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Mice21 [21]
2 years ago
6

A principal of $2900 is invested at 6% interest, compounded annually. How much will the investment be worth after 11 years?

Mathematics
2 answers:
Nitella [24]2 years ago
6 0

Answer:

INVEST --- 2,900

INTREST -- 6%

year -- 11

<u> </u><u>SUM </u><u>AFTER </u><u>1</u><u>1</u><u> </u><u>YEAR </u>

<u> </u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>FORMULA </u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>A=</u><u>P(</u><u>1</u><u>+</u><u>r/</u><u>n)</u><u> </u><u>nt</u>

<u> </u><u>A </u><u>=</u><u> </u><u>FINIAL </u><u>AMOUNT</u>

<u>P=</u><u> </u><u>PRINCIPAL</u><u> </u><u>BALANCE </u>

<u>R=</u><u> </u><u>RATE </u>

<u>N=</u><u> </u><u>NUMBER </u><u>OF </u><u>TIME</u>

<u>T=</u><u> </u><u>NUMBER</u><u> OF</u><u> TIME</u><u> </u><u>PERIOD</u>

<u>SO </u><u>,</u><u>,</u><u> </u>

<u>(</u><u>1</u><u>+</u><u>i </u><u>)</u><u>t</u>

<u>$</u><u> </u><u>2</u><u>,</u><u>9</u><u>0</u><u>0</u><u> </u><u>(</u><u> </u><u>0</u><u>.</u><u>0</u><u>6</u><u> </u><u>/</u><u>1</u><u> </u><u> </u><u>+</u><u> </u><u>1</u><u>)</u><u> </u>

<u>2</u><u>,</u><u>9</u><u>0</u><u>0</u><u>(</u><u>1</u><u>.</u><u>0</u><u>6</u><u>)</u><u>¹</u><u>¹</u>

<u>2</u><u>,</u><u>9</u><u>0</u><u>0</u><u> </u><u>(</u><u> </u><u>1</u><u>.</u><u>8</u><u>9</u><u>8</u><u>3</u><u>9</u><u>8</u><u>5</u><u>6</u><u>)</u>

<u>AMOUNT </u><u>=</u><u> </u><u>$</u><u> </u><u>5</u><u>.</u><u>5</u><u>0</u><u>5</u><u> </u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u>ANSWER</u>

weqwewe [10]2 years ago
3 0

Answer:

<u>$5,505</u>

Step-by-step explanation:

Compound interest formula :

  • A = P (1 + r/n)^(nt)

Solving after substituting the given values :

  • A = (2,900)(1 + 0.06/1)¹¹
  • A = (2,900)(1.06)¹¹
  • A = (2,900)(1.89829856)
  • A = <u>$5,505</u> (nearest dollar)
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