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3 years ago

7

A store purchases an item wholesale for 60$ and marks it up by 70 percent if there is a 7 percent tax on the item how much will

the item cost

1 answer:

seropon [69]3 years ago

6 0

Answer:

109.14

Step-by-step explanation:

to Start off do 60 x .70, then add the answer to 60, then multiply by .07 then add that to 102, for the answer of 109.14

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Mandarinka [93]

I could be wrong but from what I’ve learned..
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What are the real and imaginary parts of the complex number?

Hoochie [10]

Answer:

real: -9
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Step-by-step explanation:

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In (a +bi), (a) is the real part, and (b) is the imaginary part.

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2 years ago

1. sin(x+20) = cos(2x+10)<br> 2. sin (2x+14) = cos(x-5)

lakkis [162]

Answer:

x=20°

2.

x=27°

Step-by-step explanation:

sin(x+20)=cos (2x+10)

=sin (90-(2x+10))

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x+20+2x+10=90

3x=90-30

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3 years ago

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 73 and 9

Naddika [18.5K]

Answer: After about 9.03 hours the temperature first reach 82 degrees.

Step-by-step explanation:

The sinusoidal function is given by :

$y=A\sin[\omega(x-\alpha)]+C$

where, A = amplitude; $\omega=\dfrac{2\pi}{period}$ , α= phase shift on the Y-axis and C = midline.

As per given,

Average daily temperature= $C=\dfrac{73+97}{2}=85$ [midline is average of upper and lower limit.]

A= 97-85 = 12

Phase shift: $\alpha=10$

Period = 24 hours;

$\omega=\dfrac{2\pi}{24}=\dfrac{\pi}{12}$

Substitute all values in sinusoidal function, we get

$y=12\sin[\dfrac{\pi}{12}(x-10)]+85$

Put y= 82, we get

$82=12\sin[\dfrac{\pi}{12}(x-10)]+85\\\\\Rightarrow\ -3= 12\sin[\dfrac{\pi}{12}(x-10)]\\\\=\dfrac{-1}{4}= \sin[\dfrac{\pi}{12}(x-10)]\\\\\Rightarrow\ \dfrac{\pi}{12}(x-10)=\sin^{-1}(\dfrac{-1}{4})\\\\\Rightarrow\ x-10=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))\\\\\Rightarrow\ x=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))+10\\\Rightarrow\ x\approx9.03$

Hence, After about 9.03 hours the temperature first reach 82 degrees.

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