r=-21/a\\r=-21/(7)\\r=-3

Thus, the common ratio is -3.

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x_n=7(-3)^{n-1}

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