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3 years ago

When evaluated, which expression has a result that is a rational number?

Mathematics

1 answer:

emmainna [20.7K]3 years ago

5 0

Answer:

√144 * 0.25 is rational!

Step-by-step explanation:

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Wanda opened a savings account 20 years ago with a deposit of $3,150.37. The account has an interest rate of 4.1% compounded dai

Aleksandr [31]

$\bf ~~~~~~ \stackrel{daily}{\textit{Continuously Compounding Interest Earned Amount}}\\\\
A=Pe^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$3150.37\\
r=rate\to 4.1\%\to \frac{4.1}{100}\to &0.041\\
t=years\to &20
\end{cases}
\\\\\\
A=3150.37e^{0.041\cdot 20}\implies A=3150.37e^{0.82}\implies A\approx 7152.91457$

how much interest is there? well, A - 3150.37.

3 0

3 years ago

What is the initial value in the function 2x + 3y = 6?

maw [93]

<h2>Explanation:</h2><h2></h2>

The initial value of this function is the y-intercept. We know that the slope-intercept form of the equation of a line is given by:

$y=mx+b \\ \\ \\ Where: \\ \\ \\ m:slope \\ \\ b:y-intercept$

Writing our equation in slope intercept form:

$2x + 3y = 6 \\ \\ \\ \text{Subtract 2x from both sides}: \\ \\ 2x -2x+ 3y = 6-2x \\ \\ 3y=6-2x \\ \\ \\ \text{Divide both sides by 3}: \\ \\ y=\frac{6-2x}{3} \\ \\ y=-\frac{2x}{3}+2$

So the initial value is:

$b=3$

5 0

3 years ago

The length of a rectangle is 5 feet and the width is 8 feet.what is the area of the rectangle

aliya0001 [1]

Answer:

40 ft squared

Step-by-step explanation:

To calculate area of a rectangle, you use the formula length times width, or base times height.

5 x 8 = 40 feet squared

5 0

3 years ago

A line passes through the points (4,-1) and (2.3). What is the slope of the line?

deff fn [24]

Answer:

-2

Step-by-step explanation:

i got it right

7 0

2 years ago

The button on Sam's calculator that calculates the sine of an angle is broken.

Galina-37 [17]

Tan 18 = opposite side/adjacent side

0.3249 = 4/adjacent side

and adjacent side = 4/0.3249 = 12.31

Now let's apply Pythagoras to find x

4² + 12.31² = x²
16 + 151.55 = x² and x² = 167.55
Then x = √167.55 and x = 12.94 ≈ 13

3 0

3 years ago