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elena55 [62]
2 years ago
12

A. Compute the balance in an account if $25,000 is invested for 5 years with an APR of 3% compounded daily. The balance in the a

ccount will be? B. For the same principal, APR, and time above, compute the balance in the account if it were compounded annually. The balance in the account will be? C. Discuss the difference in the answers above and give a possible explanation. ​
Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
6 0

Answer:

A.  $29,045.68

B.  $28,981.85

C. Compound daily applies interest everyday over a period of 365 days in a year. Compound annually only applies the 3% interest once a year.

Step-by-step explanation:

3% compounded daily:

   A = P(1 + r/n)^nt

      = 25000(1 + \frac{.03}{365})^365(5)

      = 25000(1.00008219)¹⁸²⁵

      = 25000(1.161827)

      = 29045.6770

3% compounded annually:

   A = P(1 + r/n)^nt

      = 25000(1 + \frac{.03}{1})^1(5)

      = 25000(1.03)⁵

      = 25000(1.159274)

      = 28981.8518

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Answer:

(-2, 4, -2)

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Step-by-step explanation:

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Therefore, let's first isolate the variable in the second and third equation.

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Subtract x from both sides:

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Divide both sides by 2:

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Now that we've isolated the y and z variables, plug them back into the first equation. Therefore:

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Distribute:

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Combine like terms:

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Add 2 to both sides:

7x=-14

Divide both sides by 7:

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Now, plug this back into the second and third simplified equations to get the other values.

Second equation:

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Therefore, the solution is (-2, 4, -2)

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