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tiny-mole [99]
2 years ago
8

How much would $500 invested at 5% interest compounded continuously be worth after 8 years

Mathematics
1 answer:
SCORPION-xisa [38]2 years ago
8 0
A=Pe^rt
A: Total Amount
P:Principle ($500)
R: Rate 5% in decimal form
T: Time in years

A=500e^(.05*8)

A=745.912348821
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Answer:

x = 3 + 4\sqrt{3}

Step-by-step explanation:

OPQ is a right angle triangle.

<u>Using Pythagoras</u>

x^{2} + (x+5)^{2} = (x+8)^{2}\\x^{2} + x^{2} + 10x +25 = x^{2} + 16x + 64\\x^{2} + x^{2} - x^{2} + 10x - 16x + 25 - 64 = 0\\x^{2} - 6x -39 = 0

<u>Using quadratic formula</u>

<u />x = \frac{-b \± \sqrt{b^{2}-4ac}}{2a}\\x = \frac{-(-6) \± \sqrt{(-6)^{2}-4(1)(-39)}}{2(1)}\\x = \frac{6}{2} \± \frac{\sqrt{192}}{2}\\x = 3 \± \frac{8\sqrt{3}}{2}\\x = 3 \± 4\sqrt{3}

x = 3 + 4\sqrt{3} = 9.928(4s.f.)

             OR

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3 0
2 years ago
Read 2 more answers
Ion 1(Multiple Choice Worth 2 points)
Alexxandr [17]

Answer:

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3 years ago
Scott earned 20 points more on his most recent math test than he earned on the previous test. If he earned at least 80 points on
NARA [144]

9514 1404 393

Answer:

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Step-by-step explanation:

If Scott earned 20 points more on this test, then he earned 20 points less on the last test. 20 points less than "at least 80" is "at least 60."

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Ann [662]

Answer:

a=-9

Step-by-step explanation:

We begin with (0.125)^3

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2^{-9}

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