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OleMash [197]
3 years ago
6

if $5,000,000 isinvested at 4% interest compunded continuously, how much willl the investment be worth in 30 years

Mathematics
1 answer:
Katarina [22]3 years ago
8 0
The answer is $16216987.55 (IMPORTANT: This is the answer assuming that the interest rate is annually. The quesiton says 'continuously' so I was a bit confused)

To solve this problem, you can use the compound interest formula. 

Here it is once you plug in the numbers: A = 5,000,000 ( 1 + .04) ^30

Just solve the equation to find the solution.


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Write the inverse function for the function, ƒ(x) =1/2x + 4. Then, find the value of ƒ^ -1(4). Type your answers in the box.
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Answer:

f⁻¹(x) = 2x - 8

f⁻¹(4) = 2 × 4 - 8

f⁻¹(4) = 0

Step-by-step explanation:

f(x) = \frac{1}{2} x + 4\\x = \frac{1}{2} f^{-1}(x) + 4\\x - 4 = \frac{1}{2} f^{-1}(x)\\2x - 8 = f^{-1}(x)\\f^{-1}(x) = 2x - 8

Let's test it

f^{-1}(f(x)) = 2(f(x)) - 8\\f^{-1}(f(x)) = 2( \frac{1}{2}x + 4) - 8\\f^{-1}(f(x)) = \frac{2}{2}x + 8 - 8\\f^{-1}(f(x)) = x

So we do indeed have the inverse function, so using that we can plug in the values requested:

f⁻¹(x) = 2x - 8

f⁻¹(4) = 2 × 4 - 8

f⁻¹(4) = 0

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3 years ago
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Answer:

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