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Alborosie
3 years ago
15

How much would $500 invested at 5% interest compounded continuously be worth after 8 years? Round your answer to the nearest cen

t.
Mathematics
2 answers:
astraxan [27]3 years ago
7 0
The total would be$745.89

Katena32 [7]3 years ago
6 0

Answer:

$741.91

Step-by-step explanation:

The formula for compounded continuously is given by

A=Pe^{rt}

We have been given that,

P = $500

r = 5% = 0.05

t = 8 years

A = ?

Substituting these values in above written formula, we get

A=500e^{0.05\times8}

Simplifying the exponent

A=500e^{0.4}

We can further simplify it as

A=745.9123

Rounded this value to nearest cent

A=745.91

Hence, the amount will become $741.91 in 8 years.

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Kamila has a rectangular lawn that measures 80 by 150 feet. She wants to lay gravel made from colored rock in a border, 6 feet w
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see the attached figure  

Part 2)</span><span>Use your diagram to determine how many square feet of the gravel border will surround the lawn

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Part 3) <span>Kamila decided that the depth of the gravel needs to be 2 inches. What is the total volume of gravel needed for the border?

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<span>
Part 4)</span><span>A large bag of colored rock contains a cubic yard and costs $30. What is the total cost of the rocks needed for the border?
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