Martin deposits $200 in a savings account that earns 5% annual interest. four years later, cary deposits $200 in an account earning the same interest. let m represent the balance in martin's account and let c represent the amount of money in cary's account. choose the pair of expressions that describe the accounts y years after martin opened his account. martin: 200 (1.05) y cary: 200 (1.05) y+4 martin: 200 (1.05) y+4 cary: 200 (1.05) y-4 martin: 200 (0.05) y cary: 200 (0.05) y-4 martin: 200 (1.05) y cary: 200 (1.05) y-4

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Mathematics

Emerson Page

4 October, 04:21

Martin deposits $200 in a savings account that earns 5% annual interest. four years later, cary deposits $200 in an account earning the same interest. let m represent the balance in martin's account and let c represent the amount of money in cary's account. choose the pair of expressions that describe the accounts y years after martin opened his account. martin: 200 (1.05) y cary: 200 (1.05) y+4 martin: 200 (1.05) y+4 cary: 200 (1.05) y-4 martin: 200 (0.05) y cary: 200 (0.05) y-4 martin: 200 (1.05) y cary: 200 (1.05) y-4

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Kendall Bean · Answer 1

Martin deposits $200 in a savings account that earns 5% annual interest.

year interest balance

1 200 * 5% 200 (1.05)

2 200 (1.05) * 5% 200 (1.05) ^2

3 200 (1.05) ^2*5% 200 (1.05) ^3

y 200 (1.05) ^y

=> m = 200 (1.05) ^y

four years later, cary deposits $200 in an account earning the same interest.

year interest balance

5 200 * 5% 200 (1.05)

6 200 (1.05) * 5% 200 (1.05) ^2

7 200 (1.05) ^2*5% 200 (1.05) ^3

y 200 (1.05) ^ (y-4)

=> c = 200 (1.05) ^ (y-4)

Answer:

Martin: 200 (1.05) ^y

Cary: 200 (1.05) ^ (y-4)