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2 years ago

Amari pays $7,440 in taxes on his income of $46,500. What percentage of his income is going toward taxes???

Mathematics

2 answers:

MakcuM [25]2 years ago

6 0

Answer:

16%

Step-by-step explanation:

percent = part/whole × 100%

percent = 7440/46500 × 100%

percent = 0.16 × 100%

percent = 16%

Marat540 [252]2 years ago

3 0

Answer:

Step-by-step explanation:

You divide 7,440 by 46,500 because that is the amount of his income going towards taxes.

7440/46500 = .16

.16=16%

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4 years ago

Find the probability of spinning a 2 or 4 on a wheel of 8 and rolling a 6 on a die.

k0ka [10]

Answer:

1. 1/4

2. 1/6

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3 years ago

which rule describes the composition of transformations that maps pre- image ABCD to final image A’’B’’C’’D’’ ?

OLga [1]

We have to find the transformation that maps preimage ABCD to A" B" C"D" .

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3 years ago

Find all solutions to the equation in the interval [0,2n) cos x = sin 2x

Serggg [28]

Answer:

$\huge\boxed{x\in\left\{\dfrac{\pi}{6};\ \dfrac{\pi}{2}\ \dfrac{3\pi}{2};\ \dfrac{5\pi}{6}\right\}}$

Step-by-step explanation:

$\cos x=\sin2x\qquad|\text{use}\ \sin\theta=2\sin\theta\cos\theta\\\\\cos x=2\sin x\cos x\qquad|\text{subtract}\ \cos x\ \text{from both sides}\\\\0=2\sin x\cos x-\cos x\\\\2\sin x\cos x-\cos x=0\qquad|\text{distribute}\\\\\cos x(2\sin x-1)=0\iff\underbrace{\cos x=0}_{(1)}\ \vee\ \underbrace{2\sin x-1=0}_{(2)}$

$(1)\\\cos x=0\Rightarrow x=\dfrac{\pi}{2}+k\pi;\ k\in\mathbb{Z}$

$(2)\\2\sin x-1=0\qquad|\text{add 1 to both sides}\\\\2\sin x=1\qquad|\text{divide sides by 2}\\\\\sin x=\dfrac{1}{2}\Rightarrow x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi$

$\text{From}\ (1)\ \text{and}\ (2)\ \text{we have}\\\\x=\dfrac{\pi}{2}+k\pi\ \vee\ x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi\\\\\text{We have the interval}\ x\in[0;2\pi).\ \text{Therefore the solution is:}\\\\x\in\left\{\dfrac{\pi}{6};\ \dfrac{\pi}{2}\ \dfrac{3\pi}{2};\ \dfrac{5\pi}{6}\right\}$

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3 years ago