Answer:
Step-by-step explanation:
we know that
The formula to calculate continuously compounded interest is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
substitute in the formula above
The simplification form of the provided expression is 2x²y⁴ option first is correct.
<h3>What is an expression?</h3>
It is defined as the combination of constants and variables with mathematical operators.
We have an expression:
![= \rm \sqrt[3]{8x^6y^{12}}](https://tex.z-dn.net/?f=%3D%20%5Crm%20%5Csqrt%5B3%5D%7B8x%5E6y%5E%7B12%7D%7D)
![\rm =\sqrt[3]{8}\sqrt[3]{x^6}\sqrt[3]{y^{12}}](https://tex.z-dn.net/?f=%5Crm%20%3D%5Csqrt%5B3%5D%7B8%7D%5Csqrt%5B3%5D%7Bx%5E6%7D%5Csqrt%5B3%5D%7By%5E%7B12%7D%7D)
![\rm \rm = \rm 2\sqrt[3]{x^6}\sqrt[3]{y^{12}}](https://tex.z-dn.net/?f=%5Crm%20%5Crm%20%3D%20%5Crm%202%5Csqrt%5B3%5D%7Bx%5E6%7D%5Csqrt%5B3%5D%7By%5E%7B12%7D%7D)
![\rm =2x^2\sqrt[3]{y^{12}}](https://tex.z-dn.net/?f=%5Crm%20%3D2x%5E2%5Csqrt%5B3%5D%7By%5E%7B12%7D%7D)

Thus, the simplification form of the provided expression is 2x²y⁴ option first is correct.
Learn more about the expression here:
brainly.com/question/14083225
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Answer:
The value of the slope in this equation is 50
The interpretation is that the rate of change in the cost of the phone bill per unit change in gigabytes of data used each month is 50
Step-by-step explanation:
To answer this question, we need to compare the given equation with the equation of a straight line graph.
The equation we have is;
c = 50g + 75
comparing this with the equation of a straight line, we have
y = mx + c
where m represents the slope and c is the y-intercept
So comparing both, the slope of the equation is 50.
The slope is always the co-efficient of the value on the x-axis
So what does this mean?
The slope also called the gradient represents the rate of change of the y-term divided by the rate of change of the x-term. In simpler terms, when we talk of the slope, we mean the rate of change of the y term per the unit change of the x-term.
So what we mean in this case is the rate of change in cost of the phone bill per unit change in gigabytes of data used each month is 50
hope it really helps.....!!!!