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3 years ago

The point(5/13,Y) IS IN THE 4TH quadrant corresponds to angle on the unit circle

1 answer:

6 0

4th quadrant is positive x (cos) and negative y (sin)

Use the Pythagorean Theorem to calculate the value of y (sin).
x² + y² = c²
5² + y² = 13²
25 + y² = 169
y² = 144
y = 12

Since the y-value is negative in the 4th quadrant, then y = -12

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What is the mean absolute deviation of the data set? {12, 10, 10, 8, 6, 7, 7, 12}

Simora [160]

Answer:

The MAD of {12, 10, 10, 8, 6, 7, 7, 12} is 2.

Step-by-step explanation:

Step 1 : Add all the values Up:

 $12+10+10+8+6+7+7+12=72$

Step 2 : Divide them by the number of items or numbers:

$\frac{12+10+10+8+6+7+7+12}{8}=9$

Step 3: Find the absolute deviations:

$12-9=3\\10-9=1\\10-9=1\\9-8=1\\9-6=3\\9-7=2\\9-7=2\\12-9=3\\$

Step 4: Add all the absolute deviations:

$3+1+1+1+3+2+2+3=16$

Step 5: Find the mean:

$\frac{3+1+1+1+3+2+2+3}{8}=2$

7 0

3 years ago

Businesses deposit large sums of money into bank accountsImagine an account with $10 million dollars in it.

adoni [48]

again, let's assume daily compounding means 365 days per year.

$~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$10000000\\ r=rate\to 2.12\%\to \frac{2.12}{100}\dotfill &0.0212\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (10000000)(0.0212)(1)\implies \boxed{I=212000}$

$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$10000000\\ r=rate\to 2.12\%\to \frac{2.12}{100}\dotfill &0.0212\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{daily, thus 365} \end{array}\dotfill &365\\ t=years\dotfill &1 \end{cases}$

$A=10000000\left(1+\frac{0.0212}{365}\right)^{365\cdot 1}\implies A\approx 10214256.88 \\\\\\ \underset{\textit{earned interest amount}}{10214256.88~~ - ~~10000000 ~~ \approx ~~ \boxed{214256.88}}$

what's their difference? well

$\stackrel{\textit{compounded daily}}{\approx 214256.88}~~ - ~~\stackrel{\textit{simple interest}}{212000}\implies \boxed{2256.88}$

7 0

1 year ago

PLZ HELP

myrzilka [38]

F=2 so multiply the x and y axis.

6 0

3 years ago

Brice wants to build a table and put a border around it. The table and border must have an area of 3,006 square inches. The tabl

SVEN [57.7K]

B is the correct answer.

We are adding the border of x thickness to all 4 sides of the table. This makes the new width of the table 36+x+x = 36+2x and the new length of the table 72+x+x=72+2x. To find the area, we multiply the length and width:

(36+2x)(72+2x) = 3006

Multiplying the binomials, we get:
36*72 + 36*2x + 2x*72 + 2x*2x = 3006
2592 + 72x + 144x + 4x² = 3006

Combining like terms gets us
2592 + 216x + 4x² = 3006

Subtract 3006 from both sides:
2592 + 216x + 4x² - 3006 = 3006 - 3006
-414 + 216x + 4x² = 0

Writing in standard form we have
4x²+216x-414=0

8 0

3 years ago

Please help! please show work. will give brainleist!

stepan [7]

So here we have similar parallelograms. Which means, that 24/16 must equal to y/4.
24/16=y/4
3/2=y/4
4•3=2•y
12=2y
y=6

7 0

2 years ago

Read 2 more answers