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maw [93]
3 years ago
5

Liam invests $5,000 in an account that pays 2.5% compound interest annually. He uses the expression P(1+r)t to find the total va

lue of the account after t years. What will be the total value of the account after 3 years?
Mathematics
1 answer:
Zanzabum3 years ago
6 0
<span>Total = Principal × ( 1 + Rate )^years
</span>
Total = 5,000 * (1.025)^3
Total = 5,000 * <span> <span> <span> 1.076890625 </span> </span> </span>
<span><span><span>Total = 5,384.45 </span> </span> </span>

Source:
http://www.1728.org/compint.htm




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Find the value of y. Round your answer to the nearest tenth.
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2 years ago
Let f(x) = √x-5<br><br> Find f^ -1.
iris [78.8K]

Answer:

f^{-1}(x)= x^2 + 5 \,,\,\,x\geq 0

Step-by-step explanation:

Use the method of swapping x and y and isolating y.

f(x) = y = \sqrt{x-5}\,,\,\,\,x\geq 5,y\geq0\\\\f^{-1}:x=\sqrt{y-5}\,,\,\,\,y\geq 5, x\geq 0\\x^2 = y-5\\y = x^2 + 5 = f^{-1}(x)\\

Note that domain/range will be swapped as well.

5 0
4 years ago
Solve the following equation for x using the natural logarithm
labwork [276]
Use log rule
log(ab) = log a + log b

Take log of both sides:
ln 4 + ln 4^x = ln 10 + ln e^{-x}

Use log rule
log(a^n) = n*log(a)

ln 4 + xln 4 = ln 10 -xln e \\  \\ ln 4 + xln 4 = ln 10 -x \\  \\ x ln 4+x = ln 10 - ln 4 \\  \\ x(ln 4 +1) = ln 10 -ln 4 \\  \\ x = \frac{ln 10 - ln 4}{ln 4 +1}
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3 years ago
Find the volume of a cone with a height of 13 cm and a radius of 5 cm.
HACTEHA [7]

Answer:

V≈340.34

Step-by-step explanation:

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8 0
3 years ago
Which is the value of 3b² — b when b = 5?
yanalaym [24]

Answer:

The answer is

<h2>70</h2>

Step-by-step explanation:

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Substitute the value of b that's 5 into the expression

That's

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= 3(25) - 5

= 75 - 5

We have the final answer as

<h3>70</h3>

Hope this helps you

3 0
3 years ago
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