Answer:
165 hits
Step-by-step explanation:
27.5% of 600 is 600 x 27.5 / 100 = 165
The expression that is equal to (x Superscript one-fourth Baseline y Superscript 16 Baseline) is x Superscript one-eighth Baseline y Superscript 8.
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression that is equal to (x Superscript one-fourth Baseline y Superscript 16 Baseline) can be found by simplifying the given algebraic equation,
![(x^{\frac14}y^{16})^{\frac12}\\\\=x^{(\frac14 \times \frac12)} \times y^{(16 \times \frac12)}\\\\= x^{\frac18}y^{8}](https://tex.z-dn.net/?f=%28x%5E%7B%5Cfrac14%7Dy%5E%7B16%7D%29%5E%7B%5Cfrac12%7D%5C%5C%5C%5C%3Dx%5E%7B%28%5Cfrac14%20%5Ctimes%20%5Cfrac12%29%7D%20%5Ctimes%20y%5E%7B%2816%20%5Ctimes%20%5Cfrac12%29%7D%5C%5C%5C%5C%3D%20x%5E%7B%5Cfrac18%7Dy%5E%7B8%7D)
Hence, the expression that is equal to (x Superscript one-fourth Baseline y Superscript 16 Baseline) is x Superscript one-eighth Baseline y Superscript 8.
Learn more about Expression:
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Answer:
$19,747.96
Step-by-step explanation:
You are going to want to use the continuous compound interest formula, which is shown below:
![A = Pe^{rt}](https://tex.z-dn.net/?f=A%20%3D%20Pe%5E%7Brt%7D)
<em>A = total</em>
<em>P = principal amount</em>
<em>r = interest rate (decimal)</em>
<em>t = time (years)</em>
<em />
First, lets change 5.5% into a decimal:
5.5% ->
-> 0.055
Next, plug in the values into the equation:
![A=15,000e^{0.055(5)}](https://tex.z-dn.net/?f=A%3D15%2C000e%5E%7B0.055%285%29%7D)
![A=19,747.96](https://tex.z-dn.net/?f=A%3D19%2C747.96)
After 5 years, you will have $19,747.96