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Genrish500 [490]
3 years ago
10

The price of gold is often reported per ounce. At the end of 2005, this price was $513. At the end of 2015, it was $1060. By wha

t percentage did the price per ounce of gold increase? PLEASE HELP!!!!
Mathematics
1 answer:
cricket20 [7]3 years ago
8 0

Answer:

the answer is 106.63%.

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What is the slope of a line that is perpendicular to the line y= 1/3 x - 2
drek231 [11]

Answer:

slope = - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \frac{1}{3} x - 2 ← is in slope- intercept form

with slope m = \frac{1}{3}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{1}{3} } = - 3

4 0
3 years ago
Using everyday knowledge, indicate whether the if then statements are correct forward-only or both forward and reverse. Statemen
tankabanditka [31]

Answer:

The reason Statement 1 can be both forward and reverse is because is Bo and Mel are related then it will word forward and backward.

The reason Statement 2 can be only forward is because is the sprinklers are on then the grass is wet will work since it is saying ONLY the sprinklers are on. If it is reverse and the grass is wet if the sprinklers are ONLY on than that is false since if it rains than the grass can also be wet. So there are multiple ways that the grass can be wet hence the answers.

5 0
1 year ago
Find the x-coordinates where f ' (x)=0 for f(x)=2x+sin(4x) in the interval [0, pi]
MAVERICK [17]

Answer:

The x-coordinate is \dfrac{\pi}{6}[/tex].

Step-by-step explanation:

We are given a function f(x) as:

f(x)=2x+\sin (4x)

Now on differentiating both side with respect to x we get that:

f'(x)=2+4 \cos (4x)

When f'(x)=0

this means that 2+4\cos (4x)=0\\\\4\cos (4x)=-2\\\\\cos(4x)=\dfrac{-1}{2}

Hence, cosine function takes the negative value in second and third quadrant but we have to only find the value in the interval [0,\pi].

also we know that \cos (\dfrac{2\pi}{3})=\dfrac{-1}{2}----(1) (which lie in the second quadrant)

so on comparing our equation with equation (1) we obtain:

4x=\dfrac{2\pi}{3}\\\\x=\dfrac{\pi}{6}

Hence, the x-coordinates where f'(x)=0 for f(x)=2x+\sin(4x) is \dfrac{\pi}{6}.

5 0
3 years ago
Thaddeus shakes his head as he pays $12.37 to the clerk for lunch. Complaining to a friend, Thaddeus says, “Do you realize that
atroni [7]

a)

his income must be "x" which is the 100%, and we would know that 0.2% of that is 12.37.

\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 12.37&0.2 \end{array}\implies \cfrac{x}{12.37}=\cfrac{100}{0.2}\implies 0.2x=1237 \\\\\\ x=\cfrac{1237}{0.2}\implies x=61.85

b)

his income must be "x" which is the 100%, and we would know that 2% of that is 12.37.

\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 12.37&2 \end{array}\implies \cfrac{x}{12.37}=\cfrac{100}{2}\implies 2x=1237 \\\\\\ x=\cfrac{1237}{2}\implies x=618.5

btw he's not making much either way.

7 0
2 years ago
Solve the inequality for x. –4x + 6 < 50 A) x > –11 B) x > –14 C) x < –11 D) x < –14
Natali [406]

Answer:

x > -11

Step-by-step explanation:

<u>Step 1:  Subtract 6 from both sides</u>

-4x + 6 - 6 < 50 - 6

-4x < 44

<u>Step 2:  Divide both sides by -4</u>

-4x / -4 < 44 / -4

If you divide by a negative number, you flip the sign.

<em>x > -11</em>

<em />

Answer:  x > -11

6 0
3 years ago
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