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Nutka1998 [239]
3 years ago
7

If Jeannie invests $7,250 at a rate of 12%,

Mathematics
1 answer:
Tanya [424]3 years ago
4 0
The answer is $8,700
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Prove that<br>{(tanθ+sinθ)^2-(tanθ-sinθ)^2}^2 =16(tanθ+sinθ)(tanθ-sinθ)
USPshnik [31]

First, expand the terms inside the bracket you will get

(( \tan {}^{2} (x)  + 2 \tan(x)  \sin(x)  +  \sin {}^{2} (x)  - ( \tan {}^{2} (x)  - 2 \tan(x)  +  \sin {}^{2} (x) ) {}^{2}  = 16( \tan(x)  +  \sin(x) )( \tan(x)  -  \sin(x) )

( 4 \tan(x)  \sin(x) ) {}^{2}  = 16( \tan(x)  +  \sin(x) )( \tan(x)  -  \sin(x) )

16 \tan {}^{2} (x)  \sin {}^{2} (x)  = 16( \tan(x)  +  \sin(x) )( \tan(x)  -  \sin(x) )

16 \tan {}^{2} (x) (1 -  \cos {}^{2} (x) ) = 16 (\tan(x)  +  \sin(x) )( \tan(x)  -  \sin(x) )

16( \tan {}^{2} (x)  -   \frac{  \sin {}^{2} (x) \cos {}^{2} ( {x}^{} )  }{ \cos {}^{2} (x) }

16( \tan {}^{2} (x)  -  \sin {}^{2} (x) ) = 16( \tan(x)  +  \sin(x) )( \tan(x)  -  \sin(x) )

16( \tan(x)  +  \sin(x) )( \tan(x)  -  \sin(x)  = 16( \tan(x)  +  \sin(x) )( \tan(x)  -  \sin(x) )

5 0
2 years ago
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.<br> r = 9 sin 7θ
boyakko [2]

Answer:

The given function symmetric about the y-axis.

Step-by-step explanation:

The given function is

r=9\sin 7\theta                .... (1)

1. Symmetry about the x-axis: If the point (r, θ ) lies on the graph, then the point  (r,-θ ) or (-r, π - θ ) also lies on the graph.

2. Symmetry about the y-axis: If the point (r, θ ) lies on the graph, then the point (r,π - θ ) or (-r, -θ ) also lies on the graph.

3. Symmetry about the origin: If the point (r, θ ) lies on the graph, then the point (-r, θ ) or (r, π + θ ) also lies on the graph.

Put (r, -θ ) in the given function.

r=9\sin 7(-\theta)=-9\sin 7\theta=-r\neq r

Therefore it is not symmetric about x-axis.

Put (-r, -θ ) in the given function.

-r=9\sin 7(-\theta)=-9\sin 7\theta=-r

Therefore it is symmetric about y-axis.

Put (-r,θ ) in the given function.

-r=9\sin 7(\theta)=r\neq -r

Therefore it is not symmetric about the origin.

3 0
3 years ago
What is an equation in point slope form for the given point and slope? Point: (7,4) Slope: 6
svlad2 [7]
Y-y1=m(x-x1) for slope=m
point is (x1,y1)

pont s (7,4)
slope is 6
x1=7
y1=4

y-4=6(x-7)

2nd one is correct answer
4 0
3 years ago
Emanuel was charged \$32$32dollar sign, 32 for a 14\dfrac29 \text{ km}14
Degger [83]

Answer:

2.25

Step-by-step explanation:

because you  have to divide 32 by 14 2/9 resulting in the the 14 2/9 to be 128/9 and then flipped, 9/128. Afterwards, cross out the the 32 and 128 since 32 is a factor of 128 to get 1 and 4.Then apply mutiplication 1/1 * 9/4= 9/4 or 2 1/4= 2.25 

7 0
3 years ago
Tom works for a manufacturing plant and makes $7.00 per hour. Last week he worked 49 hours. For the hours above 40, he receives
melamori03 [73]
40*7+9*(7+7/2)=374.5
3 0
3 years ago
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